Optimization of multi-constrained structures based on optimality criteriaA weight-reduction algorithm is developed for the optimal design of structures subject to several multibehavioral inequality constraints. The structural weight is considered to depend linearly on the design variables. The algorithm incorporates a simple recursion formula derived from the Kuhn-Tucker necessary conditions for optimality, associated with a procedure to delete nonactive constraints based on the Gauss-Seidel iterative method for linear systems. A number of example problems is studied, including typical truss structures and simplified wings subject to static loads and with constraints imposed on stresses and displacements. For one of the latter structures, constraints on the fundamental natural frequency and flutter speed are also imposed. The results obtained show that the method is fast, efficient, and general when compared to other competing techniques. Extensions to the generality of the method to include equality constraints and nonlinear merit functions is discussed.
Document ID
19760047085
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Rizzi, P.
Date Acquired
August 8, 2013
Publication Date
January 1, 1976
Subject Category
Structural Mechanics
Meeting Information
Meeting: Structures, Structural Dynamics, and Materials Conference