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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.