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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
The analytical solutions for the wave propagation in a stretched string with a moving mass
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论文类型:期刊论文
发表时间:2015-12-01
发表刊物:WAVE MOTION
收录刊物:SCIE、EI
卷号:59
页面范围:1-28
ISSN号:0165-2125
关键字:Analytical solution; Moving mass; Vibrations of string; Subsonic; Sonic or supersonic velocities
摘要:This paper derives the analytical solutions for a stretched string subjected to a concentrated mass moving at a constant velocity. From the derived analytical solutions of the contact force between the string and the mass, the displacement responses of the string can be easily obtained. The solutions cover an infinite, semi-infinite or finite string subjected to a moving mass at subsonic, sonic or supersonic velocities. For the semi-infinite or finite strings, the solutions for different types of boundary conditions are presented in both a unified form and in the form of a series of exponential and polynomial functions. The formula derived is shown to be correct by comparison with the semi-analytical method. (C) 2015 Elsevier B.V. All rights reserved.