Nonlinear vibration analysis of a beam supported by springs

被引：0
作者：
Kobayashi, Yukinori [1 ]
Nakabayashi, Keiichi [1 ]
Harada, Akira [1 ]
机构：
[1] Graduate School of Engineering, Hokkaido University, Sapporo-shi, Hokkaido, 060-8628, Kita-13
来源：
Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C | 2007年 / 73卷 / 04期
关键词：
Finite element method; Method of vibration analysis; Modal analysis; Nonlinear vibration; Reduced-order model; Vibration of continuous system;
D O I：
10.1299/kikaic.73.982
中图分类号：
学科分类号：
摘要：
This paper presents nonlinear vibration analysis of a beam supported by springs. The nonlinear strain-displacement relationship is employed and the in-plane displacement in the middle plane is included in the analytical model. The equations of motion are derived by applying the principle of virtual work. FEM-based equations of a beam with geometrical nonlinearity are derived, and a reduced-order model is obtained using non-classical modal coordinates. Transforming the equations of motion into the modal coordinates is defined by the displacement vector that is calculated from the nonlinear FEM-based equations. Using the reduced-order model, influence on nonlinear vibration of a spring support is studied in detail.
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页码：982 / 988
页数：6
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