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分段线性耦合动力系统的周期解及稳定性分析
引用本文:任传波,周继磊.分段线性耦合动力系统的周期解及稳定性分析[J].应用力学学报,2011,28(5).
作者姓名:任传波  周继磊
作者单位:1. 山东理工大学,淄博,255049
2. 大连理工大学,大连,116024
基金项目:山东省自然科学基金(ZR2009FL016)
摘    要:以某货车的主副钢板弹簧悬架为模型建立两自由度分段线性和轮胎非线性耦合动力学方程,采用打靶法求耦舍系统的周期解;将所得结果与近似解析法分析的结果进行比较,并利用Floquet理论判断周期解的稳定性。研究结果表明:当激励频率在等效固有频率附近时系统的周期解不稳定,其Floquet乘数的模大于1,系统振动剧烈,KBM法得到的周期解将产生较大误差;当路面工况突然发生改变或路面工况不变而载重发生较大变化时都有可能发生舅毡跃现象,造成系统的不稳定;周期解的长期时域图和Floquet理论验证了这一现象;

关 键 词:分段线性  耦合  打靶法  Floquet理论  周期解  稳定性

Periodic solution and stability analysis for piecewise coupled system
Ren Chuanbo Zhou Jilei.Periodic solution and stability analysis for piecewise coupled system[J].Chinese Journal of Applied Mechanics,2011,28(5).
Authors:Ren Chuanbo Zhou Jilei
Institution:Ren Chuanbo Zhou Jilei(School of Traffic and Vehicle Engineering,Shandong University of Technology,255049,Zibo,China)
Abstract:According to some truck suspension model consisting of primary and subsidiary springs,a two-degree-of-freedom system with piecewise and smooth nonlinear coupled differential equations are established.Periodic solution for the coupled system is calculated by using Shooting-Method,and its stability was analyzed according to Floquet Theory.When the excitation frequency is around the natural frequency,the periodic solution is unstable,the Floquet Multiplier module is more than 1 and the system vibrates excessiv...
Keywords:piecewise  coupled system  Shooting-Method  Floquet Theory  periodic solution  stability    
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