Elevator Rope Research Articles

403 エレベータ・ロープの横振動解析 : 地震時の揺れ検出のための簡易計算法

403 エレベータ・ロープの横振動解析 : 地震時の揺れ検出のための簡易計算法

Vibration Analysis of Elevator Rope (Comparison Between Experimental Results and Calculated Results)

An elevator rope for a high-rise building is excited forcibly by the displacement of the building caused by earthquakes and wind forces. In this paper, experiments of free vibration and forced vibration of the rope are presented for obtaining the natural frequency and the damping coefficient of the rope. And experiments of forced vibration of the rope whose length varies with time due to the up-and-down movement of the cage are presented. Finite difference analyses of the rope vibration are also performed by considering the time-varying length of the rope based on the assumption that the movement velocity is constant. The calculated results of the finite difference analyses are in fairly good agreement with that of the experimental results.

1104 エレベータ・ロープの横振動解析 : 地震時の揺れ検出のための簡易計算法(OS2-1 交通・物流システムのダイナミクス(鉄道・エレベータ・荷役機械),OS2 交通・物流システムのダイナミクス,オーガナイズド・セッション)

An elevator rope for a high-rise building is excited forcibly by the displacement of the building caused by earthquakes and wind forces. In this paper, simplified calculation method, single degree of freedom (SDOF) system, for estimating rope deflection during earthquake is presented by using building's acceleration. Finite difference analyses of rope vibration are also performed to verify the validity of this simplified calculation method. The calculated results of this simplified calculation method is in fairly good agreement with that of the finite difference analyses.

Forced Vibration Analysis of an Elevator Rope With Both Ends Moving

An elevator rope for a high-rise building is forcibly excited by the displacement of the building caused by wind forces. Regarding the rope, there are two boundary conditions. In the first case, one end moves with time and the other end is fixed, while in the second case, both ends move with time. A theoretical solution to the forced vibration of a rope where one end is moving has been already obtained. In this paper, a theoretical solution to the forced vibration of a rope where both ends are moving is presented, based on the assumption that rope tension and movement velocity are constant, and that the damping coefficient of the rope is zero or small. The virtual sources of waves, which can be assigned to reflecting waves, are used to obtain the theoretical solution. Finite difference analyses of rope vibration are also performed to verify the validity of the theoretical solution. The calculated results of the finite difference analyses are in fairly good agreement with that of the theoretical solution. The effects of the changing rate of rope length and the damping factor on the maximum rope displacement are quantitatively clarified.

Vibration Analysis of Elevator Rope (Forced Vibration of Rope with Time-Varying Length)

Elevator rope for high-rise buildings is forcibly excited by the displacement of the building induced by wind force. An exact solution to the forced vibration of a rope with time-varying length is presented, on the assumption that the rope tension and the moving velocity are constant, and that the damping coefficient of the rope is zero. Virtual sources of waves that can be assigned to reflecting waves are used for obtaining the exact solution. Finite difference analyses of rope vibration are also performed to verify the validity of this exact solution. The calculated results of the finite difference analyses are in fairly good agreement with the calculated results of the exact solution.

Nonstationary Robust Control for Vibration of Elevator Rope

Nonstationary Robust Control for Vibration of Elevator Rope

127 エレベータ・ロープの横振動についての実験的研究

An elevator rope for a high-rise building is excited forcibly by the displacement of the building caused by earthquakes and wind forces. In this paper, experiments of free vibration and forced vibration of rope are presented for obtaining the natural frequency and the damping coefficient of rope. And experiments of forced vibration of rope whose length varies with time due to the up-and-down movement of the cage are presented. Finite difference analyses of rope vibration are also performed by considering the time-varying length of the rope; based on the assumption that the movement velocity is constant. The calculated results of the finite difference analyses are in fairly good agreement with that of the experimental results.

