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航空学报 1999, Vol. 20 Issue (2) :107-110    DOI:
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随动载荷作用下非线性粘弹性简支板条的混沌运动
韩强, 胡海岩
南京航空航天大学振动力学工程研究所, 南京, 210016
CHAOTIC MOTION IN NONLINEAR VISCOELASTIC PANELS UNDER FOLLOWER FORCE
Han Qiang, Hu Haiyan
Han Qiang, Hu Haiyan(Institute of Vibration Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing, 210016

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摘要 

考虑材料的粘性和非线性弹性性质,研究了板条在随动载荷作用下的混沌运动,建立了相应的非线性动力方程,利用Melnikov函数给出发生混沌运动的临界条件,结合Poincare映射、相平面轨迹及时程曲线判定系统是否处于混沌状态,并对通向混沌的道路进行了讨论。

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韩强
胡海岩
关键词随动载荷   混沌   Poincare映射     
Abstract

The chaotic motion of a follower forced panel is studied.A nonlinear dynamic equation is derived, with the effect of nonlinear viscoelasticity taken into account.By means of the Garlerkin approach and the Melnikov function method, the critical condition for chaotic motion is obtained.A demonstrative example is discussed through the Poincare mapping, phase portrait and time history.Finally the route to chaotic motion is also discussed.

Keywordsfollower for ce   chaos   Poincar e mapping     
Received 1998-05-20; published 1999-04-25
引用本文:   
韩强;胡海岩. 随动载荷作用下非线性粘弹性简支板条的混沌运动[J]. 航空学报, 1999, 20(2): 107-110.DOI:
Han Qiang;Hu Haiyan. CHAOTIC MOTION IN NONLINEAR VISCOELASTIC PANELS UNDER FOLLOWER FORCE[J]. Acta Aeronautica et Astronautica Sinica, 1999, 20(2): 107-110.DOI:
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