Optimal Structural Design and the General Eigenproblem.
GEORGE WASHINGTON UNIV WASHINGTON D C INST FOR MANAGEMENT SCIENCE AND ENGINEERING
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This report summarizes findings in developing a procedure for solving a class of optimal structural design nonlinear programming problems which require the calculation of the minimum eigenvalue of a general eigenproblem to evaluate certain constraints. Eigenproblem solution methods tested were the power method, a conjugate gradient method and a complete solution method based on deriving the involved stiffness matrices as sums of outer products of vectors and exploiting this decomposition in an iterative technique. Drawbacks of the various techniques are indicated and an unsuccessful attempt to use a well-known nonlinear programming algorithm SUMT in conjunction with the power method is described. Obstacles to efficient procedures are indicated. Author