102 長周期地震動におけるエレベーターロープの挙動解析

The elevator rope increases its lateral vibration during a long-period ground motion in a certain critical condition. We need to evaluate such rope lateral behavior during an earthquake and apply a proper vibration suppression method, which can protect the elevator devices from any damages. In this paper. the rope lateral motion caused by a long-period ground motion is clarified in several simulated seismic waves and building conditions. We evaluate the methods to suppress the rope lateral motion caused by the resonance with the building sway motion. Then we propose a new emergency operation system for a long-period ground motion.

Vibration Analysis of Elevator Rope with Vibration Suppressor

The lateral vibration of elevator ropes for high-rise building, which is excited forcibly by the displacements of the building induced by wind forces, is numerically analyzed, and a new practical method for reducing the rope vibration by using vibration suppressor is proposed for relaxing the restricted elevator operation. Finite difference analyses of the rope vibration with/without vibration suppressor are performed. The advantage of using the vibration suppressors for reducing the rope lateral vibration is demonstrated through the numerical calculation : The resonant position of the rope with vibration suppressor is greatly depends on the position of the vibration suppressor. When the vibration suppressors are uniformly installed along full length of the rope, the maximum rope deflection becomes smaller as the number of the vibration suppressor is made greater. It is also presented that the calculated results of reaction force from vibration suppressor are in fairly good agreement with experimental ones.

426 永久磁石の吸引力を利用したロープの非接触制振 : モード解析と伝達行列解析の対比

426 永久磁石の吸引力を利用したロープの非接触制振 : モード解析と伝達行列解析の対比

101 エレベータ・ロープの横振動解析 : ロープの自由振動および強制振動

An elevator rope for a high-rise building is excited forcibly by the displacement of the building caused by wind forces and earthquakes. In this paper, experiments of free vibration and forced vibration of rope are presented for obtaining the natural frequency and the damping coefficient of rope. And experiments of forced vibration of rope whose length varies with time due to the up-and-down movement of the cage are presented. Finite difference analyses of rope vibration are also performed by considering the time-varying length of the rope; based on the assumption that the movement velocity is constant. The calculated results of the finite difference analyses are in fairly good agreement with that of the experimental results.

Application of Nonstationary Sliding Mode Control to Suppression of Transverse Vibration of Elevator Rope Using Input Device with Gaps

Transverse vibrations of ropes spanning a high-speed elevator are induced by resonance when a building sways because of an earthquake or wind force. Hence, an effective solution is demanded. In this study, we undertake to suppress the vibration of an elevator rope by using an input device placed in the vicinity of the upper boundary of the rope. This input device has gaps between an actuator and the rope to prevent the progression of their abrasion. A nonstationary control method is effective for the control of a time-varying system with which an elevator rope and a crane wire are categorized. In addition, a sliding mode controller is robust toward nonlinearity at the position where input is introduced. Thus, in this paper, we present a method of vibration control for the elevator rope, which is based on the nonstationary sliding mode control method using the input device with gaps. The effectiveness and robustness of the proposed controller are examined by numerical calculation that simulates input saturation, stroke limitation, gap-width expansion, and varying parameters, in the presence of model errors of the elevator rope. The results indicate effective vibration suppression and high robustness in the above cases except for the case of varying parameters.

The Modeling of Longitudinal and Lateral Vibrations on the Elevator Rope

In the vibration analyses for the elevator systems, especially in high-rise buildings, the elevator rope is assumed as an elastic model. There are two types of vibrations in the rope. One is the longitudinal vibration, and the other is the lateral one. Accordingly it is desirable to consider longitudinal and lateral vibrations at the same time. However many conventional works have been carried out with the longitudinal and lateral vibrations separately. This paper proposes a wave transmission model for the behavior of the lateral vibration of rope coupled with the longitudinal vibration. We explain the process of constitution for the analytical model. Furthermore, the validity of proposed model will be shown through some experimental results.

