Abstract
The motion differential equation of hydro-pneumatic suspension is established to describe the vibration characteristics for a certain type of construction vehicle. The output force was deduced from the suspension parameters. Based on the suspension characteristics of a multi-phase medium, fractional calculus theory was introduced, and its fractional Bagley–Torvik equation was formed. The numerical computation by a low-pass filter of the Oustaloup algorithm was performed. The numerical solution of a nonlinear fractional equation was obtained to investigate the vibration characteristics of the suspension fractional system. Through the building of an equal-ratio test platform and simulation model, the fractional- integer-order model simulation and experimental data were compared. When the fractional order is 0.9, it better describes the motion characteristics of suspension system. The experiments show that the experimental data can fit the fractional-order system model well, and thereby prove the model on a hydro-pneumatic suspension system.
Highlights
Hydro-pneumatic suspension has good nonlinear elastic characteristics and damping characteristics, and is widely used in mining dump trucks
The research by Huang Xiaxu et al [10] showed that the effect of gas dissolution and the compressibility of oil cannot be ignored in the process of hydro-pneumatic suspension design and research
This study proposes that according to the mechanical characteristics of the multiphase medium of the hydro-pneumatic suspension, the analyzed equivalent viscoelasticity of the hydro-pneumatic suspension, the vibration model of a certain type of engineering of vehicle hydro-pneumatic suspension is established, and the fractional-order equation is used to numerically solve the vibration characteristics of the suspension under this model
Summary
Hydro-pneumatic suspension has good nonlinear elastic characteristics and damping characteristics, and is widely used in mining dump trucks. The mathematical model of the hydro-pneumatic suspension established by the above research takes into account the nonlinear characteristics of the gas and the seal. This study proposes that according to the mechanical characteristics of the multiphase medium of the hydro-pneumatic suspension, the analyzed equivalent viscoelasticity of the hydro-pneumatic suspension, the vibration model of a certain type of engineering of vehicle hydro-pneumatic suspension is established, and the fractional-order equation is used to numerically solve the vibration characteristics of the suspension under this model. The entire hydro-pneumatic suspension system is equivalent to a viscoelastic system for research, and a fractional-order model is established to describe the damping loss term to analyze the basic hydro-pneumatic suspension system. A proportional test bench is designed to simulate the working state of the hydro-pneumatic suspension during the actual operation of the vehicle. The fractional-order and integer-order simulation and experimental results are compared to verify the correctness of the fractional-order model
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