Computational Technology Resources - CCP

A.N. Kounadis, "Qualitative Criteria in Nonlinear Dynamic Buckling and Stability of Autonomous Dissipative Systems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 77-82, 1994. doi:10.4203/ccp.26.3.1

Abstract

A general qualitative approach for the dynamic Buckling and Stability of autonomous dissipative structural systems is comprehensively presented. Using the theory of local and global bifurcations, of the Jacobian eigenvalues, of point and periodic attractors, of the basin of attraction and of the inset and outset manifolds, the mechanism of dynamic buckling is thoroughly discussed. This allows us to establish useful criteria leading to exact and upper/lower bound buckling estimates without integrating the highly nonlinear initial-value problem. A comparison of the results of the above qualitative analysis with those obtained via numerical simulation and an approximate analytic technique, is performed on two simple of engineering importance models.

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 £70 +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: 26 ADVANCES IN COMPUTATIONAL MECHANICS Edited by: M. Papadrakakis and B.H.V. Topping Paper III.1 Qualitative Criteria in Nonlinear Dynamic Buckling and Stability of Autonomous Dissipative Systems A.N. Kounadis Department of Civil Engineering, National Technical University of Athens, Athens, Greece doi:10.4203/ccp.26.3.1 purchase the full-text of this paper Full Bibliographic Reference for this paper A.N. Kounadis, "Qualitative Criteria in Nonlinear Dynamic Buckling and Stability of Autonomous Dissipative Systems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 77-82, 1994. doi:10.4203/ccp.26.3.1 Abstract A general qualitative approach for the dynamic Buckling and Stability of autonomous dissipative structural systems is comprehensively presented. Using the theory of local and global bifurcations, of the Jacobian eigenvalues, of point and periodic attractors, of the basin of attraction and of the inset and outset manifolds, the mechanism of dynamic buckling is thoroughly discussed. This allows us to establish useful criteria leading to exact and upper/lower bound buckling estimates without integrating the highly nonlinear initial-value problem. A comparison of the results of the above qualitative analysis with those obtained via numerical simulation and an approximate analytic technique, is performed on two simple of engineering importance models. 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 £70 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions