A computationally efficient method for the buckling analysis of shells with stochastic imperfections

• Published in: Computational mechanics Vol. 43; no. 5; pp. 687 - 700
• Main Authors: Papadopoulos, Vissarion, Charmpis, Dimos C., Papadrakakis, Manolis
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.04.2009; Springer Nature B.V
• Subjects: Buckling; Classical and Continuum Physics; Computational efficiency; Computational Science and Engineering; Conjugate gradient method; Defects; Engineering; Fields (mathematics); Finite element method; Limit load; Modulus of elasticity; Original Paper; Quotients; Shells; Stochastic processes; Theoretical and Applied Mechanics; Random imperfections; Stochastic finite element; Preconditioned Conjugate Gradient method; Buckling analysis of shells; Random eigenvalues

A computationally efficient method is presented for the buckling analysis of shells with random imperfections, based on a linearized buckling approximation of the limit load of the shell. A Stochastic Finite Element Method approach is used for the analysis of the “imperfect” shell structure involvin...