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PENDULUM WITH LINEAR DAMPING AND VARIABLE LENGTH 预览
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作者 蔡建平 杨翠红 李怡平 《应用数学和力学:英文版》 SCIE EI 2004年第11期 1271-1276,共6页
The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly vary... The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly varying parameter of length, three different cases are discussed in details. Asymptotic analytical expressions of amplitude, frequency and solution are obtained. The method of approximate potential makes the results effective for large oscillations. A modified multiple scales method is used to get more accurate leading order approximations when the coefficient friction is not small. Comparisons are also made with numerical results to show the efficiency of the present method. 展开更多
关键词 钟摆 多重刻度法 势能近似 变动因素
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