Treatment of General Boundary Conditions and Point-Wise State Variable Constraints in Optimum Design for Static and Dynamic Response

摘要

Design sensitivity analyses are presented with general boundary conditions for static response problems and for linear dynamic problems. Difficulties in treating equivalent functional constraints for the point-wise state variable constraints are noted, and ideas for handling such constraints are suggested. An optimization of general response problems is provided, with the worst-case design formulation and the hybrid formulation for the point-wise state variable constraints. The treatment of point-wise state variable constraints in distributed parameter problems is discussed. It is concluded that the worse-case design formulation works well as precise optimum designs are obtained and the new hybrid formulation works efficiently, converging to either optimal or near optimal solutions without any difficulty. A literature review is included.