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General Formulation of Optimal Design
Approaches to Structural Design
11 other sections not shown
active constraints algorithm analysis equations application approach approximate assumed beam behavior constraints buckling coefficients configuration considered constant constraints of Eq convergence convex corresponding cost cross section cross-sectional areas defined derivatives design space design variables discussed in Sec displacement constraints displacement method displacement vector dual efficient elements ELPP equality constraints expressed feasible region formulation fully stressed design geometric programming given global optimum independent inverse iteration Lagrange multipliers limits linear programming lower bound LP problem mathematical programming minimization modulus of elasticity nonlinear programming nonnegative number of variables objective function obtained optimal design problem optimal solution optimality criteria optimization problem optimum parameters penalty function plastic analysis posynomial problem of Eqs procedure recurrence relations redundants represent result satisfied shown in Fig solved stage statically statically determinate stiffness matrix straints stress constraints structural design subproblems Substituting Eq substructure Taylor series three-bar truss tion truss example value problem vector