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Optimization of Structures for Strength and Stability Requirements.
Final rept. Jun 72-Apr 73,
AIR FORCE FLIGHT DYNAMICS LAB WRIGHT-PATTERSON AFB OHIO
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An optimization method for minimum weight design of structures with static stability requirements is presented. The stability requirement is defined as a stiffness constraint and it is measured by the Rayleigh quotient. An optimality criterion is derived by the minimization procedure using a Lagrangian multiplier. A recursion relation for achieving the optimality ciriterion is also derived. The method is explained in the context of the displacement method of finite element analysis and the linear buckling load is determined by eigenvalue solution. The method is programmed for design of bar and beam structures. Designs are presented for columns with various end fixities, rectangular frames, and two and three dimensional bar structures. The proposed method is suitable for designing practical structures with a large number of design variables. Author
APPROVED FOR PUBLIC RELEASE