The present invention relates to a hydraulic support monitoring a support pose in real time based on an inertia measurement unit (IMU) applicable to the field of automation control of coal mine underground devices.
The present invention further relates to a method for detecting a support pose of a hydraulic support in real time based on an IMU.
Coal is important basic energy and an important raw material in China, accounting for 62% of China's total energy consumption. China is currently the largest coal producer and consumer in the world. Moreover, China's energy occurrence condition of being oil poor and gas short also determines the current dependence on coal.
The environment of coal mine underground fully-mechanized working faces is severe, and high labor intensity is harmful to miners' health and even endangers their life. With the development of science and technology in China, new automation control technologies keep being introduced in the coal mine industry. Therefore, the automation in the coal mine industry is gradually improved, and working conditions of workers are improved to some extent. However, complex and severe working conditions at fully-mechanized working faces still endanger the health and life of workers. Such harms can be effectively avoided by implementing mining with fewer or no workers at working faces. Moreover, conventional coal mining mainly relies on workers. Particularly, dozens to hundreds of hydraulic supports are used at a fully-mechanized face. Manual operations are not enough to accurately determine support states of the supports. It is neither reliable nor efficient to adjust support states based on working experience.
There is no effective method for sensing a support pose. According to mechanisms of a hydraulic support, a support pose can be obtained as soon as a real-time length of an actuating cylinder of the support is measured. However, due to the restriction of a coupling effect between the mechanisms of the hydraulic support and a severe underground environment, it is impossible to use a sensor to directly measure the length of the actuating cylinder to obtain the support pose.
A main mechanism of a hydraulic support includes two degrees of freedom, and a movement state may be determined by using two driving members. As the hydraulic support moves, lengths of a column and a balance jack that are used as driving parts of the hydraulic support determine the support pose of the hydraulic support. However, due to a severe underground environment and a limitation of conditions, the length of the actuating cylinder cannot be directly measured by using a sensor.
In view of the defects in the prior art, the present invention provides a hydraulic support monitoring a support pose in real time based on an IMU. IMU sensors are mounted on a roof beam, a rear linkage, and a base, and an auxiliary support pose monitoring system is disposed. Movement states of the roof beam, the rear linkage, and the base are measured to monitor a support pose of the hydraulic support in real time. Especially, it can be technically guided to lower, move or raise the hydraulic support, thereby effectively reducing the labor intensity of workers and improving the working efficiency of the hydraulic support.
To achieve the foregoing technical objective, the present invention uses the following technical solutions:
A hydraulic support monitoring a support pose in real time based on an IMU includes a base, a roof beam, a gob shield, a front linkage, a rear linkage, a column, and a balance jack. The roof beam is supported above the base by the column, a tail end of the roof beam is hinged to one end of the gob shield, and the other end of the gob shield is provided with a site C and a site D that are spaced apart from each other. The site C and the site D of the gob shield are respectively hinged to a site A and a site B on the base by the front linkage and the rear linkage, to form a four-linkage support mechanism. One end of the balance jack is connected to the roof beam, and the other end is connected to the gob shield. The hydraulic support further includes three IMU sensors and a support pose monitoring system. The three IMU sensors are a first IMU sensor, a second IMU sensor, and a third IMU sensor. The first IMU sensor is mounted on the roof beam, and is configured to detect attitude angle information of the roof beam and feed the attitude angle information back to the support pose monitoring system. The second IMU sensor is mounted on the rear linkage, and is configured to detect attitude angle information of the rear linkage and feed the attitude angle information back to the support pose monitoring system. The third IMU sensor is mounted on the base, and is configured to detect attitude angle information of the base and feed the attitude angle information back to the support pose monitoring system. The support pose monitoring system includes an attitude angle information acquisition module, an attitude angle information analysis and processing module, and a support pose output module. The attitude angle information acquisition module can receive the attitude angle information detected by each IMU sensor, and transmit the attitude angle information to the attitude angle information analysis and processing module. The attitude angle information analysis and processing module can receive the attitude angle information transmitted by the attitude angle information acquisition module, perform conversion calculation by combining the received attitude angle information with the length of each bar in the four-linkage support mechanism and according to a D-H matrix coordinate conversion principle, to obtain a support height h of the hydraulic support, and compare the obtained support height h with support height target values after the support is lowered, moved or raised, to determine whether the support is adequately lowered, moved or raised, thereby monitoring a support pose of the hydraulic support in a process of lowering, moving or raising the hydraulic support.
