Hybrid Optimization of Truss Structures with Strength and Buckling Constraints,
STANFORD UNIV CA DEPT OF AERONAUTICS AND ASTRONAUTICS
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The problem of minimum weight truss layout is studied via a feasible usable search direction algorithm. For specific material allowable stresses in tension and compression, constraints on strength and stability are imposed. The idea of folding several constraints into a single cumulative measure of design specification violation is used. In addition to fixed geometry, node location movement is permitted through addition of design variables. Contrary to the usual practice of using uniform-cross-section members for all elements of the truss, optimally tapered bars are adopted for those elements sized by an Euler buckling criterion. Such tapered sections are obtained through a closed-form solution resulting from the application of a distributed parameter method and incorporated in the solution process via preprocessors. Significant weight savings are demonstrated.