A 1/3 Pure Subharmonic Solution and Transient Process for the Duffing’s Equation

XU Yu-xiu; BAO Wen-bo; W.Schiehlen; HU Hai-yan

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(5): 519-524

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, 2001, 22(5): 519-524.

Citation:

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, 2001, 22(5): 519-524.

Citation:

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, 2001, 22(5): 519-524.

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A 1/3 Pure Subharmonic Solution and Transient Process for the Duffing’s Equation

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

Received Date: 1999-10-18
Rev Recd Date: 2001-01-16
Publish Date: 2001-05-15

Abstract

Abstract

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.
- Duffing’s equation,
- subharmonic,
- transient process

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References(6)

References

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