As a further improvement of the present invention, the attitude angle information analysis and processing module includes a D-H coordinate conversion module, implementing coordinate conversion by using an absolute coordinate system {O0} and a D-H coordinate system. The D-H coordinate system includes a base coordinate system {O1}, a rear linkage coordinate system {O2}, a gob shield coordinate system {O3}, and a roof beam coordinate system {O4}. In the absolute coordinate system {O0}, a horizontal direction of a longitudinal plane of the support is used as an X-axis direction, an upward direction perpendicular to the X axis in the longitudinal plane of the support is used as a Y-axis direction, and an outward direction perpendicular to the longitudinal plane of the support is used as a Z-axis direction. The base coordinate system {O1} is a D-H coordinate system established by using a point O as the origin; the rear linkage coordinate system {O2} is a D-H coordinate system established by using a joint site A between the rear linkage and the base as the origin; the gob shield coordinate system {O3} is a D-H coordinate system established by using a joint site C between the gob shield and the rear linkage as the origin; and the roof beam coordinate system {O4} is a D-H coordinate system established by using a joint site F between the roof beam and the gob shield as the origin. The D-H coordinate conversion module includes a joint rotation angle conversion module and a support pose conversion module. The joint rotation angle conversion module can perform geometric conversion according to the received attitude angle information and by combining the length of each bar in the four-linkage support mechanism to respectively obtain a joint rotation angle θ1 of the base, a joint rotation angle θ2 of the rear linkage, a joint rotation angle θ3 of the gob shield, a joint rotation angle θ4 of the roof beam, and transmit the obtained joint rotation angles to the support pose conversion module. The support pose conversion module obtains the support height h of the hydraulic support according to a D-H coordinate conversion principle, by using a D-H matrix analysis method, and by combining each joint rotation angle transmitted by the joint rotation angle conversion module.
Another technical objective of the present invention is to provide a detection method of a hydraulic support monitoring a support pose based on an IMU. In a step of lowering, moving or raising a hydraulic support in the detection method, a support pose of the hydraulic support needs to be monitored in real time to determine whether the hydraulic support has been lowered, moved or raised to reach a target support pose, where the support pose of the hydraulic support is represented by an attitude angle of a roof beam and a support height h of a support height reference point K selected on the roof beam. The detection method includes the following steps:
(1) in a process of lowering, moving or raising the support, recording pose information fed back by each IMU sensor in real time to update an attitude angle of a component on which the IMU sensor is mounted, where
there are three IMU sensors, which are a first IMU sensor mounted on the roof beam, a second IMU sensor mounted on a rear linkage, and a third IMU sensor mounted on a base;
(2) performing coordinate conversion and geometric conversion by combining the pose information detected by each IMU sensor in an absolute coordinate system with the length of each bar in a four-linkage support mechanism to respectively obtain a joint rotation angle θ1 of the base, a joint rotation angle θ2 of the rear linkage, a joint rotation angle θ3 of the gob shield, and a joint rotation angle θ4 of the roof beam; and
(3) performing coordinate conversion between an absolute coordinate system {O0} and a D-H coordinate system according to a D-H matrix coordinate transformation principle, according to the obtained joint rotation angle θ1 of the base, joint rotation angle θ2 of the rear linkage, joint rotation angle θ3 of the gob shield, and joint rotation angle θ4 of the roof beam, and by combining structural parameters of the hydraulic support and the attitude angle of the roof beam fed back by the first IMU sensor to obtain the support height h, where the support height h is expressed by a vertical distance between the support height reference point K and the origin O of the base in a Y-axis direction.
In the absolute coordinate system {O0}, a horizontal direction of a longitudinal plane of the support is used as an X-axis direction, an upward direction perpendicular to the X axis in the longitudinal plane of the support is used as a Y-axis direction, and an outward direction perpendicular to the longitudinal plane of the support is used as a Z-axis direction. The base coordinate system {O1} is a D-H coordinate system established by using a point O as the origin; the rear linkage coordinate system {O2} is a D-H coordinate system established by using a joint site A between the rear linkage and the base as the origin; the gob shield coordinate system {O3} is a D-H coordinate system established by using a joint site C between the gob shield and the rear linkage as the origin; and the roof beam coordinate system {O4} is a D-H coordinate system established by using a joint site F between the roof beam and the gob shield as the origin.
It is determined, by comparing the calculated support height h with support height target values after the support is lowered, moved or raised, whether the hydraulic support is adequately lowered, moved or raised.
