Application of Linear Goal Programming to Large Scale Nonlinear Structural Optimization

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This paper presents a method to apply the linear goal programming, which has rarely been used to
the structural opimization problem due to its unique formulation, to large scale nonlinear structural
optimization. The method can be USl:? as a multicriteria optimization t��1 since goal programming removes
the difficulty in defining an objective function ?ld constraints.
The method u?5 the finite element analysis, ?lear go? pr?~amming techniques and s��cessive linearization
to obtain the ��lution for the nonlinear goal optimization problems. The general formulation of the structural optimization problem into a nonlinear goal pr'?;:-ramming form is presented. The su��-
?sive linearization method for the nonlinear goal optirnization problem is dis��S?d. To demonstrate the
validity of the method, as a design t��?�� the minimum weight structural optirnization problems with
stress constraints are solved for the ca?s of 10, 25 and 200 trus?s and compared with the results of
the other works.