The present invention relates to a vibration damping device for an elevator which serves to damp lateral vibrations caused in a running elevator car.
In recent years, importance of technologies for damping vibration of an elevator car has been rising in association with speed-up of the elevator resulting from an increase in the number of high-rise buildings. Among such vibration damping devices, there is known one which employs detecting vibrations of a car frame with an aid of an acceleration sensor and applying a force acting reversely to the vibrations to an elevator car through use of an actuator provided in parallel with a spring on a guide portion (for example, refer to Patent Document 1).
Patent Document 1: JP 2001-122555 A
In a conventional vibration damping device constructed as described above, an actuator is provided in parallel with a spring on a guide portion, so vibration damping performance of the vibration damping device is high in a vibration mode, in which a car cage and a car frame vibrate in the same direction, but not quite high in the vibration mode, in which the car cage and the car frame vibrate in opposite directions. In particular, the car frame hardly vibrates and the car cage vibrates relatively strongly in response to an input of a disturbance in a neighborhood of a specific frequency, which is determined by a mass of the elevator car, a rigidity of a vibration-proof member, and the like. Therefore, with the conventional device having an acceleration sensor provided only on the car frame, the vibrations of the car cage can hardly be damped.
Rail displacement excitation resulting from a machining error or an installation error of each guide rail can be mentioned as one of representative disturbances causing lateral vibrations of the elevator car. A frequency included particularly predominantly in this disturbance as rail displacement excitation is empirically known to be expressed as follows, using a length L [m] of each guide rail and a speed [m/s] at which the elevator car is raised/lowered.
f=V/L [Hz] (1)
In each of conventional high-speed elevators, the frequency determined by an expression (1) is close to the frequency in the vibration mode in which the car cage and the car frame vibrate in the same direction, so the conventional vibration damping device can manage to damp lateral vibrations of the elevator car. However, as the speed when the elevator car is raised/lowered further increases, the frequency determined by the expression (1) increases and hence leads to a disturbance of a frequency which can not be damped by the conventional device efficiently. Accordingly, with a view toward speeding up the elevators, a vibration damping device having a wider vibration damping frequency range is desired.
The present invention has been made to solve the above-mentioned problem, and it is therefore an object of the present invention to proved a vibration damping device for an elevator which can manifest sufficient vibration damping performance over a wider frequency range.
A vibration damping device for an elevator according to the present invention includes: a car frame acceleration sensor for detecting a horizontal acceleration of a car frame of an elevator car; a car cage acceleration sensor for detecting a horizontal acceleration of a car cage of the elevator car; an actuator provided in parallel with a spring mounted onto the car frame for urging a guide roller against a guide rail installed in a hoistway, for generating a vibration damping force applied to the elevator car; and a controller for determining a vibration damping force generated by the actuator based on information from the car frame acceleration sensor and information from the car cage acceleration sensor, to thereby control the actuator.
Best modes for carrying out the present invention will be described hereinafter with reference to the drawings.
An elevator car 4 is guided by the guide rails 2 to be raised/lowered within the hoistway 1. Besides, the elevator car 4 has a car frame 5 and a car cage 6 supported inside the car frame 5. The car frame 5 has an upper beam 5a, a lower beam 5b, and a pair of vertical frames 5c and 5d. A plurality of vibration-proof members 7 are interposed between the car cage 6 and the lower beam 5b. That is, the car cage 6 is supported on the lower beam 5b via the vibration-proof members 7. A plurality of anti-vibration rubber pieces 8 for preventing the car cage 6 from tumbling are interposed between lateral faces of the car cage 6 and the vertical frames 5c and 5d, respectively.
Each of roller guide devices 9 for engaging a corresponding one of the guide rails 2 to guide the raising/lowering of the elevator car 4 is mounted at a corresponding one of both ends of the car frame 5 in a width direction thereof on a corresponding one of an upper end thereof and a lower end thereof. Each of the roller guide devices 9 mounted onto the lower beam 5b is provided with a corresponding one of actuators 10 for generating a vibration damping force applied to the elevator car 4.
A car frame acceleration sensor 11 for generating a signal for detecting a horizontal acceleration of the car frame 5 is fitted on the lower beam 5b. A car cage acceleration sensor 12 for generating a signal for detecting a horizontal acceleration of the car cage 6 is fitted on a lower portion of the car cage 6.
A controller 13 for controlling the actuators 10 is installed on the lower beam 5b. The controller 13 calculates a vibration damping force generated by each of the actuators 10 based on information from the car frame acceleration sensor 11 and information from the car cage acceleration sensor 12. More specifically, acceleration signals are transmitted from the acceleration sensors 11 and 12 to the controller 13, and the controller 13 calculates the vibration damping force based on those acceleration signals. The controller 13 converts a result of the calculation into a voltage signal and transmits the voltage signal to each of the actuators 10. The controller 13 is constituted by, for example, a microcomputer. The vibration damping device according to Embodiment 1 of the present invention has the actuators 10, the acceleration sensors 11 and 12, and the controller 13.
