含分数阶微分的二自由度悬架系统动力学分析

摘要

研究了含分数阶项的二自由度悬架系统，利用改进的平均法、拉氏变换法、谐波平衡法和复频域法得到了简谐激励下系统响应的解析解，比较了解析解和数值解，二者逼近的精度很高，证明了解析解的准确性。分析了分数阶参数对悬架系统的动力学行为的影响，发现含分数阶微分悬架系统响应稳态幅值能够大幅降低，其动力学性能得到极大提高。%The passive suspension system with fractional-order derivative is studied.Analytic solutions of system under harmonic excitation eventually are obtained by improved averaging method, laplace-transform meth-od, harmonic balance method and complex frequency-domain method.The analytic solutions prove to be accu-rate compared with numerical solutions.Effect of fractional-order parameters on dynamical behavior is analyzed. The research indicates that, the steady-state amplitude of passive suspension system with fractional-order deriva-tive could be significantly reduced and dynamical behavior can be greatly improved.