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R.M.L.R.F. Brasil, P.M. Pimenta and P. Goldenberg

Department of Structural and Foundation Engineering, University of Sao Paulo, Sao Paulo, Brazil

doi:10.4203/ccp.42.7.2

R.M.L.R.F. Brasil, P.M. Pimenta, P. Goldenberg, "Localization of Vibration and Buckling Modes in Periodic Structures of Nonlinear Behaviour Due to Slightly Disordered Loading", in B.H.V. Topping, (Editor), "Advances in Computational Methods for Simulation", Civil-Comp Press, Edinburgh, UK, pp 233-238, 1996. doi:10.4203/ccp.42.7.2

Abstract

This paper discusses the influence of slightly disordered geometric characteristics or static loading on the dynamics and stability of lightly coupled periodic structural systems of geometrically nonlinear behavior and linear elastic materials. A Lagrangian formulation, suitable to general FE modeling, is applied to a nonlinear Bernoulli-Euler beam element. The ANDROS FEM program, developed by the first author, is successfully used in several nonlinear analyses of lightly coupled periodic continuous beams to consider the effect that these small disorders may have upon their free vibration and buckling modes. It is shown that the tangent stiffness matrix of the incremental formulation should be used in the resultant eingenvalue problem. Both axial and transversal forces seem to have strong influence. It is suggested that the localization phenomenon may be used for passive structural control.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 42 ADVANCES IN COMPUTATIONAL METHODS FOR SIMULATION Edited by: B.H.V. Topping Paper VII.2 Localization of Vibration and Buckling Modes in Periodic Structures of Nonlinear Behaviour Due to Slightly Disordered Loading R.M.L.R.F. Brasil, P.M. Pimenta and P. Goldenberg Department of Structural and Foundation Engineering, University of Sao Paulo, Sao Paulo, Brazil doi:10.4203/ccp.42.7.2 purchase the full-text of this paper Full Bibliographic Reference for this paper R.M.L.R.F. Brasil, P.M. Pimenta, P. Goldenberg, "Localization of Vibration and Buckling Modes in Periodic Structures of Nonlinear Behaviour Due to Slightly Disordered Loading", in B.H.V. Topping, (Editor), "Advances in Computational Methods for Simulation", Civil-Comp Press, Edinburgh, UK, pp 233-238, 1996. doi:10.4203/ccp.42.7.2 Abstract This paper discusses the influence of slightly disordered geometric characteristics or static loading on the dynamics and stability of lightly coupled periodic structural systems of geometrically nonlinear behavior and linear elastic materials. A Lagrangian formulation, suitable to general FE modeling, is applied to a nonlinear Bernoulli-Euler beam element. The ANDROS FEM program, developed by the first author, is successfully used in several nonlinear analyses of lightly coupled periodic continuous beams to consider the effect that these small disorders may have upon their free vibration and buckling modes. It is shown that the tangent stiffness matrix of the incremental formulation should be used in the resultant eingenvalue problem. Both axial and transversal forces seem to have strong influence. It is suggested that the localization phenomenon may be used for passive structural control. 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 £66 +P&P)
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