A Non-Intrusive Stochastic Isogeometric Analysis of Functionally Graded Plates with Material Uncertainty

被引：14

作者：

Dsouza, Shaima M. ^{[1
]}

Varghese, Tittu Mathew ^{[1
]}

Budarapu, P. R. ^{[2
]}

Natarajan, S. ^{[1
]}

机构：

[1] Indian Inst Technol Madras, Dept Mech Engn, Chennai 600036, Tamil Nadu, India

[2] Indian Inst Technol Bhubaneshwar, Sch Mech Sci, Bhubaneswar 752050, Odisha, India

来源：

AXIOMS | 2020年 / 9卷 / 03期

关键词：

uncertainty; Monte Carlo simulations; non-intrusive; isogeometric analysis; polynomial chaos expansion; FINITE-ELEMENT-ANALYSIS; FREE-VIBRATION ANALYSIS; STABILITY;

D O I：

10.3390/axioms9030092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A non-intrusive approach coupled with non-uniform rational B-splines based isogeometric finite element method is proposed here. The developed methodology was employed to study the stochastic static bending and free vibration characteristics of functionally graded material plates with inhered material randomness. A first order shear deformation theory with an artificial shear correction factor was used for spatial discretization. The output randomness is represented by polynomial chaos expansion. The robustness and accuracy of the framework were demonstrated by comparing the results with Monte Carlo simulations. A systematic parametric study was carried out to bring out the sensitivity of the input randomness on the stochastic output response using Sobol' indices. Functionally graded plates made up of Aluminium (Al) and Zirconium Oxide (ZrO2) were considered in all the numerical examples.

引用

页数：19

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