摘要
运用同伦分析理论研究了五次强非线性且含有激励项的耗散Duffing系统,求出了此系统的零阶近似解和一阶近似解,并用数值模拟值与原系统的精确解相比较,证明了所得结果的精确度,说明了此理论适用于一些强非线性系统.
The homotopy analysis technique based on the parameter expansion theroy is applied to Duffing oscillation system with strong nonlinearity and including excitation items.and the zero-order and the first-order approximate solutions were obtained.Through comparing them with the exact solutions by numerical simulation.the accuracy of the results were verified.So,this technique is suitable for many strongly nonlinear systems.
出处
《华北水利水电学院学报》
2010年第3期103-106,共4页
North China Institute of Water Conservancy and Hydroelectric Power
关键词
同伦分析法
强非线性耗散振动
DUFFING方程
近似解
the Homotopy Analysis Method
strong nonlinear oscillation
Duffing equation
approximate solution
