Semiactive Control of Hunting Stability in Rail Vehicles

Author(s):  
Mehdi Ahmadian ◽  
Anant Mohan

This paper discusses a methodology for improving hunting behavior in rail vehicles by semiactive control of suspension elements. This methodology focuses on increasing the critical velocity of hunting beyond the operational speed range. Earlier studies have shown that the critical velocity is most sensitive to the primary longitudinal stiffness, KPX. A higher primary longitudinal stiffness can significantly increase the critical hunting velocity of the rail vehicle. But, having high values of KPX is largely undesirable, since that would make the wheelset suspension very rigid. Any disturbance to the wheels due to imperfections in the rails will result in a forcing function in the equations of motion, thereby facilitating the transfer of the recurrent wheelset oscillations to the car body, leading to a poorer ride quality. As an alternative to using sustained high values of KPX throughout the ride, a semiactive approach has been attempted, whereby, a nominal value of KPX was assumed for the majority of the simulation time. On a need basis, this value was made to increase for limited portions of the oscillatory cycle. As an initial approach, the value of KPX was made to be a function of the wheelset lateral excursion. A moderate value of KPX was assumed for the duration of time that the wheelset lateral excursions were below a preset threshold value. Whenever the lateral displacement exceeded this threshold limit, the value of KPX was increased to 10 times the original value. It was thought that this approach would raise the critical hunting velocity, and drive the oscillations down towards the center. But simulation showed that this strategy barely improved the critical velocity. A subsequent approach was to make the value of KPX a function of the wheelset yaw displacement instead. This approach yielded a significant improvement in the critical velocity.

1989 ◽  
Vol 111 (3) ◽  
pp. 521-527 ◽  
Author(s):  
Y. A. Khulief ◽  
S. P. Sun

Control of vibrations in lightweight road vehicle systems has placed increasingly higher demands on the technology required to accurately model and predict dynamic response of a vehicle system. In this paper, a method for modeling vehicles as systems of interconnected rigid and flexible bodies is presented. Finite element and component mode substitution techniques are employed to characterize elastic motions of flexible bodies in terms of minimal set of modal coordinates. Equations of motion and constraints of coupled system are written in terms of a set of reference and modal coordinates. Semiactive control techniques are then used for suppressing vibrations at some desired points, in the chassis, located away from suspension attachments. Remote measurement of local displacements and velocities at these points are used to implement a corrective control action into suspension dampers of adjustable damping characteristics. This method is applied to a planar vehicle model with flexible chassis traversing a bump. Numerical results demonstrate validity of the developed model and effectiveness of semiactive control in improving ride quality characteristics.


1995 ◽  
Vol 7 (4) ◽  
pp. 324-328
Author(s):  
Juraj Grenčík ◽  
◽  
Yoshihiro Suda ◽  

In this paper, dynamic behavior of rail vehicles during curve negotiation when traction or brake torque is applied has been studied. Vehicles with conventional symmetric trucks are compared to those with the recently proposed trucks having longitudinally unsymmetric suspension characteristics. Computer simulations using full car body models considering non-linear characteristics of the contact force between wheel and rail are performed. Wheel lateral displacement and wheel attack angle are calculated to describe curving performance under different speed, curve radius, and vehicle load. Under the same curve conditions, wheel lateral displacement is considerably smaller and wheel attack angle is almost zero within wide range of torque, while growing from higher value in case of conventional truck design. Consequently, enhanced curving performance of new unsymmetric trucks even under acting traction/braking torque is proved.


1999 ◽  
Author(s):  
S. Park ◽  
J. W. Lee ◽  
Y. Youm ◽  
W. K. Chung

Abstract In this paper, the mathematical model of a Bernoulli-Euler cantilever beam fixed on a moving cart and carrying an intermediate lumped mass is derived. The equations of motion of the beam-mass-cart system is analyzed utilizing unconstrained modal analysis, and a unified frequency equation which can be generally applied to this kind of system is obtained. The change of natural frequencies and mode shapes with respect to the change of the mass ratios of the beam, the lumped mass and the cart and to the position of the lumped mass is investigated. The open-loop responses of the system by arbitrary forcing function are also obtained through numerical simulations.


