Uncertainty analysis of the energy absorbed in beam and plate elements under impulsive loading

摘要

This paper presents an uncertainty analysis of beam and plate elements subjected to impulsive pressure loading. The limit state considered is that the maximum permanent deflection induced by the impulsive loading is limited to a critical deflection avoiding the severe reduction of the buckling collapse strength of structures. The deflection limitation is assumed as one-tenth of the structural length. Here, the boundary condition of beams and plates is considered to lie between the simply supported and the fully clamped conditions. Thus, the theoretical approach including uncertain boundary condition is used to analyse the uncertainty of the beam and plate energy absorbing abilities. Monte Carlo simulation is applied to predict the failure probability of beam and plate elements. Moreover, a sensitivity analysis is conducted to analyse the importance of variables included in the limit state function of beam and plate elements using the first-order second-moment method.