Engineering Optimization · 1976 · 47 citations · 7 references
EngineeringCivil EngineeringDesignDesign OptimizationOptimizationStructural EngineeringBuckling AnalysisOptimization-based DesignStructural DesignStructural MechanicsStructural OptimizationStructural SystemsBuckling-constrained OptimizationFrequency-constrained OptimizationMulti-objective Structural OptimizationNatural Frequency AnalysisSteepest DescentStress OptimizationStress-constrained Optimization
In this paper, a new class of structural design problems is defined. The problem is to design a structure that is safe, even after certain damage conditions are imposed. A generalized steepest descent algorithm is developed for solution of this class of problems. The algorithm is used to optimize a three member, a four member and a seventy-two member structure under stress, displacement, buckling, natural frequency, and design [vdot]ariable constraints and subjected to multiple loading conditions.
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Theory of matrix structural analysis
M. Petyt · Journal of Sound and Vibration · 1969 · 1.2K citations
Leonard Spunt · Medical Entomology and Zoology · 1971 · 387 citations
J.S. Meditch · IEEE Transactions on Automatic Control · 1972 · 384 citations