Journal of Structural Mechanics · 1985 · 59 citations · 5 references
EngineeringMechanical EngineeringDesign OptimizationStructural AnalysisStructural EngineeringBeam AnalysisBeam TheoryBending Of BeamsDeflection Of BeamsNonlinear Structural AnalysisStructural MechanicsAdjoint FormulationBeam DesignNonlinear Beam AnalysisNonlinear Beam TheoryOptimal DesignOptimality ConditionsStress Distribution In BeamsStress-constrained Optimization
ABSTRACT A uniform formulation of sensitivity analysis for beams and plates is presented in terms of generalized stresses and strains. Both physical and geometric nonlinearities can be treated within this formulation. Next, optimal design problems for stress and deflection constraints are formulated and the relevant optimality conditions are derived using the concept of a linear adjoint structure. Finally, several numerical solutions of optimal design problems of beams are presented.
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