小初始挠度两端固支屈曲梁的非线性动力学分析

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Abstract The nonlinear dynamics of a fixed-fixed buckled beam with low initial deflection subject to uniform hamonic base excitation was concerned, which was governed by a coupled nonlinear equation with both quadratic and cubic nonlinearities.The Galerkin method was employed to discretize the governing equation, and the incremental harmonic balance (IHB) method with variable excitation force was used to track the dynamic response of the buckled beam.The Floquet theory was used to analyze the stability and bifurcation of the solution.It is found that at low initial deflection, the anti-symmetric modes cannot be excited,however, period-doubling and saddle node bifurcations will occur and lead to snapthrough of the solution.The results obtained by incremental harmonic balance method agree very well with those by the numerical integration using the fourth-order Runge-Kutta method.

Key words： buckled beam nonlinear dynamics incremental harmonic balance(IHB) method bifurcation chaos

Received: 11 October 2018 Published: 15 March 2020

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	XIAO Longjiang
	HUANG Jianliang

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XIAO Longjiang,HUANG Jianliang. Nonlinear dynamics of a fixed-fixed buckled beam with low initial deflection[J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(6): 161-166.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2020/V39/I6/161

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