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GEOMETRIC PROGRAMMING WITH EQUALITY CONSTRAINTS
DECOMPOSITION AND REDUCTION TECHNIQUES FOR LARGE
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25-Member Truss alternative loads analysis equations applied Area of bar Area of Members bar element Bar Truss Example base vectors basis reduction considered convergence coordinate system coordinating constraints coordinating variables corresponding CYCLE NO Fig Cyclic Iteration History design areas design shape variables developed displacement limit dual Engineering equality constraints Example 2 Algorithm Example 2,Three Bar feasible final design finite element first-level formulation Function for Subproblem geometric program global coordinate system global optimization global solution goal coordination method governed by load inequality constraints initial design initial relaxation integrated optimum structural linear program load condition Minimize minimum design move coordination method multilevel nodal displacements node nonlinear programming objective function obtained optimization problem optimum region optimum structural design posynomial reduced response variables Schmit solve the following stiffness equation straints stress in bar structural design variables structural optimization subsystem Table technique Three Bar Truss tion values variable linking