一类弹性储液箱同液体耦合晃动问题的分岔行为分析

钟顺; 陈予恕

doi:10.3879/j.issn.1000-0887.2011.09.008

一类弹性储液箱同液体耦合晃动问题的分岔行为分析

doi: 10.3879/j.issn.1000-0887.2011.09.008

钟顺^1,2,3,
陈予恕^1,2,3

天津大学机械工程学院航空航天研究院非线性动力学研究中心,天津 300072;2.天津大学内燃机燃烧学国家重点实验室,天津 300072;3.天津市非线性动力学与混沌控制重点实验室,天津 300072

基金项目: 国家自然科学基金重点资助项目(10632040);天津市自然科学基金重点资助项目(09JCZDJC26800)

详细信息

作者简介:
钟顺(1983- ),男,河北易县人,博士(E-mail:ily_00000@163.com);陈予恕(1931- ),男,山东肥城人,教授,博士生导师,中国工程院院士(联系人.E-mail:yschen@tju.edu.cn).

中图分类号: TB12;O322
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出版历程
- 收稿日期: 2010-10-11
- 修回日期: 2011-04-14
- 刊出日期: 2011-09-15

Bifurcation of a Class of Elastic Tank-Liquid Coupled Sloshing System

ZHONG Shun^1,2,3,
CHEN Yu-shu^1,2,3

Research Center for Nonlinear Dynamics, School of Mechanical Engineering of Aviation and Astronautics, Tianjin University, Tianjin 300072, P. R. China;

摘要

摘要: 建立了弹性圆柱型储液箱同液体耦合系统在外激励下的非线性振动方程组．采用多尺度法、奇异性理论研究此非线性振动系统共振解的分岔行为，通过对其分岔行为的分析和讨论，得到了这一系统的多种转迁集和分岔图，建立了系统参数与其拓扑分岔解的联系，并且分析了不同参数下系统的分岔特性，为实现储液器参数的优化控制提供了理论依据．
- 弹性液固耦合系统 /
- 分岔方程 /
- 奇异性理论 /
- 晃动控制
Abstract: The nonlinear equations of an elastic tank-liquid coupling system which was subjected to external excitation were established.By means of multi-scale method and singularity theory,the bifurcation behaviors of the system were investigated and analyzed,so that abundant nonlinear dynamical behaviors of the coupling system were obtained,which could make a further explanation of the relationship between physical parameters and bifurcation solutions.In order to realize the parameters' optimal control,the results provide its theoretical basis.
- elastic tank-liquid coupling system /
- bifurcation equation /
- singularity theory /
- sloshing control

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参考文献(12)

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