SUMMARYThis paper considers the problem of solving the optimality criteria equations for a truss structure. A unique Newton-Raphson method for optimizing redundant structures subject to multiple constraints on displacement and member sizes is presented. Both equality and inequality constraints are considered. The characteristics of this approach along with least squares and recursive techniques for the solution of the non-linear optimality criteria equations are examined numerically for several sample problems. This new formulation offers the advantages of a reduction in the number of dependent variables, ease of incorporation of various types of constraints, and very rapid convergence.
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