Computational Technology Resources - CCP

L. Palermo Jr., "Free Vibrations considering the Effects of Shear Deformation and the Geometric Non-Linearity in Plate Bending", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 194, 2014. doi:10.4203/ccp.106.194

Keywords: Mindlin plates, geometric non-linearity, harmonic loads, eigenvalues, boundary element method..

Summary

An analysis on free vibration of plates taking into account the geometrical non linearity effect is carried out in this paper. The boundary element formulation used in an elasto-dynamic fundamental solution and the effects of the shear deformation and the rotatory inertia were considered in the plate behavior. The boundary integral equations included an additional domain integral to consider the geometric nonlinearity effect where in-plane forces were assumed invariant with time and the deflection derivatives dependent on the harmonic solution. The eigenvalue analysis was used to show the relation between maximum values for in-plane forces according to the frequency value. The basic inverse iteration method and the Rayleigh quotient were employed to compute the lowest eigenvalue. The results obtained were compared to available solutions in the literature to show the accuracy of the formulation.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £65 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 194 Free Vibrations considering the Effects of Shear Deformation and the Geometric Non-Linearity in Plate Bending L. Palermo Jr. Department of Structures, University of Campinas, Campinas, Brazil doi:10.4203/ccp.106.194 purchase the full-text of this paper Full Bibliographic Reference for this paper L. Palermo Jr., "Free Vibrations considering the Effects of Shear Deformation and the Geometric Non-Linearity in Plate Bending", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 194, 2014. doi:10.4203/ccp.106.194 Keywords: Mindlin plates, geometric non-linearity, harmonic loads, eigenvalues, boundary element method.. Summary An analysis on free vibration of plates taking into account the geometrical non linearity effect is carried out in this paper. The boundary element formulation used in an elasto-dynamic fundamental solution and the effects of the shear deformation and the rotatory inertia were considered in the plate behavior. The boundary integral equations included an additional domain integral to consider the geometric nonlinearity effect where in-plane forces were assumed invariant with time and the deflection derivatives dependent on the harmonic solution. The eigenvalue analysis was used to show the relation between maximum values for in-plane forces according to the frequency value. The basic inverse iteration method and the Rayleigh quotient were employed to compute the lowest eigenvalue. The results obtained were compared to available solutions in the literature to show the accuracy of the formulation. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions