An exact solution for in-plane vibrations of an arch having variable curvature and cross section

doi:10.1016/S0020-7403(98)00020-4

淡江大學機構典藏 > 工學院 > 土木工程學系暨研究所 > 期刊論文 > Item 987654321/44841

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題名:	An exact solution for in-plane vibrations of an arch having variable curvature and cross section
作者:	黃炯憲;Huang, Chiung-shiann;曾一平;Tseng, Yi-ping;Leissa, A. W.;Nieh, K. Y.
貢獻者:	淡江大學土木工程學系
關鍵詞:	exact solution;free vibration;arch;variable curvature;variable cross section
日期:	1998-11-01
上傳時間:	2010-03-26 17:25:55 (UTC+8)
出版者:	Elsevier
摘要:	An exact solution for in-plane vibration of arches with variable curvature as well as cross section has been developed using the famous Frobenius method combined with the dynamic stiffness method. The effects of shear deformation and rotary inertia are taken into account. A convergent solution is always guaranteed without numerical difficulties. An important by-product of this series solution is that the first known dynamic stiffness matrix for an arch with variable curvature and variable cross section is also explicitly formulated. Some new numerical results are given for non-dimensional frequencies of parabolic arches with a certain type of variation of cross section along the arch that is often used in practical structures. Extensive and accurate (six significant figure ) non-dimensional frequency tables and graphic charts are presented for a series of parabolic arches showing the effects of rise to span length, slenderness ratio, and variation of cross section.
關聯:	International journal of mechanical sciences 40(11), pp.1159-1173
DOI:	10.1016/S0020-7403(98)00020-4
顯示於類別:	[土木工程學系暨研究所] 期刊論文

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