The present invention relates, in general, to elevator systems and, in particular, to actively controlling the natural frequency of tension members.
Tension members such as ropes and cables are subject to oscillations. These members can be excited by external forces such as wind. If the frequency of exciting forces matches the natural frequency of the tension member, then the tension member will resonate.
High velocity winds cause buildings to sway back and forth. The frequency of the building sway can match the natural frequency of the elevator causing resonance. In resonance, the amplitude of the oscillations increases unless limited by some form of dampening. This resonance can cause significant damage to both the elevator system and the structure.
The accompanying drawings incorporated in and forming a part of the specification illustrate several aspects of the present invention, and together with the description serve to explain the principles of the invention; it being understood, however, that this invention is not limited to the precise arrangements shown. In the drawings, like reference numerals refer to like elements in the several views. In the drawings:
Two major problems plague high rise elevators with long hoist ropes. These are rope sway and re-leveling due to rope elongation. Rope sway, particularly compensation rope sway, is a major problem in high rise buildings.
The fundamental frequency (also called a natural frequency) of a periodic signal is the inverse of the pitch period length. The pitch period is, in turn, the smallest repeating unit of a signal. The significance of defining the pitch period as the smallest repeating unit can be appreciated by noting that two or more concatenated pitch periods form a repeating pattern in the signal. In mechanical applications a tension member, such as a suspension rope, fixed at one end and having a mass attached to the other, is a single degree of freedom oscillator. Once set into motion, it will oscillate at its natural frequency. For a single degree of freedom oscillator, a system in which the motion can be described by a single coordinate, the natural frequency depends on two system properties; mass and stiffness. Damping is any effect, either deliberately engendered or inherent to a system, that tends to reduce the amplitude of oscillations of an oscillatory system.
Because of the low mass of the compensation sheave, the natural frequency of the compensation ropes is very low and is normally between 0.05 Hz and 1 Hz. The following equation (Equation 1) is used to calculate the natural frequency of compensation ropes in Hz:
where g=32.2 ft/s2, n=vibration mode number, nc=number of ropes, L=length of the rope (in feet; ft), M=mass of the compensating sheave assembly (in pound-mass; lb), and m=mass of the rope per unit length (in pound-mass per feet; lb/ft).
High rise buildings are known to sway during windy conditions. The frequency of the building sway is also generally between 0.05 and 1 Hz. Because the natural frequency of the compensation ropes is very close to the natural frequency of the building, resonance often occurs. Compensation rope resonance can cause the ropes to strike the walls and elevator doors causing damage and frightening passengers.
To avoid this resonance, the frequency of the ropes can be adjusted such that it is different from that of the structure itself. Referring to
The compensation rope (16) may be affixed to the elevator (18) and/or counterweight (20) with a rope tension equalizer such as that described, for example, in U.S. Provisional Patent Application Ser. No. 61/073,911, filed Jun. 19, 2008, which is herein incorporated by reference. Any suitable rope, such as aramid or wire rope, may be used in accordance with versions described herein. In one version, rope having a relatively high natural frequency may be used.
In the version of the elevator system (10) shown in
The servo actuator (12) may be a servomotor, servomechanism, or any suitable automatic device that uses a feedback loop to adjust the performance of a mechanism in modulating tendon control. The actuators could be hydraulic piston and cylinders, ball screw actuators, or any actuator commonly used in the machine tool industry. In particular, the servo actuator (12) may be configured to control the mechanical position of the compensation sheave (14) along a vertical axis by creating mechanical force to urge the compensation sheave (14) in a generally upward or downward direction. Mechanical forces may be achieved with an electric motor, hydraulics, pneumatics, and/or by using magnetic principles.
In one version, the servo actuator (12) operates on the principle of negative feedback, where the natural frequency of the compensation rope (16) is compared to the natural frequency of the building as measured by any suitable transducer or sensor. A controller (not shown) associated with the servo actuator (12) may be provided with an algorithm to calculate the difference between the natural frequency of the compensation rope (16) and the natural frequency of the building. If the difference between these frequencies is within a predetermined range, the controller may instruct the servo actuator (12) to adjust the position of the compensation sheave (14) until the respective frequencies are sufficient different. It will be appreciated that any suitable applications of control theory may be applied to versions described herein.
In one version, to measure the natural frequency of a building, an accelerometer is positioned in the elevator machine room and the output of the accelerometer is twice integrated to produce displacement. During periods of high velocity winds the building will sway. The twice integrated output of the accelerometer may be used to determine the displacement of the machine room from its normal location.
Several control strategies can be applied to affect tendon control such as, for example, exponential stabilization, proportional, integral, and derivative (PID) feedback, and fuzzy logic control. Any suitable control means may be associated with the controller to modulate the natural frequency of the compensation rope (16). Any suitable active vibration control (AVC) techniques involving actuators to generate forces and applying them to the structure in order to reduce its dynamic response may be utilized.
Referring to
It will be appreciated that any suitable modifications to the PID controller may be made including, for example, providing a PID loop with an output deadband to reduce the frequency of activation of the output. In this manner the PID controller will hold its output steady if the change would be small such that it is within the defined deadband range. Such a deadband range may be particularly effective for actively damping tension members where a precise setpoint is not required. The PID controller can be further modified or enhanced through methods such as PID gain scheduling or fuzzy logic.
