Nonlinear vibration analysis of axially moving string

被引：0
|
作者：
Iman Khatami
Mohsen Zahedi
机构：
[1] Chabahar Maritime University,Department of Mechanical Engineering
[2] University of Isfahan,Department of Computer Engineering
来源：
SN Applied Sciences | 2019年 / 1卷
关键词：
Nonlinear vibration; Axially moving; Multi-step differential transform method;
D O I：
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学科分类号：
摘要：
In this paper, the nonlinear transverse vibration arising from axially moving string is investigated analytically. Translating string eigenfunctions are employed to reduce a partial-differential equation to a set of second degree of freedom nonlinear systems. The multi-step differential transform method (MsDTM) is proposed in order to find accurate solutions of time-varying length of an axially moving string. To illustrate the applicability and accuracy of MsDTM, the axial motion model is treated with two different sets of parameters. The relationship between transverse displacement, angular velocity and time is obtained and discussed. The effect of the string’s speed, damping and tension on the transverse displacement of the string are also taken into consideration.
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