Response of a String to an Accelerating Mass

Response of a String to an Accelerating Mass
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DOI:
10.1115/1.3423954
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发表时间:
1976-12
期刊:
Journal of Applied Mechanics
影响因子:
--
通讯作者:
R. Rodeman;D. B. Longcope;L. Shampine
R. Rodeman;D. B. Longcope;L. Shampine
中科院分区:
其他
文献类型:
--
作者:
R. Rodeman;D. B. Longcope;L. Shampine

文献摘要

被引文献

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计算了一根弦在静止状态下受到恒定水平加速度时的响应。弦的挠度用横向质量运动来表示。对质量速度的时滞微分方程进行了数值解和渐近解。弦的剖面呈现在亚音速和超音速。当质量通过弦的波速加速时,发现弦的位移出现了两个相反的跳跃。
The response of a string to a mass particle undergoing a constant horizontal acceleration from rest has been calculated. The string deflection is expressed in terms of the transverse mass motion. A delay-differential equation is solved both numerically and asymptotically for the mass velocity. String profiles are presented at subsonic and supersonic speeds. Two oppositely traveling jumps in string displacement are found to appear as the mass is accelerated through the wave speed of the string.