If in the lowering process, the calculated support height h is the same as a support height target value of lowering, it indicates that the support is adequately lowered, and the support starts to be moved; otherwise, the support continues being lowered;
if in the moving process, the calculated support height h is the same as a support height target value of moving, it indicates that the support is adequately moved, and the support starts to be raised; otherwise, the support continues being moved; and
if in the raising process, the calculated support height h is the same as a support height target value of raising, it indicates that the support is adequately raised, and the entire operation procedure of the hydraulic support is ended; otherwise, the support continues being raised.
According to the foregoing technical solutions, compared to the prior art, the present invention has the following advantages:
In the present invention, an IMU sensor is mounted on each of a base, a rear linkage, and a roof beam, so that movement states of the base, the rear linkage, and the roof beam may be detected in real time. A pose (an attitude angle {right arrow over (α4)} of the roof beam, and a support height h) of a hydraulic support is detected in real time by using a specific data processing system. Especially, it can be technically guided to lower, move or raise the hydraulic support, thereby effectively reducing the labor intensity of workers and improving the working efficiency of the hydraulic support.
in the figure: 1-column; 2-pushing device; 3-base; 4-rear linkage; 5-front linkage; 6-gob shield; 7-roof beam; and 8-balance jack;
in the accompanying drawing:
{O0} is an absolute coordinate system, in which a horizontal direction of a longitudinal plane of the hydraulic support is used as an X-axis direction, an upward direction perpendicular to the X axis is used as a Y-axis direction, and an outward direction perpendicular to the X-Y plane is used as a Z-axis direction, where the origin O is set at a tail end of a base;
{x1Oy1} is a base coordinate system {O1}, and an attitude angle of the base is {right arrow over (α1)}=(α1,x, α1,y, α1,z), where α1,x, α1,y, and α1,z are respectively rotation angle components on the X axis, Y axis, and Z axis;
{x2Ay2} is a rear linkage coordinate system {O2}, and an attitude angle {right arrow over (α2)} of a rear linkage is {right arrow over (α2)} (α2,x, α2,y, α2,z), where α2,x, α2,y, and α2,z are respectively rotation angle components on the X axis, Y axis, and Z axis;
{x3Cy3} is a gob shield coordinate system {O3};
{x4Fy4} is a roof beam coordinate system {O4}, and a support attitude angle {right arrow over (α4)} of a roof beam is {right arrow over (α4)}=(α4,x, α4,y, α4,z), where α4,x, α4,y, and α4,z are respectively rotation angle components of the attitude angle of the roof beam on the X axis, Y axis, and Z axis; and
h is a support height; λ1 is the length of a column; λ2 is the length of a balance jack; a joint rotation angle of the base is θ1; a joint rotation angle of the rear linkage is θ2; a joint rotation angle of the gob shield is θ3; and a joint rotation angle of the roof beam is θ4.
The technical solutions in the embodiments of the present invention are described with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some embodiments, rather than all embodiments, of the present invention. The description of at least one exemplary embodiment below is only for illustration, and should not be construed as any limitation on the present invention and applications or usages of the present invention. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention. Unless otherwise specifically stated, the components and relative deployment of steps, expressions and values described in the embodiments do not limit the scope of the present invention. Moreover, it should be understood that, for ease of description, sizes of various parts shown in the accompanying drawings are not drawn according to an actual proportion relationship. Technologies, methods, and equipment known to a person of ordinary skill in the related art are not discussed in detail. However, in an appropriate case, the technologies, methods, and equipment should be regarded as a part of the authorized specification. In all the examples shown and discussed here, any specific values should be interpreted as merely exemplary and not as limitative. Therefore, different values may be used in other examples of the exemplary embodiments.
For ease of description, spatial relative terms such as “above”, “under”, “above the upper surface”, “upper”, can be used here to describe spatial location relationships between a device or feature and other devices or features as shown in the figure. It should be understood that, the spatial relative terms are used to include different directions in use or operation in addition to the directions of the device described in the figure. For example, if the device in the accompanying drawings is inverted, the device described as “being above or on another device” or construction shall be positioned as “being below or under another device or construction”. Therefore, the exemplary term “above” may include two directions of “above” or “below”.
