Optimum Stiffness and Strength of Elastic Structures

摘要: Previously established principles of optimizing the stiffness elastic structures are confined mainly to cases (such as bars and trusses) in which strain energy density is linearly related design variable. This coverage extended broader classes well problem maximum strength. For fixed value objective function, criterion constant weighted fibers a necessary condition make stationary. Several exhibited for this also sufficient either global or minimum. Moreover, under certain (nontrivial) circumstances, same may be resistance against stress failure. The effect constraints, from above below, described. In addition, explicit methods investigating local optimality demonstrated, including singularities at point vanishing stress.