Vibration response characteristics of piecewise nonlinear suspension with fractional order under variable load

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (3) : 26-34.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Vibration response characteristics of piecewise nonlinear suspension with fractional order under variable load

WANG Cuiyan1, SHI Shaoxuan2, CHEN Enli*1

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Abstract

A fractional piecewise nonlinear suspension was proposed to address the low-frequency vibration isolation issue for heavy-duty vehicles against various payloads. Variable pitch springs were used to produce nonlinear restoring force in the suspension and were combined with linear springs to construct a linear-nonlinear coupled spring construction. Caputo fractional-order model was used to represent the viscoelastic characteristics of the damper. The vibration transmissibility function of the suspension was established by the average method. The stability of the equilibrium point and the stability condition of the steady solution were analyzed. The influence of the initial gap and the nonlinear stiffness on the vibration isolation performance was analyzed under different payloads. A practical suspension model was fabricated to validate the correctness of the theoretical results, utilizing vibration sweep-frequency experimentations. The results show that the proposed suspension exhibits several reduction regions of the transmissibility with different initial gaps and nonlinear stiffness parameters; the reduction of the initial gap and the increase of the nonlinear stiffness can both increase the number of the reduction region. The vibration experiments show that the reasonable adjustment of the initial gap and nonlinear stiffness can situate the response property of the suspension in the reduction region, reducing the vibration transmissibility and improving the vibration isolation performance of the suspension. This study has a considerable significance in improving the passive suspension structure of heavy-duty vehicles and modifying the running stability and road friendliness.

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WANG Cuiyan1, SHI Shaoxuan2, CHEN Enli1. Vibration response characteristics of piecewise nonlinear suspension with fractional order under variable load[J]. Journal of Vibration and Shock, 2025, 44(3): 26-34

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