Homotopy method for periodic solution of self-excited vibration of a dry-friction system
Homotopy method for periodic solution of self-excited vibration of a dry-friction system
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发表时间：
2011
影响因子：
5
通讯作者：
D. Qian
中科院分区：
文献类型：
--
作者：
D. Qian
研究了块-带模型干摩擦引起的自激振动，分析了系统不动点的稳定性，然后利用同伦方法研究了系统的纯滑移型和粘滑型自激振动，得到了高精度的二阶或三阶解析近似解，揭示了系统的运动特性，由于粘滑极限环是由一个滑移阶段和一个粘着阶段组成的，因此在一个周期内的滑移阶段的近似解可能含有长期项。
Self-excited vibration induced by dry-friction of a block-on-belt model was studied.The stability of fixed point of the system was analyzed.Then the self-excited vibration of the system,including pure slip type and stick-slip type,were investigated by using the homotopy method.The second or the third-order analytic approximate solutions can be obtained with high precision,in which the motion characteristics of the system are revealed,by properly choosing the base function sets,initial guess of the solution and auxiliary linear operator.Due to that the stick-slip limit cycle is composed of one slip stage and one stick stage,the approximate solution of the slip stage during one period might contain secular terms.