Modified interior penalty algorithm for the optimization of structures subjected to multiple independent load cases
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abstract
Structural optimization using numerical techniques like mathematical programming and optimality criteria methods, has been a subject of challenging research for many years. Many algorithms currently in use consider the minimum weight design of a structure for a single loading case. In contrast, real life structural design problems often require consideration of a number of independent severe load cases, each of which could induce radically different types of structural behavior during the lifetime of the structure. We present an algorithm which will optimize the design of such a structure subjected to multiple independent load cases. The new technique is based upon a modified penalty function method and treats all the load cases simultaneously during its search for the optimum design. This has been achieved by transforming the multiple load case optimization problem into an equivalent single load case problem via a "pseudo-constraint" vector approach. The algorithm has been validated by successfully optimizing the design of a nonprismatic beam structure and a fiber reinforced composite laminate for multiple independent loading conditions. 1997 Elsevier Science Ltd.
