强横向激励作用下屈曲梁的稳态幅频特性

王昊; 陈立群

doi:10.3879/j.issn.1000-0887.2014.02.006

强横向激励作用下屈曲梁的稳态幅频特性

doi: 10.3879/j.issn.1000-0887.2014.02.006

王昊¹,
陈立群^1,2,3

¹上海大学上海市应用数学和力学研究所,上海 200072;²上海大学力学系,上海 200444;³上海大学上海市力学在能源工程中的应用重点实验室, 上海 200072

基金项目: 国家自然科学基金重点项目（11232009）；上海市重点学科建设项目（S30106）

详细信息

作者简介:
王昊（1989—），男，浙江人，硕士生(E-mail: wanghao890818@163.com);

中图分类号: O322
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- 被引次数: 0
出版历程
- 收稿日期: 2013-10-10
- 修回日期: 2013-11-28
- 刊出日期: 2014-02-15

Steady-State Amplitude-Frequency Characteristics of Axially Buckled Beams Under Strong Transverse Excitation

WANG Hao¹,
CHEN Li-qun^1,2,3

¹Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;²Department of Mechanics, Shanghai University, Shanghai 200444, P.R.China;³Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P.R.China

Funds: The National Natural Science Foundation of China（11232009）

摘要

摘要: 研究均匀各向同性黏弹性屈曲梁受基座简谐运动激励的横向非线性振动.在简支边界条件和强外激励的作用下，基于二阶Galerkin方法截断导出的数学模型，用多尺度法分析了存在1∶2内共振时的主共振，由可解性条件导出稳态响应.发现幅频响应曲线存在多种跳跃现象.考察了各系数尤其是轴向压力对幅频响应曲线的影响
- 非线性 /
- 黏弹性 /
- 屈曲梁 /
- 受迫振动 /
- 幅频特性
Abstract: A nonlinear vibration analysis was conducted to determine the steady-state response of simply-supported viscoelastic axially buckled beams to harmonic base excitation. Based on the 2-order Galerkin truncation of the governing equation, and in the case of strong excitation, the solvability condition was derived with the multiple-scale method in the presence of 1∶2 internal resonance, to analyze the primary strong external resonance. Various jumping phenomena were revealed in the amplitude-frequency characteristic curves, and the effects of related parameters, especially the axial force, on the phenomena were examined.
- nonlinearity /
- viscoelasticity /
- buckled beam /
- forced vibration /
- amplitude-frequency characteristics

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参考文献(10)

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