Structural Optimization: Fundamentals and Applications
"This book introduces the fundamental concepts and practical applications of modern structural optimization. It presents, in a unified approach, recent developments in the area. The text addresses both the student and the practising structural engineer. The book discusses in detail alternative problem formulations, the relative merits of different optimization methods and various considerations related to structural design. The emphasis throughout is on approximation concepts, which are essential for the solution of many practical design problems. It demonstrates how various formulations, methods and approximations are integrated to achieve effective design procedures. The advantages as well as the limitations of the different approaches are discussed and illustrated by numerous examples."--Back cover.
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algorithms analysis equations applied approach assumed basic feasible solution behavior binomial series calculated compatibility conditions compressive stresses considered convergence convex corresponding cross sections cross-sectional areas defined derivatives design procedures design space design variables direction displacement constraints efficient elements equality constraints equilibrium example feasible design feasible region geometrical variables geometry given homogeneous functions indeterminate structure inequality constraints initial design iteration Lagrange multipliers linear programming loading conditions lower bound LP problem LP solution minimum modified modulus of elasticity nonlinear programming nonnegative number of variables objective function obtained optimal design problem optimal solution optimal topologies optimization methods optimization problem penalty function plastic plastic analysis problem formulation quadratic quadratic function recurrence relation redundant forces satisfied scaling shown in Fig solution process solved statically determinate statically determinate structure step stiffness matrix stress constraints structural design structural optimization subproblems Substituting Taylor series Taylor series expansion truss shown vector