Dynamic stability of linear parametrically excited twisted Timoshenko beams under periodic axial loads

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题名:	Dynamic stability of linear parametrically excited twisted Timoshenko beams under periodic axial loads
作者:	Chen, WR (Chen, Wei-Ren)
贡献者:	Dept Mech Engn
关键词:	SPINNING PRETWISTED BEAMS RECTANGULAR CROSS-SECTION FINITE-ELEMENT VIBRATION ANALYSIS DIFFERENTIAL TRANSFORM TRANSVERSE VIBRATION INSTABILITY SHEAR DEFLECTION ROTARY INERTIA SUBJECT
日期:	2011-01
上传时间:	2013-01-31 10:06:58 (UTC+8)
摘要:	In this paper, the parametric instability of twisted Timoshenko beams with various end conditions and under an axial pulsating force is studied. The equations of motion in the twisted frame are derived using a finite element method. Based on Bolotin's method, a set of second-order ordinary differential equations with periodic coefficients of Mathieu-Hill type is formed to determine the instability regions for twisted Timoshenko beams. A dynamic instability index is defined and used as an instability measure to study the influence of various parameters. The effects of beam length, inertia ratio, pre-twist angle, dynamic component of axial force and restraint condition on the instability regions and dynamic instability index of the twisted beam are investigated and discussed.
關聯:	ACTA MECHANICA 卷: 216 期: 1-4 頁數: 207-223 DOI: 10.1007/s00707-010-0364-z
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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