周期激励浅拱1:2内共振参数平面定常运动分布

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基金项目: 国家自然科学基金;国家青年科学基金

Steady State Motions of Shallow Arch under Periodic Force with 1:2 Internal Resonance on the Plane of Physical Parameters

摘要: 本文研究了已具有静变形的受周期激励作用下浅拱在1:2内共振条件下的分岔特性,进而按系统的运动形式将整个参数平面分成不同的区域,得到了物理参数平面上浅拱的定常运动分布情况,结合数值分析方法详细分析了系统在各个区域内特别是Hopf分岔区域内系统的动力学特性,指出系统模态相互作用的规律及其通向混沌的过程.
- 浅拱 /
- 内共振 /
- 定常运动 /
- 分岔 /
- 混沌
Abstract: The bifurcation dynamics of shallow arch which possesses initial deflection underperiodic excitation for the case of 1:2 internal resonance is studied in this paper.The whole parametric plane is divided into several different regions according to the types of motions; then the distribution of steady state motions of shallow arch on foe plane of physical parameters is obtained.Combining with numerical method,the dynamics ofthe system in different regions.especially in foe Hopf bifurcation region.is studied indetail.The rule of the mode interaction and the route to choos of the system is alsoanalysed at the end.
- shallow arch /
- internal resonance /
- steady state motion /
- bifurcation /
- chaos

[1]	Z.C.Feng and P.R.Sethna,Golabel bifurcation and chaos in parametrically forcedsystems with one-one resonance,Dyn.Stab.Syst.,5,4(1990),201-225.
[2]	A.H.Nayfeh,Modal interactions in dynamical and structural systems,Appl.Mech.Rev.,42,2(1989),175-201.
[3]	Win Min Tien,Nonlinear dynamics of shallow arch under periodic excitation-I Internalresonance,Int.J.Nonlinear Mech.,29,3(1994),367-386.
[4]	毕勤胜、陈予恕,周期激励浅拱分岔研究,力学学报,30,1(1998),83-88.
[5]	毕勤胜,多自由度非线性振动系统复杂动力学行为研究,天津大学博士后研究工作报告,天津(1996).