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长度慢变的单摆的渐近解的比较

COMPARISON OF ASYMPTOTIC SOLUTIONS OF PENDULUM WITH SLOWLY VARYING LENGTH
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摘要 应用Kuzmak-Luke的多尺度法求得长度慢变的单摆的渐近解,并与KBM法、椭圆KB法的结果进行比较.数值算例表明Kuzmak-Luke的多尺度法比KBM法、椭圆KB法更精确. The multiple scales method of Kuzmak-Luke was used to obtain the asymptotic solutions of pendulum with slowly varying length, and the solutions were compared with the results of KBM and elliptic KB methods. The comparison showed that the result of the present method was more accurate than that of KBM and elliptic KB methods, although they were all effective to such problem.
出处 《动力学与控制学报》 2004年第3期94-96,共3页 Journal of Dynamics and Control
关键词 多尺度法 非线性振动 KBM法 椭圆KB法 nonlinear oscillation, multiple scales method, KBM method, elliptic KB method
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  • 1李怡平,IEEE J QE,1988年,24卷,598页
  • 2李怡平,1987年
  • 3戴世强,中国科学.A,1986年,1期,34页

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