Improved Methods for Large Scale Structural Synthesis.
SOUTHEASTERN CENTER FOR ELECTRICAL ENGINEERING EDUCATION INC ST CLOUD FL
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This report describes two potential improvements in techniques for large scale structural synthesis. One involves a method for control of oscillation found to occur in many optimization procedures. The other is a new primal mathematical programming algorithm. The central idea for oscillation control is the use of the gradients of a potentially active constraint set to prevent serious violation of one of the set when a move is made considering only the active constraints. The mathematical programming procedure uses an improved feasible direction finding formulation. Results of numerical experiments using these methods on two classical ten bar truss examples are very encouraging. Serious oscillations found to occur in some optimality criteria procedures were eliminated in all cases tested. The mathematical programming method was found to be comparable in effectiveness to the optimality criteria procedures on these problems. Further research is required to refine these methods and substantiate the initial successes. Author
- Theoretical Mathematics
- Structural Engineering and Building Technology