含单面限位局部非线性结构的主频响应分析

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摘要对于含单面限位的大型局部非线性结构，其主频响应特性往往与限位的位置、大小和数量密切相关。研究含单面限位局部非线性结构的主频响应分析方法，采用非线性控制中的描述函数来表征单面限位非线性的频域特性；通过逆阵更新方法进行降维处理，极大地提高了频域响应的计算效率。搭建含单面限位约束的实验梁结构，在不同激励幅值和间隙大小情况下，测量约束梁结构的频响曲线。数值仿真与实验结果获得了较好的一致性，验证了所提出的局部非线性结构主频响应分析方法的有效性。

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	孙樱1
	万雨婷1
	陈力奋1
	郭其威2

关键词 ：局部非线性, 单面限位, 主频响应, 描述函数, 逆阵更新

Abstract：For large-scale nonlinear structures with local single-sided limitation, the fundamental frequency response characteristic is often closely related to the position and size of the limitation.The analysis method for nonlinear structures was mainly studied.The frequency domain characteristics of nonlinearity were characterized by the describing function first appeared in the nonlinear control.The inverse matrix updating method was used to reduce the processing dimension, which greatly improves the computational efficiency of frequency domain response.The numerical method Runge-Kutta was adopted to verify the effectiveness of the method.The first-order frequency response curve of a T-shaped beam was analysed by simulations and experiments.

Key words： local nonlinearity single-sided limitation fundamental frequency response Describing Function Inverse Matrix Update Method

收稿日期: 2017-12-25 出版日期: 2018-09-15

引用本文:

孙樱1，万雨婷1，陈力奋1，郭其威2. 含单面限位局部非线性结构的主频响应分析[J]. 振动与冲击, 2018, 37(18): 216-223.
SUN Ying1, WAN Yuting1, CHEN Lifen1, GUO Qiwei2. Fundamental frequency response analysis of local nonlinear structures with single-sided limitation. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(18): 216-223.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2018/V37/I18/216

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