As shown in
The attitude angle information analysis and processing module includes a D-H coordinate conversion module, implementing coordinate conversion by using an absolute coordinate system {O0} and a D-H coordinate system. The D-H coordinate system includes a base coordinate system {O1}, a rear linkage coordinate system {O2}, a gob shield coordinate system {O3}, and a roof beam coordinate system {O4}. In the absolute coordinate system {O0}, a horizontal direction of a longitudinal plane of the support is used as an X-axis direction, an upward direction perpendicular to the X axis in the longitudinal plane of the support is used as a Y-axis direction, and an outward direction perpendicular to the longitudinal plane of the support is used as a Z-axis direction. The base coordinate system {O1} is a D-H coordinate system established by using a point O as the origin; the rear linkage coordinate system {O2} is a D-H coordinate system established by using a joint site A between the rear linkage and the base as the origin; the gob shield coordinate system {O3} is a D-H coordinate system established by using a joint site C between the gob shield and the rear linkage as the origin; and the roof beam coordinate system {O4} is a D-H coordinate system established by using a joint site F between the roof beam and the gob shield as the origin. The D-H coordinate conversion module includes a joint rotation angle conversion module and a support pose conversion module. The joint rotation angle conversion module can perform geometric conversion according to the received attitude angle information and by combining the length of each bar in the four-linkage support mechanism to respectively obtain a joint rotation angle θ1 of the base, a joint rotation angle θ2 of the rear linkage, a joint rotation angle θ3 of the gob shield, a joint rotation angle θ4 of the roof beam, and transmit the obtained joint rotation angles to the support pose conversion module. The support pose conversion module obtains the support height h of the hydraulic support according to a D-H coordinate conversion principle, by using a D-H matrix analysis method, and by combining each joint rotation angle transmitted by the joint rotation angle conversion module.
The support pose conversion module expresses the support height h by using a vertical distance between a support height reference point K and the origin O of the base in a Y-axis direction:
h=P(xk0, yk0, 0)Y−P(0,0,0)Y
In the expression: a pose P(xK0, yK0, 0) of the support height reference point K in the longitudinal plane of the hydraulic support is determined by using the following expression:
A specific manner of verifying effectiveness of an x axis {circumflex over (n)}=(nx, ny, nz)=ô×â of the roof beam in an absolute coordinate system in the pose P(xK0, yK0, 0) is that: a calculated value {right arrow over (α′4)}=(α′4,x, α′4,y, α′4,z) of an attitude angle of the roof beam of the hydraulic support may be calculated by using the following expression:
The calculated value {right arrow over (α′4)} of the attitude angle of the roof beam calculated by using the foregoing expression is compared with the attitude angle {right arrow over (α4)} of the roof beam detected by the first IMU sensor mounted on the roof beam. If a difference between the two values is within an allowable error range, the support height h may be calculated by using an expression of the support height h; and if the difference between the two values is beyond the allowable error range (when conditions occur underground, for example, when the hydraulic support suffers from relatively severe shock by surrounding rocks or roof plates, a calculation error may occur), the hydraulic support needs to be initialized.
The support height reference point K is any point on the roof beam; P(xk0, yk0, 0)Y is a coordinate component of a pose of the point K in the absolute coordinate system {O0} on the Y axis; P(0, 0, 0)Y is a coordinated component of a pose of the origin O in the absolute coordinate system {O0} on the Y axis; and P(xK0, yK0, 0) is a coordinate value of the support height reference point K in the absolute coordinate system {O0}.
T01(θ1) is the transformation matrix of the base coordinate system {O1} relative to the absolute coordinate system {O0}; T12(θ2) is the transformation matrix of the rear linkage coordinate system {O2} relative to the base coordinate system {O1}; T23(θ3) is the transformation matrix of the gob shield coordinate system {O3} relative to the rear linkage coordinate system {O2}; and T34(θ4) is the transformation matrix of the roof beam coordinate system {O4} relative to the gob shield coordinate system {O3}.
P(xK4, yK4, 0) represents the pose of the point K in the roof beam coordinate system {O4}, and is determined by structural parameters of the hydraulic support; and the foregoing coordinate conversion matrix Ti−1i(θi) represents the transformation matrix of a joint site of the hydraulic support in {Oi} relative to a coordinate system {Oi−1}, and is constructed by using D-H matrix parameters, where the D-H matrix parameters include a joint rotation angle θi, an offset di, and a torsion angle, and a linkage length li (i=1, 2, 3, . . . ).
θ1, θ2, θ3, and θ4 respectively represent a rotation angle of the base, a rotation angle of the rear linkage, a rotation angle of the gob shield, and a rotation angle of the roof beam.
