Vibration of string with time-varying length

被引：0
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作者：
Kanayama, Tadashi
Kotera, Tadashi
机构：
来源：
Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C | 1993年 / 59卷 / 564期
关键词：
Differential equations - Equations of motion - Integral equations - Rope;
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摘要：
Free vibration of string with time-varying length is analyzed. An equation of motion described by a partial differential equation cannot be solved by the method of variable separation. In the present paper the equation of motion of a string with a constant length is described by a partial integro-differential equation. Then, vibrations with a moving support acted upon by an unknown load are analyzed. From the condition that the displacement of the string at the support is zero, an integral equation of Volterra type of the first kind with respect to an unknown load is obtained. This integral equation is solved approximately and solutions of free vibrations are obtained.
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页码：2415 / 2420
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