ESCHENAUER*OPTIMIZATION METH., IN STRUCTURAL DESIGNESCHENAUER, Niels Olhoff |
Contents
Welcome Address | 25 |
F Niordson | 275 |
Nonlinear Optimization | 350 |
Copyright | |
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A₁ adjoint algorithm analysis applied approach approximation arch assumed bars beam bimodal boundary conditions buckling calculated colloquium column considered constant convergence corresponding cost function cross-sectional area defined deflection deformation denotes derivatives design problem design space design variables displacement dual eigenvalue elastic Engineering equations Eschenauer/Olhoff example fibre finite element Finite Element Method forces formulation frequency given gradient iteration Lagrange multiplier limit linear linear programming load lower bound material mathematical matrix maximum Mech Mechanics min-max minimize nonlinear programming objective function obtained Olhoff optimal control optimal design optimal shape optimality conditions optimization problem parameters plastic plate procedure quadratic respect Schittkowski shape optimization shell Siegen solved static stiffness stress constraints stress ratio method Struct structural optimization subproblem Technical University theory thickness tion truss University of Siegen values variation vector vibration viscoelastic volume W₁