â=(ax, ay, az) is referred to as an approach vector, which represents a z axis of the roof beam in the absolute coordinate system; ô=(ox, oy, oz) is referred to as an attitude vector, which represents a y axis of the roof beam in the absolute coordinate system; and {circumflex over (n)}=(nx, ny, nz)=ô×â is referred to as an x axis of the roof beam in the absolute coordinate system.
In the joint rotation angle conversion module, the joint rotation angle θ1 of the base, the joint rotation angle θ2 of the rear linkage, the joint rotation angle θ3 of the gob shield, and the joint rotation angle θ4 of the roof beam are calculated by using the following expression:
where α1,z is a component of an attitude angle of the base in the absolute coordinate system {O0} in a Z direction; α2,z is a component of an attitude angle of the rear linkage in the absolute coordinate system {O0} in the Z direction; α4,z is a component of an attitude angle of the roof beam in the absolute coordinate system {O0} in the Z direction; ξ1 and ξ2 are structural parameters of the hydraulic support, and ε and η are intermediate parameters; and expressions of the structural parameters ξ1 and ξ2 of the hydraulic support and the intermediate parameters ε and η are as follows:
In the expressions: lAB is a distance between the joint site A and the joint site B in the four-linkage support mechanism; lBC is a distance between the joint site B and the joint site C in the four-linkage support mechanism, where lBC=√{square root over ((lAC)2+(lAB)2+2lAClBC cos(α1,z+α2,z−ξ1))}; lAC is a distance between the joint site A and the joint site C in the four-linkage support mechanism; lCD is a distance between the joint site D and the joint site C in the four-linkage support mechanism; lCC* is a distance between the joint site C and DC* in the four-linkage support mechanism, where C* is a foot point; lBD is a distance between the joint site B and the joint site D in the four-linkage support mechanism; lBB* is a distance between the joint site B and the base in the four-linkage support mechanism, where B* is a foot point of the joint site B on the base; and lOA is a distance between the joint site A and the origin O of the absolute coordinate system {O0} on the base in the hydraulic support.
In step (2), expressions of the joint rotation angle θ1 of the base, the joint rotation angle θ2 of the rear linkage, the joint rotation angle θ3 of the gob shield, and the joint rotation angle θ4 of the roof beam are calculated by using the following steps:
2.1. first, calculating coordinates of the joint sites A, B, C, and D in the coordinate system {O2} in the four-linkage support mechanism formed by the base, the front linkage, the rear linkage, and the gob shield, which are respectively A(0, 0), B(lAB sin(α2,z+α1,z−ξ1), (lAB cos(α2,z+α1,z−ξ1)), C(0, lAC), and D(xC2−lCD sin ε+θ,γC2−lCD cos ε+η);
2.2. calculating the distance lBC=√{square root over ((lAC)2+(lAB)2+2lAClBC cos(α1,z+α2,z−ξ1))} between the joint site B and the joint site C in the four-linkage support mechanism in real time; and
2.3. obtaining the expressions of the joint rotation angles θ1, θ2, θ3, and θ4 according to step 2.1 and step 2.2 and by combining intermediate parameters ε and η, where each expression is as follows:
where α1,z is a component of an attitude angle of the base in the absolute coordinate system {O0} in a Z direction; α2,z is a component of an attitude angle of the rear linkage in the absolute coordinate system {O0} in the Z direction; α4,z is a component of an attitude angle of the roof beam in the absolute coordinate system {O0} in the Z direction; ξ1 and ξ2 are structural parameters of the hydraulic support, and ε and η are intermediate parameters; and expressions of the structural parameters ξ1 and ξ2 of the hydraulic support and the intermediate parameters ε and η are as follows:
In the expressions: lAB is a distance between the joint site A and the joint site B in the four-linkage support mechanism; lBC is a distance between the joint site B and the joint site C in the four-linkage support mechanism; lAC is a distance between the joint site A and the joint site C in the four-linkage support mechanism; lCD is a distance between the joint site D and the joint site C in the four-linkage support mechanism; lCC* is a distance between the joint site C and DC* in the four-linkage support mechanism, where C* is a foot point; lBD is a distance between the joint site B and the joint site D in the four-linkage support mechanism; lBB* is a distance between the joint site B and the base in the four-linkage support mechanism, where B* is a foot point of the joint site B on the base; and lOA is a distance between the joint site A and the origin O of the absolute coordinate system {O0} on the base in the hydraulic support.
