Nonlinear vibration analysis of isotropic plate with inclined part-through surface crack
作者： F. Diba , E. Esmailzadeh , D. Younesian
DOI: 10.1007/S11071-014-1595-7
关键词:
摘要: The four modes of vibration an isotropic rectangular plate with inclined crack are investigated. It is assumed that the remains continuous and its center located at plate. governing nonlinear equation transverse boundary conditions being simply-supported on all edges developed. multiple scale perturbation method utilized as solution procedure to find steady-state frequency response equations for vibration. free forced vibrations derived their responses presented. A special case large-scale excitation force has also been considered. parameter sensitivity analysis angle crack, length position external applied performed. shown according aspect ratio plate, can have either hardening effect or softening behavior.
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sci-hub.se 参考文章(29)
M. Krawczuk, Natural vibrations of rectangular plates with a through crack Archive of Applied Mechanics. ,vol. 63, pp. 491- 504 ,(1993) , 10.1007/BF00788047
Wieslaw Ostachowicz, Emil Manoach, Irina Trendafilova, Marek Krawczuk, Arkadiusz Zak, Matthew P. Cartmell, Asif Israr, Analytical modelling and vibration analysis of cracked rectangular plates with different loading and boundary conditions ,(2009)
O. A. Bauchau, J. I. Craig, Kirchhoff plate theory Structural Analysis Solid Mechanics and Its Applications Volume 163. pp. 819- 914 ,(2009) , 10.1007/978-90-481-2516-6_16
SPTS Woinowsky-Krieger, S Timoshenko, None, THEORY OF PLATES AND SHELLS Engineering Societies Monographs. ,(1959)
Rainah Ismail, Vibration analysis of a plate with an arbitrarily orientated surface crack Ph.D. Thesis. ,(2013)
James A. Murdock, Perturbations: Theory and Methods ,(1987)
'Alī Hasan Nā'ifa, Introduction to perturbation techniques ,(1981)
R. Ismail, M.P. Cartmell, An investigation into the vibration analysis of a plate with a surface crack of variable angular orientation Journal of Sound and Vibration. ,vol. 331, pp. 2929- 2948 ,(2012) , 10.1016/J.JSV.2012.02.011
J. R. Rice, N. Levy, The Part-Through Surface Crack in an Elastic Plate Journal of Applied Mechanics. ,vol. 39, pp. 185- 194 ,(1972) , 10.1115/1.3422609
MP Cartmell,, SW Ziegler,, R Khanin,, DIM Forehand, Multiple scales analyses of the dynamics of weakly nonlinear mechanical systems Applied Mechanics Reviews. ,vol. 56, pp. 455- 492 ,(2003) , 10.1115/1.1581884