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Indexed by:期刊论文

Date of Publication:2016-06-09

Journal:JOURNAL OF SOUND AND VIBRATION

Included Journals:SCIE、EI、Scopus

Volume:371

Page Number:305-320

ISSN No.:0022-460X

Key Words:Moving mass; surface irregularities; random responce; analytical solution

Abstract: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.