Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · 2005 · 18 citations · 27 references
ArchitectureMathematicsDesign OptimizationOptimizationUncertainty QuantificationOptimization-based DesignReliabilityReliability ModelingReliability-based DesignRobust Design OptimizationRobust OptimizationCoil DesignEdgeworth ExpansionsReliability OptimizationReliability Sensitivity AnalysisReliability-based Design Sensitivity AnalysisReliability-driven Design OptimizationRobust DesignRobust Design Solutions
This paper proposes the application of reliability-based optimization and robust design methods of a coil tube-spring. The perturbation method, the Edgeworth series, the reliability-based optimization, the reliability sensitivity technique, and the robust design method are employed to present practical and effective approaches of reliability-based optimization and robust design for coil tube-spring with non-normal distribution parameters, on the condition of the known first four moments of the original random variables. Theoretical formulae for reliability-based optimization and robust design are obtained. The respective programmes can be used to obtain the reliability-based optimization and robust design parameters of a coil tube-spring with non-normal distribution parameters accurately and quickly.
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Mathematical Methods of Statistics.
R. C. Geary, H. Leslie Cramer · The Economic Journal · 1947 · 6K citations
Hid N. Grouni · Canadian Journal of Civil Engineering · 1986 · 951 citations