Nonlinear analysis of a parametrically excited beam with intermediate support by using Multi-dimensional incremental harmonic balance method

详细信息    查看全文

• 作者：Shihua Zhou ^{zhou_shihua@126.com} ; Guiqiu Song ; ^{guiqiusong@126.com} ; Zhaohui Ren ^{zhhren.neu@gmail.com} ; Bangchun Wen ^{bangchunwen@126.com}
• 关键词：Euler-bernoulli beam ; Nonlinear dynamics ; MIHBM ; Nonlinear support ; Galerkin method
• 刊名：Chaos, Solitons & Fractals
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：93
• 期：Complete
• 页码：207-222
• 全文大小：8043 K
• 卷排序：93

文摘

A nonlinear Euler-Bernoulli beam under a concentrated harmonic excitation with intermediate nonlinear support is investigated. The nonlinear support device contains both quadratic and cubic nonlinearities. The Multi-dimensional incremental harmonic balance method (MIHBM) is derived. Amplitude-frequency curve, bifurcation and 3-D frequency spectrum are used to analyze the system. The excitation amplitude (fP), nonlinear support stiffness (kC) and support location (xK) are investigated.