Stochastic Sensitivity Analysis of Cylindrical Shell

Abstract The paper deals with some chosen aspects of stochastic sensitivity structural analysis and its application in the engineering practice. The main aim of the study is to provide the generalized stochastic perturbation technique based on classical Taylor expansion with a single random variable. The study is illustrated by numerical results concerning an industrial thin shell structure modeled as a 3-D structure.

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Stochastic Analysis of Cylindrical Shell

Transactions of the VŠB - Technical University of Ostrava Civil Engineering Series ◽

10.2478/tvsb-2014-0005 ◽

2014 ◽

Vol 14 (1) ◽

pp. 38-41

Author(s):

Maksym Grzywiński ◽

Iwona Pokorska

Keyword(s):

Cylindrical Shell ◽

Structural Analysis ◽

Stochastic Analysis ◽

Thin Shell ◽

Taylor Expansion ◽

Stochastic Perturbation ◽

Random Variable ◽

Engineering Practice ◽

Perturbation Techniques ◽

Stochastic Problems

Abstract The paper deals with some chosen aspects of stochastic structural analysis and its application in the engineering practice. The main aim of the study is to apply the generalized stochastic perturbation techniques based on classical Taylor expansion with a single random variable for solution of stochastic problems in structural mechanics. The study is illustrated by numerical results concerning an industrial thin shell structure modeled as a 3-D structure.

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Vibrations And Deformations Of Moderately Thick Plates In Stochastic Finite Element Method

Transactions of the VŠB - Technical University of Ostrava Civil Engineering Series ◽

10.1515/tvsb-2015-0007 ◽

2015 ◽

Vol 15 (2) ◽

Author(s):

Maksym Grzywiński ◽

Iwona Pokorska ◽

Mariusz Poński

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Perturbation Technique ◽

Stochastic Perturbation ◽

Random Variable ◽

Dynamical Analysis ◽

Thick Plates ◽

Moderately Thick Plates ◽

Stochastic Perturbation Technique ◽

Element Method

Abstract The paper deals with some chosen aspects of stochastic dynamical analysis of moderately thick plates. The discretization of the governing equations is described by the finite element method. The main aim of the study is to provide the generalized stochastic perturbation technique based on classical Taylor expansion with a single random variable.

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Probabilistic analysis of random nonlinear oscillators subject to small perturbations via probability density functions: theory and computing

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01672-w ◽

2021 ◽

Vol 136 (7) ◽

Author(s):

Juan-Carlos Cortés ◽

Elena López-Navarro ◽

José-Vicente Romero ◽

María-Dolores Roselló

Keyword(s):

Steady State ◽

Probability Density ◽

Perturbation Technique ◽

Stochastic Perturbation ◽

Random Variable ◽

Spectral Functions ◽

Power Spectral ◽

Stochastic Perturbation Technique ◽

Stochastic Perturbation Method ◽

Gaussian Stochastic Processes

AbstractWe study a class of single-degree-of-freedom oscillators whose restoring function is affected by small nonlinearities and excited by stationary Gaussian stochastic processes. We obtain, via the stochastic perturbation technique, approximations of the main statistics of the steady state, which is a random variable, including the first moments, and the correlation and power spectral functions. Additionally, we combine this key information with the principle of maximum entropy to construct approximations of the probability density function of the steady state. We include two numerical examples where the advantages and limitations of the stochastic perturbation method are discussed with regard to certain general properties that must be preserved.

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