An expression of the support height h is obtained by using the following steps:
3.1. constructing the transformation matrix Ti−1i(θi) by which a joint site of the hydraulic support in {Oi} rotates about the Z axis in the longitudinal plane of the hydraulic support relative to the coordinate system {Oi−1}, where i=1, 2, 3, . . . ;
3.2. uniformly constructing Ti−1i(θi) by using D-H matrix parameters, where the D-H matrix parameters are a rotation angle θi, an offset di, a torsion angle, and a linkage length li;
3.3. solving a pose P(xx0, yx0, zx0,) of any point X on the hydraulic support in the absolute coordinate system {O0} by using each rotation angle θi, where
RPY (α1,x, α1,y, α1,z) represents a rotation matrix of the base obtained according to a roll-pitch-yaw rotation sequence;
3.4. selecting a point K on the roof beam as a support height reference point of the hydraulic support, where an expression of a pose of the point K in the absolute coordinate system {O0} in the longitudinal plane of the hydraulic support is as follows:
P(xK4, yK, 0) represents a pose of the point K in the roof beam coordinate system {O4}, and is determined by structural parameters of the hydraulic support;
3.5. an attitude matrix of the hydraulic support being:
3.6. verifying effectiveness of an x axis {circumflex over (n)}=(nx, ny, nz)=ô×â of the roof beam in the absolute coordinate system:
a calculated value {right arrow over (α4)}=(α′4,x, α′4,y, α′4,z) of an attitude angle of the roof beam of the hydraulic support may be calculated by using the following formula:
the calculated value {right arrow over (α4)} of the attitude angle of the roof beam calculated by using the foregoing expression is compared with the attitude angle {right arrow over (α4)} of the roof beam detected by the first IMU sensor mounted on the roof beam. If a difference between the two values is within an allowable error range, it indicates that the x axis of the roof beam in the absolute coordinate system, and the support height h may be calculated by using an expression of the support height h; and if the difference between the two values is beyond the allowable error range, the hydraulic support needs to be initialized; and
3.7. an expression of the support height h of the hydraulic support:
h=P(xk0, yk0, 0)Y−P(0,0,0)Y
In the expression: P(xk0, yk0, 0) is a coordinated component of the pose of the point K in the absolute coordinate system {O0} on the Y axis; and P(0, 0, 0)Y is a coordinated component of a pose of the origin O in the absolute coordinate system {O0} on the Y axis.
The following describes a specific embodiment of the present invention in detail with reference to the accompanying drawings.
First, a schematic diagram of a D-H coordinate system shown in
As shown in
As shown in
When the detection space is converted into the joint space, measured attitude angle information of three axes is divided into (α1,x, α1,y, α1,z), (α2,x, α2,y, α2,z), and (α4,x, α4,y, α4,z). A four-linkage mechanism formed by the base, a front linkage, the rear linkage, and the gob shield may perform geometric conversion to obtain a rotation angle variable of the gob shield in the joint space. Coordinates of points A, B, C, and D in the coordinate system {O2} represent joint points corresponding to X in the coordinates, and coordinates of the joint points in the {O2} are respectively A(0, 0), B(lAB sin(α2,z+α1,z−ξ1), (lAB cos(α2,x+α1,z−ξ1)), C(0, lAC), and D(xC2−lCD sin(ε+η), yC2−lCD cos(ε+η)), where intermediate parameters are solved according to the following expression:
where lBC is a distance between the point B and the point C in the four-linkage mechanism. As the four-linkage mechanism moves, the distance between the two points needs to be calculated in real time, and be solved as follows: lBC=√{square root over ((lAC)2+(lAB)2+2lAClBC cos(α1,z+α2,z−ξ1))} and
Based on the solving of the intermediate variables, conversion from the detection space into the joint space may be implemented, and a specific conversion relationship is as follows: (where ξ1 and ξ2 are structural parameters of the hydraulic support)
When the joint space is converted into the pose space, the transformation matrix by which joint points of the hydraulic support in {Oi} rotate about a Z axis in a longitudinal plane relative to the coordinate system {Oi−1} (i=1, 2, 3, . . . ) is shown in the following expression:
θi is an angle of counterclockwise rotation about the Z axis, and a coordinate transformation matrix of the coordinate system {Oi−1} (i=1, 2, 3, . . . ) is as follows:
A location coordinate of the point A in {O1} is (xA1, yA1), which is easily obtained, and the transformation matrix of the base coordinate system {O1} of the hydraulic support relative to an absolute coordinate system {O0} is shown in the following expression:
