Browse > Article

Out-of-plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method  

Lee, Jinhee (Department of Mechano-Informatics, Hongik University)
Publication Information
International Journal of Precision Engineering and Manufacturing / v.5, no.2, 2004 , pp. 53-59 More about this Journal
Abstract
The pseudospectral method is applied to the analysis of out-of$.$plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions. The present method gives good accuracy with only a limited number of collocation points.
Keywords
Pseudospectral Method; Eigenvalue Analysis; Curved Timoshenko Beam; Out-of-plane Mode;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Howson, W. P., Jemah, A. K. and Zhou, J. Q., 'Exact Natural Frequencies for Out-of-plane Motion of Plane Structures Composed of Curved Beam Members,' Computers & Structures, Vol. 55, No. 6, pp. 989-995, 1995   DOI   ScienceOn
2 Howson, W. P. and Jemah, A. K., 'Exact Out-of-plane Natural Frequencies of Curved Timoshenko Beam,' Journal of Engineering Mechanics, Vol. 125, No. 1, pp. 19-25, 1999   DOI   ScienceOn
3 Davis, R., Henshell, R. D. and Warburton, G. B., 'Constant Curvature Beam Finite Elements for In-plane Vibration,' Journal of Sound and Vibration, Vol. 25, No. 4, pp. 561-576, 1972   DOI   ScienceOn
4 Heppler, G. R., 'An Element for Studying the Vibration of Unrestrained Curved Timoshenko Beams,' Journal of Sound and Vibration, Vol. 158, No. 3, pp. 387-404, 1992   DOI   ScienceOn
5 Lee, J., 'Eigenvalue Analysis of Axisymmetric Circular Mindlin Plates by Pseudospectral Method,' International Journal of KSPE, Vol. 3, No. 3, pp. 44-49, 2002
6 Lee, J., 'Eigenvalue Analysis of Rectangular Mindlin Plates by Chebyshev Pseudospectral Method,' KSME International Journal, Vol. 17, No. 3, pp. 370-379, 2003   DOI
7 Prathap, G. and Babu, C. R., 'An Isoparametric Quadratic Thick Curved Beam Element,' International Journal for Numerical Methods in Engineering, Vol. 23, No. 9, pp. 1583-1600, 1986   DOI   ScienceOn
8 Tseng, Y.-P., Huang, C. S. and Lin, C.-J., 'Dynamic Stiffness Analysis for In-plane Vibrations of Arches with Variable Curvature,' Journal of Sound and Vibration, Vol. 207, No. 1, pp. 15-31, 1997   DOI   ScienceOn
9 Irie, T., Yamada, G. and Tanaka, K., 'Natural Frequencies of Out-of-plane Vibration of Arcs,' Journal of Applied Mechanics, Transactions of ASME, Vol. 49, No. 4, pp. 910-913, 1982   DOI
10 Kang, K., Bert, C. W. and Striz, A. G., 'Vibration Analysis of Shear Deformable Circular Arches by the Differential Quadrature Method,' Journal of Sound and Vibration, Vol. 183, No. 2, pp. 353-360, 1995   DOI   ScienceOn
11 Yang, S.-Y. and Sin, H.-C., 'Curvature Base Beam Element for the Analysis of Timoshenko and Shear-Deformable Beam,' Journal of Sound and Vibration, Vol. 187, No. 4, pp. 569-584, 1995   DOI   ScienceOn
12 Issa, M. S., Wang, T. M. and Hsiao, B. T., 'Extensional Vibrations of Continuous Circular Curved Beams with Rotary Inertia and Shear Deformation I: Free Vibration,' Journal of Sound and Vibration, Vol. 114, No. 2, pp. 297-308, 1987   DOI   ScienceOn
13 Lee, P.-G. and Sin, H.-C., 'Locking Free Curved Beam Element Based on Curvature,' International Journal for Numerical Methods in Engineering, Vol. 37, No. 6, pp. 989-1007, 1994   DOI   ScienceOn
14 Yildrim, V., 'A Computer Program for the free Vibration Analysis of Elastic Arcs,' Computers & Structures, Vol. 62, No. 3, pp. 475-485, 1997   DOI   ScienceOn
15 Bickford, W. B. and Strom, B. T., 'Vibration of Plane Curved Beams,' Journal of Sound and Vibration, Vol. 39, No. 2, pp. 135-146, 1975   DOI   ScienceOn
16 Irie, T., Yamada, G. and Tanaka, K., 'Natural Frequencies of In-plane Vibration of Arcs,' Journal of Applied Mechanics, Transactions of ASME, Vol. 50, No. 2, pp. 449-452, 1983   DOI