Fundamental frequency response analysis of local nonlinear structures with single-sided limitation

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (18) : 216-223.

SUN Ying1, WAN Yuting1, CHEN Lifen1, GUO Qiwei2

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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.

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local nonlinearity / single-sided limitation / fundamental frequency response / Describing Function / Inverse Matrix Update Method

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SUN Ying1, WAN Yuting1, CHEN Lifen1, GUO Qiwei2. Fundamental frequency response analysis of local nonlinear structures with single-sided limitation[J]. Journal of Vibration and Shock, 2018, 37(18): 216-223

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