Elastic Analysis with Indeterminate Boundary Conditions

by Antone F. Sayegh, Sr. Engr.; C. F. Braun and Co., Alhambra, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1974, Vol. 100, Issue 1, Pg. 49-62

Document Type: Journal Paper


Elastic analysis of structures with boundary conditions where each may assume either of two configurations is considered. A trial and error approach is shown to be unreliable. It is proved that the principles of minimum potential energy and minimum complementary potential can be generalized to account for this type of boundary condition. These generalizations are used to formulate the analysis as a nonlinear programming problem in general, and as a quadratic programming problem for a linear material. Numerical examples of simple structures illustrate this approach.

Subject Headings: Elastic analysis | Boundary conditions | Linear analysis | Computer programming | Nonlinear analysis | Numerical analysis | Numerical methods

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