Inverse Problem of Structural Optimization

by Jasbir S. Arora, Asst. Prof.; Div. of Materials Engrg., Coll. of Engrg., Univ. of Iowa, Iowa City, IA,

Serial Information: Journal of the Structural Division, 1974, Vol. 100, Issue 11, Pg. 2355-2360

Document Type: Journal Paper


In this technical note, an inverse problem of structural optimization is considered. The problem is motivated by many real-world situations and is stated as: Given a structure, how much load can this structure support safely? A mathematical programming problem that answers this question is presented for general trusses and is applied to a damaged 25-member transmission tower. The problem considered is how to maximize the loads that a given truss may support, subject to the requirements that it satisfy equations of equilibrium and compatibility, stress, displacement, and buckling constraints. The mathematical program shows how to redistribute the loads of a damaged structure so that it may be put to some other use.

Subject Headings: Structural safety | Load factors | Mathematics | Trusses | Damage (structural) | Motivation | Support structures | Computer programming

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