A location coordinate of the point C in {O2} is (xC2, yC2), and the transformation matrix of the rear linkage coordinate system {O2} of the hydraulic support relative to the base coordinate system {O1} is shown in the following expression:
A location coordinate of a point F in {O3} is (xF3, yF3), and the transformation matrix of the gob shield coordinate system {O3} of the hydraulic support relative to the rear linkage coordinate system {O2} is shown in the following expression:
A location coordinate of a point K in {O4} is (xK4, yK4), and the transformation matrix of the roof beam coordinate system {O4} of the hydraulic support relative to the gob shield coordinate system {O3} is shown in the following expression:
To unify conversion relationships between linkages, each transformation matrix may be represented by four geometric parameters of relationships between adjacent linkage coordinate systems of the D-H coordinate system, where the four geometric parameters are: a rotation angle θi, which is a rotation angle at which linkages of the hydraulic support rotate about the Z axis from an Xi axis in a direction parallel to an Xi−1 axis according to the right-hand rule; an offset di is a vertical distance between a Zi−1 axis and a Zi axis of the linkages of the hydraulic support; a linkage length li is a distance between an intersection of the linkages of the hydraulic support from the Zi−1 axis to the Zi axis and the ith coordinate origin along the Zi axis; a torsion angle αi is a rotation angle at which the linkages of the hydraulic support rotate about the Zi axis from the Zi−1 axis to the Zi axis according to the right-hand rule. The unified coordinate conversion matrix is as follows:
For the four-linkage mechanism of the hydraulic support (including the base, the rear linkage, and the gob shield), D-H matrix parameters are an rotation angle θi, an offset di, a torsion angle αi, and a linkage length li, so that D-H matrix parameters of the base, the rear linkage, the gob shield, and the roof beam are respectively {θ1, d1, α1, l1}, {θ2, d2, α2, l2}, {θ3, d3, α3, l3}, and {θ4, d4, α4, l4}. After each rotation angle is obtained, a pose of any point in {O0} may be obtained by using the following expression:
RPY (α1,x, α1,y, α1,z) represents a rotation matrix of the base obtained according to a roll-pitch-yaw rotation sequence, which is calculated as follows:
A support height reference point of the hydraulic support is determined as K(xK4, yK4, 0), and in the longitudinal plane of the hydraulic support, a pose of an execution terminal point K may be represented as follows:
The support height reference point K is any point on the roof beam; P(xk0, yk0, 0)Y is a coordinated component of a pose of the point K in the absolute coordinate system {O0} on the Y axis; P(0, 0, 0)Y is a coordinated component of a pose of the origin O in the absolute coordinate system {O0} on the Y axis; and P(xK0, yK0, 0) is a coordinated value of the support height reference point K in the absolute coordinate system {O0}.
T01(θ1) is the transformation matrix of the base coordinate system {O1} relative to the absolute coordinate system {O0}; T12(θ2) is the transformation matrix of the rear linkage coordinate system {O2} relative to the base coordinate system {O1}; T23(θ3) is the transformation matrix of the gob shield coordinate system {O3} relative to the rear linkage coordinate system {O2}; and T34(θ4) is the transformation matrix of the roof beam coordinate system {O4} relative to the gob shield coordinate system {O3}.
P(xK4, xK4, 0) represents the pose of the point K in the roof beam coordinate system {O4}, and is determined by structural parameters of the hydraulic support; and the foregoing coordinate conversion matrix Ti−1(θi) represents the transformation matrix of a joint site of the hydraulic support in {Oi} relative to a coordinate system {Oi−1}, and is constructed by using D-H matrix parameters, where the D-H matrix parameters include a joint rotation angle θi, an offset di, a torsion angle αi, and a linkage length li (i=1, 2, 3, . . . ).
θ1, θ2, θ3, and θ4 respectively represent a rotation angle of the base, a rotation angle of the rear linkage, a rotation angle of the gob shield, and a rotation angle of the roof beam.
â=(ax, ay, az) is referred to as an approach vector, which represents a z axis of the roof beam in the absolute coordinate system; ô=(ox, oy, oz) is referred to as an attitude vector, which represents a y axis of the roof beam in the absolute coordinate system; and {circumflex over (n)}=(nx, ny, nz)=ô×â is referred to as an x axis of the roof beam in the absolute coordinate system.
