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

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (5): 586-592.

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

徐玉秀^1,2, 鮑文博³, W. Schiehlen³, 胡海岩⁴

1. Department of Civil Engineering Shenyang University of Technology, Shenyang 110023, P. R. China;
2. Northeast University, Shenyang, 110006, P. R. China;
3. Institute B for machanic, University Stuttgart, Germany;
4. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

收稿日期:1999-10-18 修回日期:2001-01-16 出版日期:2001-05-18 发布日期:2001-05-18
基金资助:
the National Natural Science Foundation of China(59572024)

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

XU Yu-xiu^1,2, BAO Wen-bo³, W.Schiehlen³, HU Hai-yan⁴

1. Department of Civil Engineering Shenyang University of Technology, Shenyang 110023, P. R. China;
2. Northeast University, Shenyang, 110006, P. R. China;
3. Institute B for machanic, University Stuttgart, Germany;
4. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

Received:1999-10-18 Revised:2001-01-16 Online:2001-05-18 Published:2001-05-18
Supported by:
the National Natural Science Foundation of China(59572024)

摘要/Abstract

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.

中图分类号:

O322

徐玉秀;鮑文博;W. Schiehlen;胡海岩. A 1/3 PURE SUBHARMONIC SOLUTION AND TRANSIENT PROCESS FOR THE DUFFING’S EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(5): 586-592.

XU Yu-xiu;BAO Wen-bo;W.Schiehlen;HU Hai-yan. A 1/3 PURE SUBHARMONIC SOLUTION AND TRANSIENT PROCESS FOR THE DUFFING’S EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(5): 586-592.

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

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

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