Abstract
Hydropneumatic springs are the elastic components of a vehicle’s suspension. As the nonlinear characteristic of the spring is difficult to express accurately, the statistical linearization method is introduced to analyze the dynamic response of the hydropneumatic spring. The nonlinear stiffness of a hydropneumatic spring is approximated by a quadratic polynomial at the static equilibrium position. Parameters of the hydropneumatic spring, road roughness and vehicle velocity are provided and analytical functions for equivalent stiffness and the dynamic equilibrium position are worked out in this paper. The analytical functions are validated through numerical simulation and are shown to be more accurate than those validated by existing methods. The method proposed here could be used in the design and analysis of hydropneumatic suspensions in future.
Highlights
Hydropneumatic suspensions use pressed gas as the elastic medium, which exhibits the characteristic of nonlinear gradient stiffness
As its nonlinear characteristics restrict the application of linear system analysis, nonlinear modeling and simulation are adopted to analyse this suspension by MA, et al [4], FENG, et al [5] and useful conclusions are reached
Vehicle suspensions can be modelled by a MDOF nonlinear vibration system with wide-band random excitation, suitable for application of exact feedback linearization or statistical linearization [6,7,8]
Summary
Hydropneumatic suspensions use pressed gas as the elastic medium, which exhibits the characteristic of nonlinear gradient stiffness. Vehicle suspensions can be modelled by a MDOF (multiple degree of freedom) nonlinear vibration system with wide-band random excitation, suitable for application of exact feedback linearization or statistical linearization [6,7,8]. It requires that all states be measurable and robustness cannot be guaranteed, so the method of statistical linearization of the nonlinear characteristic is still required. Based on the references mentioned above, a new method is proposed in this paper, which considers random road roughness as the excitation and a quadratic polynomial is introduced to take the asymmetry of the stiffness of a hydropneumatic suspension into consideration.
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