杜芬方程的1/3纯亚谐解及其过渡过程

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基金项目: 德国巴登府德堡州科研部资助课题(D-B-93-88);国家自然科学基金资助项目(59572024)

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

摘要: 通过谐波平衡法和数值积分法研究了杜芬方程的1/3纯亚谐解。对参数变化的过渡过程的敏感性和扰动初始值的过渡过程进行了研究。同时,还对谐波平衡法和数值积分法的精度进行了比较。也考虑了亚谐波成分的渐近稳态性。
- 杜芬方程 /
- 纯亚谐解 /
- 过渡过程
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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