OPTIMAL DESIGN OF ELASTIC STRUCTURES FOR MAXIMUM STIFFNESS.
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES
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The purpose the paper was to establish a general theory of optimal design of elastic structures such that the structure with a given volume would have maximum stiffness. A sufficient condition of optimality was derived from the principle of minimum potential energy. This optimality condition was proven by the variational method to be a necessary one under the condition that the optimal structure has certain continuity and differentiability properties. Physical interpretations of the optimality condition were discussed for problems of beams, plates and trusses. An application of the theory was illustrated in a problem of optimal design of a simply supported circular plate under uniform pressure. Detailed description of the numerical procedure for the solution of the plate problem was presented. Author
- Structural Engineering and Building Technology