In this paper, the effect of material and thickness spatial variation on the buckling load of isotropic shells with random initial geometric imperfections is investigated. To this purpose, a random spatial variability of the elastic modulus as well as of the thickness of the shell is introduced in a
Response variability of cylindrical shells with stochastic non-Gaussian material and geometric properties
โ Scribed by George Stefanou
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 886 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0141-0296
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โฆ Synopsis
design a b s t r a c t In this paper, the effect of combined uncertain material (Young's modulus, Poisson's ratio) and geometric (thickness) properties on the response variability of cylindrical shells is investigated taking into account various non-Gaussian assumptions for the uncertain parameters. These parameters are described by twodimensional univariate homogeneous non-Gaussian stochastic fields using the spectral representation method in conjunction with translation field theory. The response variability is computed by means of direct Monte Carlo simulation (MCS). It is shown that the marginal probability distribution and the correlation scale of the stochastic fields used for the description of the material and thickness variability affect significantly the shell response statistics.
๐ SIMILAR VOLUMES
An asymptotic spectral stochastic approach is presented for computing the statistics of the equilibrium path in the post-bifurcation regime for structural systems with random material properties. The approach combines numerical implementation of Koiter's asymptotic theory with a stochastic Galerkin