The multiple scales method of Kuzmak-Luke is used to obtain the asymptotic solutions of pendulum with linear damping and slowly varying length, which are compared with the results of KBM and elliptic KB methods. Examples are given to show that the result of present method is more accurate than that of KBM and elliptic KB methods, although they are all effective to such problem.
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蔡建平,李怡平.长度慢变的单摆的渐近解的比较[J].动力学与控制学报,2004,2(3):94~96; Cai Jianping, Li Yiping. Comparison of asymptotic solutions of pendulum with slowly varying length[J]. Journal of Dynamics and Control,2004,2(3):94-96.
