个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:大连理工大学
学位:博士
所在单位:力学与航空航天学院
学科:固体力学. 计算力学. 工程力学
办公地点:综合实验1号楼523
联系方式:qgao@dlut.edu.cn
电子邮箱:qgao@dlut.edu.cn
Analytical solutions for a mass moving along a finite stretched string with random surface irregularities
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论文类型:期刊论文
发表时间:2016-06-09
发表刊物:JOURNAL OF SOUND AND VIBRATION
收录刊物:SCIE、EI、Scopus
卷号:371
页面范围:305-320
ISSN号:0022-460X
关键字:Moving mass; surface irregularities; random responce; analytical solution
摘要: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. (C) 2016 Elsevier Ltd. All rights reserved.