Analytical solutions for a mass moving along a finite stretched string with random surface irregularities
Analytical solutions for a mass moving along a finite stretched string with random surface irregularities
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沿着具有随机表面不规则性的有限拉伸弦移动的质量的解析解
DOI：
10.1016/j.jsv.2016.02.006
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发表时间：
2016-06
影响因子：
4.7
通讯作者：
Zhang, J.
中科院分区：
文献类型：
--
作者：
Gao, Q.;Zhang, J.
本文导出了集中质量沿沿着具有随机表面不规则性的有限长拉伸弦作匀速运动的随机分析的解析解。首先，将随机响应的功率谱密度（PSD）计算问题转化为集中质量沿沿着受拉弦作匀速运动的瞬态响应计算问题。其次，弦和质量之间的接触力的解析解推导出谐波变化的表面不规则性。最后，接触力和位移的PSD的字符串被确定的随机表面不规则的PSD。解析解包括亚音速、音速和超音速三种情况。通过与半解析法的比较，验证了该方法的有效性。
This paper derives the analytical solution for the stochastic analysis of a concentrated mass moving at a constant velocity along a finite stretched string with random surface irregularities. Firstly, the problem of computing the spectral power density (PSD) of the random response is transformed into the problem of computing the transient response of a concentrated mass moving at a constant velocity along a stretched string with harmonic random surface irregularities. Next, the analytical solutions of the contact force between the string and the mass are derived for harmonically varying surface irregularities. Finally, the PSDs of contact force and the displacement of the string are determined in terms of the PSD of the random surface irregularities. The analytical solutions cover all three cases of subsonic, sonic or supersonic velocities. The proposed method was verified based on a comparison with the semi-analytical method.
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具有移动质量的拉伸弦中波传播的解析解
影响因子：
2.4
作者：
Gao, Q.;Zhang, J.;Zhang, H. W.;Zhong, W. X.
通讯作者：
Zhong, W. X.
影响因子：
3.6
作者：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
Oniszczuk, Z