Optimum Design of Structures: With Special Reference to Alternative Loads Using Geometric Programming |
Contents
INTRODUCTION | 1 |
GEOMETRIC PROGRAMMING WITH EQUALITY CONSTRAINTS | 36 |
PARALLEL DECOMPOSITION FOR ALTERNATIVE LOADS | 61 |
Copyright | |
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12 CYCLE 20 CYCLE 25-Member Truss algorithm b opt alternative loads analysis equations Area of bar Area of Members area w/o decomposition BAR 1 in² bar element Bar Truss Example base vectors basis reduction coordinating constraints coordinating variables coordination algorithm cross-sectional areas CYCLE NO 16 CYCLE NO Fig Cyclic Iteration History design areas design shape variables developed equality constraints Example 1 Algorithm feasible final design first-level problem formulation fully stressed Function for Subproblem geometric program global coordinate system global solution goal coordination method in³ inequality constraints initial design initial relaxation integrated optimum structural linear program load condition Minimize move coordination method multilevel nodal displacements node objective function obtained optimization problem optimum structural design posynomial reduced response variables Schmit second level solve the following stiffness equation straints structural design variables subproblem 2 opt subsystem technique Ten Bar Truss Three Bar Truss tion variable linking w/o decomposition AREA