1. Field of the Invention
The invention relates to a force generating device that is able to exert force on an object without contacting with the object.
2. Description of the Related Art
Conventional gripping tools or devices used to grip workpieces tend to touch the workpieces, which causes scratches and static electricity thereby producing discarded products and defective products.
In recent years, non-contact gripping tools or devices have been developed and applied in the production. A typical non-contact transporting/gripping device includes a housing and an internal member. The internal member is provided with a supplying port and is mounted inside the housing. The housing and the internal member are connected via a connecting bolt. The air is transported to the supplying port and then introduced to an annular channel via a connecting channel. By enabling the air to flow in an annular groove, the workpiece is maintained at a non-contact state relative to a supporting surface of the internal member. A cross section of the annular groove is designed to be substantially trapezoidal.
The non-contact transporting/gripping device utilizes the air swirl produced in a cylinder to produce a negative pressure in a central part of the cylinder, through which, the object is sucked and suspended.
Such non-contact transporting/gripping devices are generally called force generating devices. In practical application, it is desired to know the magnitude of the attraction force or the repulsion force exerted on the object by the force generating device. However, the conventional means, for example, a force sensor, is incapable of directly measuring the magnitude of the force exerted on the object.
In view of the above-described problems, it is one objective of the invention to provide a force generating device that is able to calculate the pressure distribution or the magnitude of the force.
To achieve the above objective, in accordance with one embodiment of the invention, there is provided a force generating device, comprising: a cup member, the cup member comprising a recess and a suction inlet; fan blades; and a calculus member configured to calculate a pressure. The recess is disposed at a bottom of the cup member and a cross section of the recess is slightly rounded. The suction inlet is disposed at a bottom surface of the cup member. The recess comprises a chamber communicating with the suction inlet. The fan blades are disposed inside the recess of the cup member. Air is sucked into the recess from the suction inlet and produces a swirl by rotation of the fan blades. The calculus member calculates the pressure according to equation: Pi(r)=½·ρ·2·ω2+C, in which, r represents a distance between a point inside the chamber of the recess of the cup member and a revolving center of the fan blades, Pi(r) represents a pressure at the point, ρ represents a density of the air, ω represents an angular velocity of the swirl, and C represents a coefficient.
In a class of this embodiment, the device further comprises: at least one pressure sensor for measuring the pressure at one point, and a rotational speed sensor for measuring the angular velocity of the swirl in the recess. Based on a measured pressure and angular velocity, the calculus member calculates the value of coefficient C.
In a class of this embodiment, a detection position of the pressure sensor is disposed at a rotational shaft of the fan blades, and a pressure detected by the pressure sensor is Pi(0).
In a class of this embodiment, the device comprises at least two pressure sensors for measuring pressures in the recess at two points having different distance; and the calculus member calculates the coefficient C and a square of a rotational speed (ω2) according to measured pressures of at least the two points.
In a class of this embodiment, a detection position of the pressure sensor is disposed at a rotational shaft of the fan blades, and a pressure detected by the pressure sensor is Pi(0).
In a class of this embodiment, an inner side surface of the cup member is a cylindrical surface, and a diameter of the cylindrical surface is R1. An outer side surface of the cup member is a cylindrical surface, and a diameter of the cylindrical surface is R2. The pressure calculated by the calculus member further comprise Po(r)=Pi(R1)/ln(R1/R2)·ln(r/R2).
Advantages according to embodiments of the invention are summarized as follows: The cup member is provided with the calculus member that calculates the pressure based on the corresponding equations, thereby being convenient for the user to know the parameter of the pressure.
The invention is described hereinbelow with reference to the accompanying drawings, in which:
For further illustrating the invention, experiments detailing a force generating device are described below. It should be noted that the following examples are intended to describe and not to limit the invention.
A force generating device described in Example 1 is shown in
Eight fan blades 4 are provided in this example. The rotation of the motor 6 drives the fan blades 4 to rotate in a direction indicated by arrows in
A workpiece 9 is disposed at a bottom of the cup member 1. At such a state, the motor 6 begins to rotate at a rotational speed of between 1000 and 20000 rpm, so that the swirl is produced in the recess 2 of the cup member 1. Distribution of negative pressure produced by the swirl in the cup member 1 is shown in
In conditions that only one non-contact gripping tool shown in
As shown in
Furthermore, in practical transportation process when workpieces of different weights are to be gripped and transported, it is required to regulate the forces of the non-contact gripping tools according to the weight of workpiece, so that the weight of the workpiece must be measured on the premise of non-contacting with the workpiece.
