Out-of-plane free vibrations of curved beams with variable curvature

作者: Byoung Koo Lee , Sang Jin Oh , Jeong Man Mo , Tae Eun Lee

DOI: 10.1016/J.JSV.2008.04.015

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摘要: Abstract The differential equations governing out-of-plane free vibrations of the elastic, horizontally curved beams with variable curvature are derived and solved numerically to obtain natural frequencies mode shapes for parabolic, sinusoidal elliptic hinged–hinged, hinged–clamped, clamped–clamped end constraints, in which effects rotatory torsional inertias shear deformation included. Experimental measures several laboratory-scale parabolic models serve validate theoretical results.

参考文章(24)
Wang Tung-Ming, Marc P. Guilbert, Effects of rotary inertia and shear on natural frequencies of continuous circular curved beams International Journal of Solids and Structures. ,vol. 17, pp. 281- 289 ,(1981) , 10.1016/0020-7683(81)90062-7
BYOUNG KOO LEE, SANG JIN OH, KWANG KYOU PARK, FREE VIBRATIONS OF SHEAR DEFORMABLE CIRCULAR CURVED BEAMS RESTING ON ELASTIC FOUNDATIONS International Journal of Structural Stability and Dynamics. ,vol. 02, pp. 77- 97 ,(2002) , 10.1142/S0219455402000440
Stephen P Timoshenko, None, LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars Philosophical Magazine Series 1. ,vol. 41, pp. 744- 746 ,(1921) , 10.1080/14786442108636264
B.K. Lee, J.F. Wilson, Free vibrations of arches with variable curvature Journal of Sound and Vibration. ,vol. 136, pp. 75- 89 ,(1990) , 10.1016/0022-460X(90)90939-W
W.P. Howson, A.K. Jemah, J.Q. Zhou, Exact natural frequencies for out-of-plane motion of plane structures composed of curved beam members Computers & Structures. ,vol. 55, pp. 989- 995 ,(1995) , 10.1016/0045-7949(94)00524-7
Kijun Kang, Charles W. Bert, Alfred G. Striz, Vibration Analysis of Horizontally Curved Beams with Warping Using DQM Journal of Structural Engineering. ,vol. 122, pp. 657- 662 ,(1996) , 10.1061/(ASCE)0733-9445(1996)122:6(657)
Vibration of an Elastic Strip with Varying Curvature Philosophical Transactions of the Royal Society A. ,vol. 339, pp. 587- 625 ,(1992) , 10.1098/RSTA.1992.0052
Stephen P Timoshenko, James Norman Goodier, Theory of elasticity ,(1934)
J. H. Gaines, Enrico Volterra, Advanced strength of materials Prentice-Hall. ,(1971)