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

作　　者：徐玉秀 鲍文博 W.Schiehlen 胡海岩 

机构地区：[1]Department of Civil Engineering Shenyang University of Technology, Shenyang 110023, P R China,Northeast University, Shenyang, 110006, P R China [2]Institute B for machanic, University Stuttgart, Germany [3]Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第5期586-592,共7页应用数学和力学（英文版）

基　　金：国家自然科学基金

摘　　要：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.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.

关 键 词：Duffing's equation SUBHARMONIC transient process 

分 类 号：O322[理学—一般力学与力学基础]