When using the non-contact gripping tools to transport the workpiece, the non-contact gripping tools move up and down in the vertical direction in gripping the workpiece. In condition of too large an acceleration of the non-contact gripping tools in the vertical direction, the workpiece is unable to follow the movement of the non-contact gripping tool, thereby falling down. To solve the problem, it is required to properly regulate the force according to the acceleration of the non-contact gripping tool in the vertical direction. Thus, it is necessary to infer the pressure distribution or the force of the non-contact gripping tool.
In practical applications, it is required to know the force produced by the non-contact gripping tool. However, the conventional mechanical method is unable to measure the force of the non-contact gripping tools in the absence of contact between the non-contact gripping tools and the workpiece.
Thus, the pressure distribution and the force of the non-contact gripping tools are inferred as follows:
The non-contact gripping tool and the pressure distribution thereof are shown in
ρ·r·ω2=dPi(r)/dr
Integration of the differential equation is performed in the radius direction to obtain equation (1), in which, a unit of the pressure Pi(r) is a gauge pressure:
Pi(r)=½·ρ·r2·ω2+C (1)
ρ represents the density of the gas (the air), ω represents the angle velocity of the swirl in the cup member, C represents a coefficient. In another words, the pressure Pi(r) distribution is in a parabolic shape. Besides, in order to specifically calculate the pressure Pi(r) using the equation (1), a distance between an outermost end of each fan blade 4 and an inner wall of the cup member 1 must be as small as possible.
The non-contact gripping tool in the working sate is capable of producing the swirl having a certain rotational speed. Thus, the pressure Pi(r) within the range of r <R1 can be approximately expressed by the equation (1).
Furthermore, within the range of R1<r<R2, the viscosity of the air plays a primary dominant role. The pressure Po(r) distribution can be expressed by the following differential equation:
d(r·dPo(r)/dr)/dr=0
Integration of the differential equation is performed in the radius direction to obtain:
Po(r)=Pi(R1)/ln(R1/R2)·ln(r/R2) (2)
Herein the pressure Po(r) is a gauge pressure, that is, the pressure Po(r) distribution of the non-contact gripping tool at the working state within the range of R1<r<R2 can be approximately expressed by the equation (2).
As shown in
The pressure sensor 7 measures pressures of at least one point within the range of r<R1 with a certain sampling period. The pressure sensor 7 is disposed above the cup member 1. Pressures at points of the same radius within the cup member 1 in the vertical direction are equivalent. This has been demonstrated by experiments. Thus, the pressure detected by the pressure sensor disposed above the cup member is equal to the pressure at points of the same radius on the workpiece 9.
The rotational speed sensor 10 measures the rotational speed of the fan blades, i. e., the rotational speed of the swirl, with a certain sampling period. For example, the rotational speed sensor 10 utilizes an external grating encoder, or a Hall sensor disposed inside the motor; or the rotational speed is calculated by detecting the current and the voltage of the motor.
The equation (1) is derived into equation (3):
C=Pi(r)−½·ρ·r2·ω2 (3)
A measured pressure value Pm at points of a radius of rm and the measured rotational speed value ωm are put into the equation (3) to calculate the coefficient C.
C=P
m−½·ρ·rm2·ωm2 (4)
In the non-contact gripping tool shown in
In such conditions, the equation (4) can be simplified as equation (4′), and the measured pressure value Pm is equal to the coefficient C.
C=Pm (4′)
In another word, the non-contact gripping tool is capable of using the equation (1′) to calculate Pi(r).
Pi(r)=½·ρ·r2·2·ωm2+Pm (1′)
When the coefficient C is calculated, the pressure distribution Pi(r) within the range of the radius r<R1 is known. The Pi(r) can be used to calculate the pressure Pi(R1) at the points of the radius r=R1. When the Pi(R1) is acquired, the pressure distribution Po(r) within the range of R1 <r <R2 can be calculated according to the equation (2).
