A 1/3 PURE SUBHARMONIC SOLUTION AND TRANSIENT PROCESS FOR THE DUFFING'S EQUATION

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A 1/3 PURE SUBHARMONIC SOLUTION AND TRANSIENT PROCESS FOR THE DUFFING'S EQUATION

The 1/3 subharmonic solution for the Duffing' s equation is investigated by using the methods of harmonic balance and numerical integration. The sensitivity of parameter variation for the transient process and the transient process for the perturbance initial conditions are studied. Over and above, the precision of numerical integration method is discussed and the numerical integration method is compared with the harmonic balance method. Finally, asymptotical stability of the pure subharmonic oscillations element is inspected.水利论文N]&q Q qGSK

作 者: 徐玉秀 鲍文博 W.Schiehlen 胡海岩  
作者单位:徐玉秀(Department of Civil Engineering Shenyang University of Technology, Shenyang 110023, P R China;Northeast University, Shenyang, 110006, P R China)
QAd&A2j vW ?0鲍文博,W.Schiehlen(Institute B for machanic, University Stuttgart, Germany)
,FA3R"|#UT;n;~0胡海岩(Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P R China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(5) 
分类号:O322 
关键词:Duffing' s equation   subharmonic   transient process  
机标关键词:TRANSIENT PROCESSnumerical integrationintegration methodtransient processharmonic balancesubharmonic solutioninitial conditionsmethods of 
基金项目:国家自然科学基金 
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