In addition to rope sway, rope stretch during loading and unloading can cause problems in high rise elevators. Rope stretch is defined by the following equation:
where S=stretch, P=load, L=length of the rope, A=cross sectional area of the rope, E=Young's Modulus, and n=number of ropes.
High rise elevators typically have one or two entrances at or near ground level and then have an express zone with no stops until a local zone is reached at the top of the building. In a 100 story building, the local zone might have 10 stops and the express zone could bypass 80 or 90 floors.
Another high rise application is the shuttle elevator. For example, a shuttle elevator might have only two stops, the ground floor and an observation level on the 100th floor. Such an elevator might travel 450 meters between floors. At the top floor of such an elevator rope stretch is not as significant a problem because the rope length is short. However, at lower landings rope stretch is a problem due to the much longer rope length.
Referring back to
Referring to
Step (102) includes an elevator car (18) traveling from an upper floor to the lowest floor of a building. Step (104) comprises applying a machine brake to hold the elevator car (18) at the lowest floor level. Step (106) comprises opening the door of the elevator and allowing passenger to enter and depart at the lowest landing. Step (108) comprises the elevator car (18) rising as the weight of the car (18) decreases due to departing passengers. Step (110) comprises using a leveling sensor to determine how far the elevator car (18) has drifted away from the level position. Step (112) comprises using a servo actuator to adjust the position of the compensation sheave (14) to account for the drift of the elevator car (18). Step (112) further comprises adjusting the position of the compensation sheave (14) such that the elevator car (18) remains substantially level through the loading and unloading process. It will be appreciated that re-leveling may be performed at any suitable time at any suitable floor.
Use of the elevator system (10) in accordance with the method (100) allows for the elevator car (18) to be re-leveled without the addition of additional ropes. For example, in an installation with 22 mm ropes, seven ropes are generally required for hoisting, but nine may be supplied to control rope stretch. The method (100) may eliminate the need for the additional two ropes needed to help control rope stretch. Additionally, the remaining ropes will be under higher tension and, thus, will have higher frequencies, which may be beneficial is avoiding resonance.
An additional benefit of the method (100) may be the reduction of risk due to unintended motion when the doors are open. It is possible, as a result of a control failure, for the car to move rapidly while passengers are entering or exiting the car because the machine brake is lifted (disengaged) and the machine is powered. The obvious result of this is severe harm or death of the passengers. Method (100) may reduce the likelihood of harm because the re-leveling is accomplished using the actuators whose range of motion is limited.
The position of the compensation rope (16) relative to the building is also a factor in determining whether resonance will occur. Referring back to
It can be shown that the motion u of the active tendon results in parametric excitation which facilitates active control. Treating the compensating rope as a string and taking into account the effect of stretching a simplified single-mode model can be represented by the following equation:
where y represents the dynamic displacement, α and β are known coefficients, and the mean tension is represented by the equation:
The servo actuators (34), (36) may be any suitable servo actuator such as, for example, those described herein. The servo actuators may be associated with a controller (38) configured to adjust the position of the first and second moveable carriages (30), (32) in response to the position and sway of the building. The controller may be configured with a feedback loop that has a predetermined threshold for when the building sway too closely approximates the position and sway of the compensation ropes (16). When such a threshold is crossed, the controller (38) may be configured to adjust the position of the first and second moveable carriages (30), (32). Stabilization can be achieved through negative lateral velocity feedback as indicated in the following equation:
u(t)=−Kwt(L,t) (5)
where u(t)=control input force, K=a positive gain constant, and wt(L,t)=the lateral velocity of the ropes at end x=L.
In one version, the moveable carriage (30) will position the fixed end of the compensation rope (16) where it would be positioned if the building were not swaying. For example, if the twice integrated accelerometer output indicates that the top of the building has moved to a position of +100 mm in the X-axis and +200 mm in the Y-axis, the termination of the compensation rope (16) will be moved to a position of −100 mm in the X direction and −200 mm in the Y direction. The servo actuators 34, 36 may be associated with follow up devices including, for example, position encoders. Digital systems may include rotary encoders or linear encoders that are optical or magnetic.
The versions presented in this disclosure are described by way of example only. Those skilled in the art can develop modifications and variants that do not depart from the spirit and scope of the disclosed cavitation devices and methods. Thus, the scope of the invention should be determined by appended claims and their legal equivalents, rather than by the examples given.
The application claims priority from the disclosure of U.S. Provisional Patent Application Ser. No. 60/972,495, entitled “Method and Apparatus to Minimize Compensation Rope Sway in Elevators,” filed Sep. 14, 2007, U.S. Provisional Patent Application Ser. No. 60/972,506, entitled “Method and Apparatus to Minimize Compensation Rope Sway Through Tendon Control in Elevators,” filed Sep. 14, 2007, and U.S. Provisional Patent Application Ser. No. 61/089,633, entitled “Multi-Purpose Device for High Rise Elevators,” filed Aug. 18, 2008, which are herein incorporated by reference.
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