Sensitivity and Correlation Analysis of Double-Layer Cylindrical Reticulated Shell considering Several Performance Functions

Abstract

Reliability, sensitivity between random variables and response, and correlation between responses of double-layer cylindrical reticulated shells with three different span-to-rise ratios are deeply investigated, furthermore the effects of different kinds of random variables and different positions of random variables on reliability and sensitivity between random variable and response are also investigated in details. Cross-sectional area, yielding strength and modulus of elasticity of members and external vertical load are defined as one or more random variables respectively according to their layouts in the reticulated shells, and their effects on sensitivity are substantially carried out. Subsequently, two cases in all are taken into account based on the different classification of random variables. Three performance functions, e.g., the maximal deflection, the total plastic strain energy, the number of yielding members, are taken into consideration for two cases, and correlations among the above performance functions are investigated.