Optimum Structural Design: Concepts, Methods, and Applications |
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Page 14
... Feasible region 1.0 1.5 Χι Figure 2-2 Design space , three - bar truss . sense that it cuts the space into two ... feasible designs form the feasible region . The portions of the respective constraint surfaces that bound the feasible ...
... Feasible region 1.0 1.5 Χι Figure 2-2 Design space , three - bar truss . sense that it cuts the space into two ... feasible designs form the feasible region . The portions of the respective constraint surfaces that bound the feasible ...
Page 171
... feasible region . X1 a move as possible without violating the constraints . In general , we take a trial step a and check the constraints ; if they are in violation we reduce a and check again ; if the check point is inside the feasible ...
... feasible region . X1 a move as possible without violating the constraints . In general , we take a trial step a and check the constraints ; if they are in violation we reduce a and check again ; if the check point is inside the feasible ...
Page 189
... feasible region . Thus a series of linear programs with progressively smaller feasible regions are solved until a point { X } obtained from one of these problems satisfies Eq . ( 9-47 ) , at which stage the algorithm terminates . This ...
... feasible region . Thus a series of linear programs with progressively smaller feasible regions are solved until a point { X } obtained from one of these problems satisfies Eq . ( 9-47 ) , at which stage the algorithm terminates . This ...
Contents
General Formulation of Optimal Design | 6 |
Approaches to Structural Design | 23 |
Structural Analysis | 31 |
Copyright | |
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Common terms and phrases
active constraints algorithm analysis equations approach approximate assumed basic feasible solution beam coefficients considered constant constraints of Eq convergence convex coordinates corresponding cross section cross-sectional areas d₁ d₂ defined derivatives design space design variables displacement constraints displacement method displacement vector elastic elements equality constraints feasible region Figure forces formulation fully stressed design geometric programming given global optimum iteration Lagrange multipliers linear programming loading conditions LP problem mathematical programming minimization modified nonlinear programming nonnegative number of variables objective function obtained optimal design problem optimal solution optimality criteria optimum parameters plastic analysis posynomial prestressing problem of Eqs procedure programming problem reanalysis recurrence relations redesign redundants represent S₁ S₂ satisfied shown in Fig solved statically statically determinate stiffness matrix stress constraints Structural Design Substituting Eq substructure Taylor series three-bar truss tion truss vector X₁ X₂ Y₁ Y₂