Parametric instability of twisted Timoshenko beams with localized damage

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题名:	Parametric instability of twisted Timoshenko beams with localized damage
作者:	Chen, Wei-Ren Chen, Chun-Sheng
贡献者:	Dept Mech Engn
关键词:	parametric instability Timoshenko beam localized damage instability region
日期:	2015-09
上传时间:	2015-10-19 11:12:48 (UTC+8)
摘要:	The parametric instability of twisted Timoshenko beams with localized damage under an axial pulsating force is studied. The bending vibration equations of motion in the twisted frame are established using the Hamilton's principle. The partial differential equations of motion are then discretized into a set of second-order ordinary differential equations with periodic coefficients of Mathieu-Hill type by using a finite element approach. An eigenvalue problem is formulated to determine the instability regions of the twisted Timoshenko beams with localized damage based on Bolotin's method. The effects of the twist angle, the damage location, the extent of the damage, the static component of axial force and boundary conditions on the instability regions of the damaged twisted beam are investigated. Two parameters associated with the parametric instability are used to assess the destabilizing effect of damage location and extent of damage on the parametric resonance of twisted beams with localized damage. (C) 2015 Elsevier Ltd. All rights reserved.
關聯:	INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 卷: 100 頁碼: 298-311
显示于类别:	[機械工程系暨機械工程學系數位機電研究所] 期刊論文

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