Vibration Analysis of Elevator Rope (3rd Report, Forced Vibration of Rope Whose Both Ends are Moving)

Elevator rope for high-rise building is excited forcibly by the displacements of the building induced by wind forces. Seeing from the rope, there are two types of ropes. In the first case, its one end moves with time and the other end is fixed. And in the 2nd case, both ends move with time. The exact solution of forced vibration of the rope whose and end is moving has been already obtained. In this paper, the exact solution of forced vibration of the rope whose both ends are moving is presented, on the assumption that the rope tension and the moving velocity is constant, and damping coefficient of the rope is zero. Virtual sources of waves which can be assigned to reflecting waves are used for obtaining the exact solution. Finite difference analyses of the rope vibration are also performed to verify the validity of this exact solution. The calculated results of finite difference analyses are in fairly good agreement with the calculated results of the exact solution.

Vibration Analysis of Elevator Rope (2nd Report, Forced Vibration of Rope with Damping)

Elevator rope for high-rise building is excited forcibly by the displacements of the building induced by wind forces. The approximate solution of forced vibration of a rope with time-varying length and having a linear damping is presented, on the assumption that the rope tension and the moving velocity is constant, and damping coefficient of the rope is small. Virtual sources of waves which can be assigned to reflecting waves are used for obtaining the approximate solution. Finite difference analyses of the rope vibration are also performed to verify the validity of this approximate solution. The calculated results of finite difference analyses are in fairly good agreement with the calculated results of the approximate solution. The effect of moving velocity and damping factor on the maximum rope deflection are quantitatively made clear.

101 エレベータ・ロープの横振動解析 : 両端が移動するロープの強制振動(OS1-1,OS1 振動解析・モデリング・制振)

101 エレベータ・ロープの横振動解析 : 両端が移動するロープの強制振動(OS1-1,OS1 振動解析・モデリング・制振)

426 エレベータ・ロープの横振動解析 : 一端または両端が移動するロープの強制振動

426 エレベータ・ロープの横振動解析 : 一端または両端が移動するロープの強制振動

508 エレベータロープ横振動のセミアクティブ振動制御

This paper presents the vibration control, using passive or semi-active dampers, for the transverse vibration of an elevator rope. The dampers are located in the vicinity of the top end of rope and the vibration of rope is reduced by impact with the dampers. The adequate gap width, location, and damping coefficient of the damping device are calculated for the case in which the arbitrary constant length of the rope is allocated and the building is subjected to various earthquakes. Further, the performance of the semi-active vibration control method for the suppression of the vibration of rope is verified; consequently, the usefulness for the proposed method is shown.

Application of Nonstationary Sliding Mode Control to Suppression of Transverse Virbration of Elevator Rope Using Input Device with Gaps

The transverse vibrations of ropes of a high speed elevator are caused by a resonance with sway of building which is subjected to an earthquake or big wind, hence, an effective solution is demanded. In this research, it is performed to suppress the vibration of elevator rope by using a control device which is located near the upper boundary of rope. The control device has gaps between an actuator and the rope because of preventing abrasions of rope. Furthermore, the nonstationary sliding mode control is effective for the control of a time varying system such as elevator ropes and crane wires and robust for the nonlinearity of a control device. Therefore, this paper presents the vibration control for the elevator rope based on the nonstationary sliding mode control method by using control device with the gaps. The control effectiveness in the case of input saturation, stroke limitation or gap expansion and the robustness of the proposed method in the case of parameter variation and model errors are demonstrated by the numerical calculation. Consequently, the numerical results indicate that the performance of the proposed method is remarkable.

Vibration Analysis of Elevator Rope(Forced Vibration of Rope with Time-Varying Length)

Elevator rope for high-rise building is excited forcibly by the displacements of the building induced by wind forces. The exact solution of forced vibration of a rope with time-varying length is presented, on the assumption that the rope tension and the moving velocity is constant, and damping coefficient of the rope is zero. Virtual sources of waves which can be assigned to reflecting waves are used for obtaining the exact solution. Finite difference analyses of the rope vibration are also performed to verify the validity of this exact solution. The calculated results of finite difference analyses are in fairly good agreement with the calculated results of the exact solution.