P(xK4, yK4, 0) is determined by structural parameters of the hydraulic support, and an attitude matrix is represented as:
A specific manner of verifying effectiveness of an x axis {circumflex over (n)}=(nx, ny, nz)=ô×â of the roof beam in the absolute coordinate system is that: a calculated value {right arrow over (α′4)}=(α′4,x, α′4,y, α′4,z) of the attitude angle of the roof beam of the hydraulic support may be calculated by using the following expression:
The calculated value {right arrow over (α′4)} of the attitude angle of the roof beam calculated by using the foregoing expression is compared with the attitude angle {right arrow over (α4)} of the roof beam detected by the first IMU sensor mounted on the roof beam. If a difference between the two values is within an allowable error range, it indicates that the x axis of the roof beam in the absolute coordinate system, and the support height h may be calculated by using an expression of the support height h; and if the difference between the two values is beyond the allowable error range, the hydraulic support needs to be initialized.
The support height h of the hydraulic support may be determined by a vertical distance between the point K and the origin O of the base in a Y-axis direction, and the support height of the hydraulic support may be solved according to the following expression:
h=P(xk0, yk0, 0)Y−P(0,0,0)Y
P(X)Y is defined as a coordinate component of a point X on the Y axis. The support height h and the attitude variables {right arrow over (α4)} of the hydraulic support may be obtained through the foregoing analysis and calculation, that is, conversion from the joint space into the pose space is implemented.
According to the hydraulic support, it can be known that the present invention may further provide a detection method of a hydraulic support monitoring a support pose based on an IMU. As shown in
(1) in a process of lowering, moving or raising the support, recording pose information fed back by each IMU sensor in real time to update an attitude angle of a component on which the IMU sensor is mounted, where
there are three IMU sensors, which are a first IMU sensor mounted on the roof beam, a second IMU sensor mounted on a rear linkage, and a third IMU sensor mounted on a base;
(2) performing coordinate conversion and geometric conversion by combining the pose information detected by each IMU sensor in an absolute coordinate system with the length of each bar in a four-linkage support mechanism to respectively obtain a joint rotation angle θ1 of the base, a joint rotation angle θ2 of the rear linkage, a joint rotation angle θ3 of the gob shield, and a joint rotation angle θ4 of the roof beam; and
(3) performing coordinate conversion between an absolute coordinate system {O0} and a D-H coordinate system according to a D-H matrix coordinate transformation principle, according to the obtained joint rotation angle θ1 of the base, joint rotation angle θ2 of the rear linkage, joint rotation angle θ3 of the gob shield, and joint rotation angle θ4 of the roof beam, and by combining structural parameters of the hydraulic support and the attitude angle of the roof beam fed back by the first IMU sensor to obtain the support height h, where the support height h is expressed by a vertical distance between the support height reference point K and the origin O of the base in a Y-axis direction.
In the absolute coordinate system {O0}, a horizontal direction of a longitudinal plane of the support is used as an X-axis direction, an upward direction perpendicular to the X axis in the longitudinal plane of the support is used as a Y-axis direction, and an outward direction perpendicular to the longitudinal plane of the support is used as a Z-axis direction. The base coordinate system {O1} is a D-H coordinate system established by using a point O as the origin; the rear linkage coordinate system {O2} is a D-H coordinate system established by using a joint site A between the rear linkage and the base as the origin; the gob shield coordinate system {O3} is a D-H coordinate system established by using a joint site C between the gob shield and the rear linkage as the origin; and the roof beam coordinate system {O4} is a D-H coordinate system established by using a joint site F between the roof beam and the gob shield as the origin.
It is determined, by comparing the calculated support height h with support height target values after the support is lowered, moved or raised, whether the hydraulic support is adequately lowered, moved or raised.
If in the lowering process, the calculated support height h is the same as a support height target value of lowering, it indicates that the support is adequately lowered, and the support starts to be moved; otherwise, the support continues being lowered;
if in the moving process, the calculated support height h is the same as a support height target value of moving, it indicates that the support is adequately moved, and the support starts to be raised; otherwise, the support continues being moved; and
if in the raising process, the calculated support height h is the same as a support height target value of raising, it indicates that the support is adequately raised, and the entire operation procedure of the hydraulic support is ended; otherwise, the support continues being raised.
Number | Date | Country | Kind |
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201811632720.4 | Dec 2018 | CN | national |
This application is the national phase entry of International Application No. PCT/CN2019/091625, filed on Jun. 18, 2019, which is based upon and claims priority to Chinese Patent Application No. 201811632720.4, filed on Dec. 29, 2018, the entire contents of which are incorporated herein by reference.
Filing Document | Filing Date | Country | Kind |
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PCT/CN2019/091625 | 6/18/2019 | WO | 00 |