| Vibration response analysis of 2-DOF locally nonlinear systems based on the theory of modal superposition |
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| 作者姓名： | WANG Yong HUANG Qi-bai ZHOU Ming-gang XIE Shou-yong |
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| 作者单位： | [1]School of Mechanical Science ＆ Engineenng, Huazhong University of Science ＆ Technology, Wuhan 430074, P. R. China [2]Xiangfan University, Xiangfan 441003, P. R. China |
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| 摘 要： | 1 Introduction ? Low frequency vibration has an important effect on body comfort and on the fatigue of a vibrating system. Nearly all actual vibrating systems are nonlinear. However, nonlinear behaviors are not always observed in the system dynamics. Thus…
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| 关 键 词： | 振动响应 2-DOF 非线性系统 阻尼特性 |
| 文章编号： | 1671-8224（2006）03-0125-06 |
| 收稿时间： | 2006-02-27 |
| 修稿时间： | 2006-06-12 |
Vibration response analysis of 2-DOF locally nonlinear systems based on the theory of modal superposition |
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| WANG Yong HUANG Qi-bai ZHOU Ming-gang XIE Shou-yong.Vibration response analysis of 2-DOF locally nonlinear systems based on the theory of modal superposition[J].Journal of Chongqing University,2006,5(3):125-130. |
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| Authors: | WANG Yong HUANG Qi-bai ZHOU Ming-gang XIE Shou-yong School of Mechanical Science & Engineering Huazhong University of Science & Technology Wuhan P R China Xiangfan University Xiangfan P R China |
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| Abstract: | Many important vibration phenomena which simultaneously contain quadratic nonlinear stiffness and damping exist in the complicated vibrating systems under practical circumstances.In this paper,we established a 2-degree-of-freedom (DOF) nonlinear vibration model for such a system,deduced the differential equations of motion which govern its dynamics,and worked out the solutions for the governing equations by the principle of superposition of nonlinear normal modes (NLNM) based on Shaw's theory of invariant manifolds.We conducted numerical simulations with the established model,using superposition of nonlinear normal modes and direct numerical methods,respectively.The obtained results demonstrate the feasibility of the proposed method in that its calculated data varies in a similar tendency to that of the direct numerical solutions. |
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| Keywords: | vibration response quadratic nonlinear stiffness and damping theory of modal superposition feasibility |
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