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- W2024353953 abstract "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." @default.
- W2024353953 created "2016-06-24" @default.
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- W2024353953 date "2011-01-01" @default.
- W2024353953 modified "2023-09-27" @default.
- W2024353953 title "A New Approach for Deriving the Instability Potential for Plates Based on Rigid Body and Force Equilibrium Considerations" @default.
- W2024353953 cites W2018812114 @default.
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- W2024353953 doi "https://doi.org/10.1016/j.proeng.2011.07.002" @default.
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