1973 ◽  
Vol 95 (1) ◽  
pp. 28-35 ◽  
Author(s):  
E. Harry Law ◽  
R. S. Brand

The nonlinear equations of motion for a railway vehicle wheelset having curved wheel profiles and wheel-flange/rail contact are presented. The dependence of axle roll and vertical displacement on lateral displacement and yaw is formulated by two holonomic constraint equations. The method of Krylov-Bogoliubov is used to derive expressions for the amplitudes of stationary oscillations. A perturbation analysis is then used to derive conditions for the stability characteristics of the stationary oscillations. The expressions for the amplitude and the stability conditions are shown to have a simple geometrical interpretation which facilitates the evaluation of the effects of design parameters on the motion. It is shown that flange clearance and the nonlinear variation of axle roll with lateral displacement significantly influence the motion of the wheelset. Stationary oscillations may occur at forward speeds both below and above the critical speed at which a linear analysis predicts the onset of instability.


1987 ◽  
Vol 109 (3) ◽  
pp. 210-217 ◽  
Author(s):  
Farid M. L. Amirouche

A computer-automated approach for studying the human body vibration is presented. This includes vertical, horizontal, and torsional vibration. The procedure used is based on Finite Segment Modeling (FSM) of the human body, thus treating it as a mechanical structure. Kane’s equations as developed by Huston et al. are used to formulate the governing equations of motion. The connective tissues are modeled by springs and dampers. In addition, the paper presents the transient response of different parts of the body due to a sinusoidal forcing function as well as an impulse function applied to the lower torso in the vertical direction.


2003 ◽  
Author(s):  
Harold Harrison ◽  
Todd Snyder ◽  
William GeMeiner

A hunting truck detector was developed to identify that small portion of the rail car population that exhibits hunting behavior under normal operating speeds. An algorithm called Hunting Index (HI) was developed to produce a reliable descriptor of hunting behavior without the benefit (and expense) of a fully instrumented measuring zone. A correlation study was performed to relate very low values of the Hunting Index with ride quality to help screen rail cars for their usefulness as carriers of ride sensitive cargo.


2008 ◽  
Vol 75 (4) ◽  
Author(s):  
Guilhem Michon ◽  
Lionel Manin ◽  
Didier Remond ◽  
Regis Dufour ◽  
Robert G. Parker

This paper experimentally investigates the parametric instability of an industrial axially moving belt subjected to multifrequency excitation. Based on the equations of motion, an analytical perturbation analysis is achieved to identify instabilities. The second part deals with an experimental setup that subjects a moving belt to multifrequency parametric excitation. A data acquisition technique using optical encoders and based on the angular sampling method is used with success for the first time on a nonsynchronous belt transmission. Transmission error between pulleys, pulley/belt slip, and tension fluctuation are deduced from pulley rotation angle measurements. Experimental results validate the theoretical analysis. Of particular note is that the instability regions are shifted to lower frequencies than the classical ones due to the multifrequency excitation. This experiment also demonstrates nonuniform belt characteristics (longitudinal stiffness and friction coefficient) along the belt length that are unexpected sources of excitation. These variations are shown to be sources of parametric instability.


Author(s):  
Amir Lotfi-Gaskarimahalle ◽  
Christopher D. Rahn

This paper investigates semi-active vibration control using Fluidic Flexible Matrix Composites (F2MC) as variable stiffness components of flexible structures. The stiffness of F2MC tubes can be dynamically switched from soft to stiff by opening and closing an on/off valve. Fiber reinforcement of the F2MC tube changes the internal volume when externally loaded. With an open valve, the fluid in the tube is free to move in or out of the tube, so the stiffness is low. When the valve is closed, the high bulk modulus fluid resists volume change and produces high stiffness. The equations of motion of an F2MC-mass system is derived using a 3D elasticity model and the energy method. The stability of the unforced dynamic system is proven using a Lyapunov approach. To capture the important system parameters, nondimensional full order and reduced order models are developed. A Zero Vibration (ZV) state switch technique is introduced that suppresses vibration in finite time, and is compared to conventional Skyhook semiactive control. The ITAE performance of the controllers is optimized by adjusting the open valve flow coefficient. Simulation results show that the optimal ZV controller outperforms the optimal Skyhook controller by 13% and 60% for impulse and step response, respectively.


2013 ◽  
Vol 321-324 ◽  
pp. 27-32
Author(s):  
Long Fa Wu ◽  
Hao Dong

The track measuring beam is installed in the bogie frame to measure the geometry parameters of the rail. In this paper, the dynamic model of the inspection car was established in order to compare the dynamic properties of the vehicle with and without track measuring beam installation. The motion stability, ride quality, vibration acceleration and curve negotiation performance of the vehicle after the track measuring beam installed were investigated. The results show that after the track measuring beam installation the critical velocity of the inspection car decreases, but the running at speed of 120km/h can be guaranteed. The track measuring beam has no influence on the ride quality and curve negotiation performance and the effect of it on vibration mode is little.


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