A plurality of main ropes 14 for suspending the elevator car 4 within the hoistway 1 are connected to the upper beam 5a. The elevator car 4 is raised/lowered within the hoistway 1 via the main ropes 14, due to a driving force of a drive device (not shown).
An arm 21 is welded to the guide lever 17. The actuator 10 is provided between the guide base 15 and the arm 21 in parallel with the spring 20 to freely apply an urging force that is transmitted from the guide roller 19 to the guide rail 2. Employed as the actuator 10 is, for example, an electromagnetic actuator.
The right side of the expression (2) represents an upper bound of a singular value of Gx1x0. In the case of a one-input/output system (which means a relationship of a single output of x1 to a single input of x0) shown in
In the settings of the actual controller 13, the following expression, which uses a predetermined weighting function WS, is given as a design objective of the controller 13.
∥Ws·Gx1x0∥∞<1 (4)
In an active vibration damping technology described in this embodiment, a state of oscillation arises if things go wrong, so the controller 13 must ensure stability. First of all, there is a problem in that the amplitude of uncertainty in the mass of passengers getting on and off the car cage 6 is large, namely, that the mass of the car cage 6 at the time of full load (when the car cage 6 is packed with passengers) is approximately twice as large as the mass of the car cage 6 at the time of no load (when there is no passenger in the car cage 6). It is thus one of the objects of the controller 13 to ensure stability even in the case where the amplitude of uncertainty in the mass of the car cage 6 is large.
A mass m1 of the car cage 6 is assumed to be expressed by the following expression. It should be noted that δm1 is a perturbation element fulfilling an inequality: |δm1|<1.
m1≡{circumflex over (m)}1+Δm1δm1 (5)
In this case, the mass parameter block 101 of the car cage 6 is replaced in the form of feedback as shown in
∥Gz1w1δm1∥∞<1 (6)
It should be noted that Gz1w1 represents a transfer function from w1 to z1 at the time of detachment of an output end of the perturbation parameter block 101c in
Rubber, which exhibits relatively remarkable nonlinearity, is often used as a material of the vibration-proof member 7. Accordingly, it is one of the objects of the controller 13 to ensure stability for uncertainty in the rigidity parameter of the vibration-proof member 7 made of such a material as well.
A rigidity k1 of the vibration-proof member 7 is assumed to be expressed by the following expression. It should be noted that δk1 is a perturbation element fulfilling an inequality: |δk1|<1.
k1≡{circumflex over (k)}1+Δk1δkk1 (7)
In this case, the rigidity parameter block 104a of the vibration-proof member 7 is replaced as shown in
∥Gz2w2δk1∥∞<1 (8)
It should be noted that Gz2w2 represents a transfer function from w2 to z2 at the time of detachment of an output end of the perturbation parameter block 104e in
In the simplified model shown in
These vibration modes and other vibration modes cannot all be modeled, and there is bound to be a difference between an actual machine and a model used for control design. This difference is generally referred to as a modeling error. It is also one of the important objects of the controller 13 to ensure stability for such a modeling error.
An error Δs2 between a transfer characteristic Pr of the actual machine and a transfer characteristic Pm of the simplified model is assumed to be expressed as Pr=(I+Δs2)Pm. In this case, Δs2 represents an error of a multiplicative nature and hence is generally referred to as a multiplicative error. Broken lines of
According to representation in the form of a block diagram, the multiplicative error Δs2 is inserted as shown in
∥Gz3w3Δs2∥∞<1 (9)
It should be noted that Gz3w3 represents a transfer function from w3 to z3 at the time of detachment of an output end of the modeling error block 123a in
∥Ws2Gz3w3δs2∥∞<1 (10)
As is apparent from the foregoing description, it is one of the design objectives of the controller 13 to fulfill the expression (10).
By the same token, the following expression is derived as a sufficient condition for stability for a modeling error Δs1 in an acceleration detecting region of the car cage 6. It should be noted that Ws1 is a weighting function having the property of covering the modeling error Δs1, that Gz4w4 is a transfer function defined at an acceleration end of the car cage which is defined in the same manner as in
∥Ws1Gz4w4δs1∥∞<1 (11)
The design objective expression (4) is treated in the same manner as the expressions (6), (8), (10), and (11) and hence is replaced with the following expression through the introduction of a fictitious perturbation element δv (|δv|<1).
∥WsGx1x0δv∥∞<1 (12)
To sum up, the specification required of the controller 13 fulfills the design objective expressions (6), (8), (10), (11), and (12) for the perturbations δm1, δk1, δs1, δs2, and δv resulting from uncertainty in the parameters, modeling errors, and the like. For these perturbations, a structured singular value μ is defined as expressed by the following expression.
