Periodic solution finder for an impact oscillator with a drift
Periodic solution finder for an impact oscillator with a drift
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DOI：
10.1016/s0022-460x(03)00193-7
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发表时间：
2003-10-30
影响因子：
4.7
通讯作者：
Wiercigroch, M
中科院分区：
文献类型：
--
作者：
Pavlovskaia, E;Wiercigroch, M
本文提出了一种求解带有漂移的冲击振子新模型周期解的有效半解析方法，该方法解释了振动冲击系统的进程机制，可用于优化振动冲击系统的性能。该方法构造一个周期响应，假设每个周期由一系列不同的阶段组成，这些阶段的解析解是已知的。例如，一个周期可以由以下顺序阶段组成：(1)有进展的接触，（11）无进展的接触，（111）无接触和（IV）无进展的接触。利用这一信息，将一个由四个分段线性一阶微分方程组成的方程组转化为一个非线性代数方程组。该方法允许人们准确地预测得到最佳递进率的控制参数范围。2003爱思唯尔科学有限公司版权所有。
In this paper, an efficient semi-analytical method is developed to compute periodic solutions for a new model of an impact oscillator with a drift, which explains the progression mechanism in vibro-impact systems and can be used to optimize their performance. The method constructs a periodic response assuming that each period is comprised of a sequence of distinct phases for which analytical solutions are known. For example, a period may consist of the following sequential phases: (1) contact with progression, (11) contact without progression, (111) no contact and (IV) contact without progression. Using this information, a system of four piecewise linear first order differential equations is transformed to a system of non-linear algebraic equations. The method allows one to accurately predict a range of control parameters for which the best progression rates are obtained. (C) 2003 Elsevier Science Ltd. All rights reserved.