The force produced by the non-contact gripping tool can be calculated by area integration of the equation (1) and the equation (2), and the formula is as follows:
F=∫
0
R1[2πr·Pi(r)]dr+∫R1R2[2πr·Po(r)]dr (5)
As shown in
The pressure sensors 27a and 27b are mounted in the range of r<R1, and the points thereof have different distance from the center. At least two points of rm1 and rm2 must be provided with pressure sensors to measure the pressures Pm1 and Pm2.
The pressure values Pm1 and Pm2 of at least two points are utilized by the calculus member 28 to calculate the coefficient C and a second power of the angle velocity ω2. Pressure values Pm1 and Pm2 at these two points are used to calculate the coefficient C and ω2 by using the following two equations.
P
m1=½·ρ·rm12·ω2+C (1a)
P
m2=½·ρ·rm22·ω2+C (1b)
In the non-contact gripping tool of Example 7, the pressure sensor 27a is arranged at the point of rm=0 to measure the pressure Pm1. The pressure Pi(r) distribution slightly varies at the point of radius r=0. Thus, the precision of the mounting position of the pressure sensor is not highly required. In another word, even slight deviations occur in the position for mounting the pressure sensor, the result of the pressure distribution calculated by the equation (1) will not be seriously affected. The measured value of the pressure Pm1 is equal to the coefficient C, thereby simplifying the calculation.
ω2 is calculated by the equation (6):
ω2=2·(Pm1−Pm2)/rm22 (6)
The pressure sensor 27b is mounted at the point of rm2=R2 to measure the pressure Pm2.
When the calculus member 28 calculates the ω2 and C, and the pressure distribution of Pi(r) and Po(r) are calculated based on the equation (1) and the equation (2). Area integration of the pressure distribution Pi(r) and Po(r) are performed by the calculus member 28, and the magnitude of the force exerted on the workpiece by the non-contact gripping tool is acquired.
Based on the above description, it is known that the pressure distribution P(r) and the force F can be calculated based on the non-contact gripping tool.
When the workpiece is stationary or moving with uniform linear motion, the force F inferred by the calculus member is equal to the weight of the non-contact gripping tool. That is, the non-contact gripping tool in the working state is capable of measuring the weight of the workpiece. When the weight of the workpiece is acquired, the inertia force causing the acceleration or deceleration in the vertical direction is known, so that the rotational speed of the motor can be properly controlled, and the force F acted on the workpiece can be properly controlled.
Because the force F is calculated, a negative feedback control system of the force can be established by using the calculated value of the force. In another word, a difference between the calculated value and the objective value of the force F is utilized to control the rotational speed of the motor. By controlling the motor, it is proper to control the force F acted on the workpiece. For example, when the non-contact gripping tool moves upwards in the vertical direction, the control of the force F is conducted according to the acceleration of the movement, thereby preventing the workpiece from falling down or contact between the non-contact gripping tool and the workpiece.
The non-contact gripping tool is also capable of producing a compulsion force which is produced when the integration value of the pressure distribution is positive.
Thus, the non-contact gripping tool is capable of accurately control the force exerted on the object, and is a force generating device that exerts the force on the workpiece in the form of non-contact. Besides, the non-contact gripping tool can be used as a non-contact gravimeter or a non-contact force measuring device.
While particular embodiments of the invention have been shown and described, it will be obvious to those skilled in the art that changes and modifications may be made without departing from the invention in its broader aspects, and therefore, the aim in the appended claims is to cover all such changes and modifications as fall within the true spirit and scope of the invention.
Number | Date | Country | Kind |
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2012-041531 | Feb 2012 | JP | national |
This application is a continuation-in-part of International Patent Application No. PCT/CN2013/072032 with an international filing date of Feb. 28, 2013, designating the United States, now pending, and further claims priority benefits to Japanese Patent Application No. 2012-041531 filed Feb. 28, 2012. The contents of all of the aforementioned applications, including any intervening amendments thereto, are incorporated herein by reference. Inquiries from the public to applicants or assignees concerning this document or the related applications should be directed to: Matthias Scholl P. C., Attn.: Dr. Matthias Scholl Esq., 245 First Street, 18th Floor, Cambridge, Mass. 02142.
Number | Date | Country | |
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Parent | PCT/CN2013/072032 | Feb 2013 | US |
Child | 14469556 | US |