Minimum Weight Design of Beams With Inequality Constraints on Stress and Deflection
- 1 December 1967
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 34 (4) , 999-1004
- https://doi.org/10.1115/1.3607869
Abstract
A nonlinear optimal design problem, with state variable inequality constraints, is solved. The problem is reduced to a Lagrange problem in the Calculus of Variations and necessary conditions are presented. For a certain class of problems, the necessary conditions are reduced to a system of nonlinear algebraic equations which are solved by an iterative procedure. The computational algorithm is efficient and is easily programmed for use on a digital computer.Keywords
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