强非线性多自由度动力系统主共振同伦分析法研究

原培新; 李永强

doi:10.3879/j.issn.1000-0887.2010.10.010

强非线性多自由度动力系统主共振同伦分析法研究

doi: 10.3879/j.issn.1000-0887.2010.10.010

原培新¹,
李永强²

1.
东北大学机械工程与自动化学院,沈阳 110004;2.东北大学理学院,沈阳 110004

基金项目: 中央高校基本科研业务费专项资金资助项目(90405009)

详细信息

作者简介:
原培新(1953- ),男,辽宁营口人,教授,硕士(联系人.E-mail:neuypx@vip.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: 1900-01-01
- 修回日期: 2010-09-03
- 刊出日期: 2010-10-15

Study on Primary Resonance of Multi-Degree-of-Freedom Dynamic Systems With Strongly Non-Linearity Using the Homotopy Analysis Method

YUAN Pei-xin¹,
LI Yong-qiang²

1.
Mechanical Engineering and Automation School, Northeastern University, Shenyang 110004, P. R. China;

摘要

摘要: 应用同伦分析方法(HAM)解决强非线性多自由度系统在谐波激振力下的主共振问题．同伦分析方法的有效性独立于所考虑的方程中是否含有的小参数．同伦分析方法提供了一个简单的方法，通过一个辅助参数h-来调节和控制级数解的收敛区域．两个具体算例表明，同伦分析方法得出的结果与修正Linstedt-Poincaré法、增量谐波平衡法的解决方案得出的结果相吻合．
- 同伦分析法 /
- 主共振 /
- 强非线性 /
- 级数解 /
- 多自由度
Abstract: The homotopy analysis method (HAM) was presented for the primary resonance of multidegree-of-freedom system with strongly non-linearity excited by harmonic forces.The validity of the HAM is independent of whether or not there are small parameters in the considered equation.The HAM has provided a simple way to adjust and control the convergence region of the series solution by means of an auxiliary parameter h.Two examples were presented to show that the HAM solutions agree well with the results of the modified Linstedt-Poincarémethod and the incremental harmonic balance method.
- homotopy analysis method /
- primary resonance /
- strongly non-linearity /
- series solution /
- multi-degree-of-freedom

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参考文献(23)

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