μΔ(M)≡1/min{
It should be noted that Δ is a matrix having the perturbation elements δm1, δk1, δs1, δs2, and δv as diagonal sections, and that M is a matrix having all the inputs and outputs except the perturbation elements on each of the left sides of the design objective expressions (6), (8), (10), (11), and (12) (e.g., the input and output of Ws2Gz3w3 in the expression (10)). It should also be noted that det represents a determinant. Using the expression (13), a sufficient condition for fulfilling all the design objective expressions (6), (8), (10) (11), and (12) can be expressed by the following expression.
μΔ(M)<1 (14)
That is, by determining the controller 13 in such a manner as to fulfill the expression (14), a stable elevator with weak lateral vibrations can be provided even in the presence of uncertainty in the mass of the car cage, uncertainty in the rigidity of each of the vibration-proof members 7, and a modeling error in a high-frequency range.
In actually designing the controller 13, for reasons of fulfillment of mathematical solvable conditions and the like, other objective expressions may be added as conditions to the design objective expressions (6), (8), (10), (11), and (12). As conditions on uncertainty in the parameters, for example, uncertainty in the mass of the car frame 5, uncertainty in the rigidity of the spring 20, damping uncertainty of each of the vibration-proof members 7, damping uncertainty of the spring 20, and the like may be taken into account in addition to uncertainty in the mass of the car cage 6 and uncertainty in the rigidity of each of the vibration-proof members 7. The same way of thinking as described above holds true in this case as well. This case can be handled within the framework of the structured singular value.
An effect achieved in the case where the present technology is adopted for the model shown in
That is, a vibration damping device for an elevator which exhibits stability and high vibration suppression performance for uncertainty in parameters can be obtained by providing the acceleration sensor 12 on the car cage 6 as well and carrying out the designing based on the structured singular value.
For a while after the start of the elevator car, the excitation frequency of the guide rail disturbance, which is determined by the expression (1), is low, so relatively good vibration damping performance is achieved even through conventional control. However, when the running speed of the elevator car 4 increases, the excitation frequency of the guide rail disturbance becomes high, so vibrations cannot be sufficiently damped through conventional control. On the other hand, excellent vibration damping performance can be continuously achieved from the start of running of the elevator car 4 to the stop of running thereof through the control according to Embodiment 1 of the present invention.
Next, Embodiment 2 of the present invention will be described. As described in Embodiment 1 of the present invention, there is a vibration mode that cannot be modeled in a high-frequency range in an actual elevator. Therefore, sufficient improvements in vibration suppression performance cannot be made with ease in a high-frequency range of 10 Hz or higher. On the other hand, a vibration mode in which the spring 20 or each of the vibration-proof members 7 is at the peaks of vibrations is desired to be damped positively.
Incidentally, the rigidity of the spring 20 or each of the vibration-proof members 7 is determined from the standpoint of not only the damping of vibrations but also a support mechanism for supporting the car frame 5 and the car cage 6, and hence cannot be lowered drastically. In particular, the vibration-proof members 7 need to support the car cage 6 in the vertical direction when passengers get on and off the car cage 6, and thus require a certain level of rigidity in the vertical direction.
In general, in the case where, for example, rubber is used as a material of the vibration-proof members 7, an increase in the rigidity of each of the vibration-proof members 7 in the vertical direction leads to an increase in the rigidity thereof in the horizontal direction as well. As a result, the frequency in the mode in which each of the vibration-proof members 7 is at the peak of vibration becomes high and close to a frequency range where there is a modeling error. In such a state, high vibration suppression performance cannot be achieved with ease even when the acceleration sensor 12 is provided on the car cage 6 to perform the control according to Embodiment 1 of the present invention.
Thus, in Embodiment 2 of the present invention, as shown in
In each of the foregoing examples, only the damping of lateral vibrations of the elevator car 4 is described. However, longitudinal vibrations of the elevator car 4 can also be damped in the same manner.
Further, in each of the foregoing examples, the actuators 10 are provided only on the lower portion of the car frame 5. However, the actuators 10 may be provided on the roller guide devices 9 on the upper and the lower portions of the car frame 5, respectively, or only on the roller guide devices 9 on the upper portion of the car frame 5, respectively.
Furthermore, in Embodiment 2 of the present invention, the rubber portions 41 and the steel sheet portions 42 are combined to be used as a material of each of the vibration-proof members 7. However, the material of each of the vibration-proof members 7 is not limited to rubber and steel sheets. Other two or more kinds of the materials that are different in rigidity from one another may be suitably selected and laminated such that each of the vibration-proof members 7 becomes smaller in rigidity in the horizontal direction than in the vertical direction.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/JP2005/016591 | 9/9/2005 | WO | 00 | 12/17/2007 |
Publishing Document | Publishing Date | Country | Kind |
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WO2007/029331 | 3/15/2007 | WO | A |
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