Abstract
The analysis of random vibration of a vehicle with hysteretic nonlinear suspension under road roughness excitation is a fundamental part of evaluation of a vehicle’s dynamic features and design of its active suspension system. The effective analysis method of random vibration of a vehicle with hysteretic suspension springs is presented based on the pseudoexcitation method and the equivalent linearisation technique. A stable and efficient iteration scheme is constructed to obtain the equivalent linearised system of the original nonlinear vehicle system. The power spectral density of the vehicle responses (vertical body acceleration, suspension working space and dynamic tyre load) at different speeds and with different nonlinear levels of hysteretic suspension springs are analysed, respectively, by the proposed method. It is concluded that hysteretic nonlinear suspensions influence the vehicle dynamic characteristic significantly; the frequency-weighted root mean square values at the front and rear suspensions and the vehicle’s centre of gravity are reduced greatly with increasing the nonlinear levels of hysteretic suspension springs, resulting in better ride comfort of the vehicle.
Highlights
In recent years, vehicle vibration induced by a rough road profile, including its measurement and elimination, has received significant interest.[1,2,3] Random vibration is generated when vehicle traverses a rough road, which affects driving safety and ride comfort and has a great influence on integrity of components and service life of a vehicle
When the equivalent linearisation technique is used to analyse the random vibration of a vehicle with nonlinear hysteretic suspension, the Lyapunov differential equations always need to be solved after linearisation, and the high-order covariance matrices of displacement, velocity and hysteretic displacement of each degree of freedom (DOF) must be computed, resulting in a more complicated computing process and a higher computational expenses consumed in the linearisation iteration procedures
Numerical results show that random vibration analysis of the vehicle with hysteretic nonlinear elements can be carried out effectively using the pseudoexcitation method (PEM) and the equivalent linearisation technique, and hysteretic nonlinear suspension elements influence the vehicle’s dynamic characteristics significantly with the frequency-weighted root mean square (RMS) values of the vehicle body reduced greatly, resulting in better ride comfort of the vehicle
Summary
Vehicle vibration induced by a rough road profile, including its measurement and elimination, has received significant interest.[1,2,3] Random vibration is generated when vehicle traverses a rough road, which affects driving safety and ride comfort and has a great influence on integrity of components and service life of a vehicle. When the equivalent linearisation technique is used to analyse the random vibration of a vehicle with nonlinear hysteretic suspension, the Lyapunov differential equations always need to be solved after linearisation, and the high-order covariance matrices of displacement, velocity and hysteretic displacement of each degree of freedom (DOF) must be computed, resulting in a more complicated computing process and a higher computational expenses consumed in the linearisation iteration procedures. Numerical results show that random vibration analysis of the vehicle with hysteretic nonlinear elements can be carried out effectively using the PEM and the equivalent linearisation technique, and hysteretic nonlinear suspension elements influence the vehicle’s dynamic characteristics significantly with the frequency-weighted root mean square (RMS) values of the vehicle body reduced greatly, resulting in better ride comfort of the vehicle. The dynamic equations of a vehicle can be established according to linear multi-body dynamic theory as the hysteretic suspension spring modelled by the Bouc–Wen model are linearised from equations (4) and (5)
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