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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/32138

Title: A New Approach for Deriving the Instability Potential for Plates Based on Rigid Body and Force Equilibrium Considerations
Authors: Yang Y.B.;Kuo S.R.
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Geometric nonlinearity;Instability potential;Plate;Postbuckling;Rigid body rule
Date: 2011-01
Issue Date: 2012-06-15T07:29:52Z
Publisher: 12th East Asia-Pacific Conf. on Struct. Eng. & Construction
Abstract: A new method is proposed for deriving the instability potential of plates based on the rigid body and force equilibrium considerations using the updated Lagrangian formulation. By starting from the rigid body rule, the virtual instability potential is derived for an initially stressed thin plate under real rigid displacements. Next, by utilizing the equilibrium equations for the boundary forces acting on the plate at the C1 and C2 states, another virtual instability potential is derived for the plate under virtual rigid displacements. Finally, by comparing the two sets of virtual instability potential for real and virtual rigid displacements, the total instability potential is derived. The present approach is advantageous in that only simple integrations and analogical comparison of related virtual work terms are required, thereby avoiding the physically unapparent, complicated mathematical derivations involved in conventional procedures. Examples are prepared to demonstrate the applicability of the theory to the postbuckling analysis of various structures.
Relation: 14, pp.14–22
URI: http://ntour.ntou.edu.tw/handle/987654321/32138
Appears in Collections:[河海工程學系] 演講及研討會

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