A polynomial expansion approach for response analysis of periodical composite structural-acoustic problems with multi-scale mixed aleatory and epistemic uncertainties

DOI10.1016/j.cma.2018.08.021zbMath1440.74020OpenAlexW2888340317MaRDI QIDQ1986407

Dejie Yu, Yingbin Hu, Jian Liu, Ning Chen, Michael A. Beer

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.08.021

zbMATH Keywords

epistemic uncertaintyhomogenization methodaleatory uncertaintyGegenbauer series expansionmulti-scale uncertaintyperiodical composite structural-acoustic system

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Interval and finite arithmetic (65G30) Random materials and composite materials (74A40) Hydro- and aero-acoustics (76Q05)

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Cites Work

• A Chebyshev interval method for nonlinear dynamic systems under uncertainty
• Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
• Interval analysis of structures with uncertain-but-bounded axial stiffness
• The stochastic finite element method: past, present and future
• A generalized stochastic perturbation technique for plasticity problems
• Generating optimal topologies in structural design using a homogenization method
• Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
• A novel interval finite element method based on the improved interval analysis
• A new evidence-theory-based method for response analysis of acoustic system with epistemic uncertainty by using Jacobi expansion
• Perturbation-based stochastic FE analysis and robust design of inelastic deformation processes
• Interval and random analysis for structure-acoustic systems with large uncertain-but-bounded parameters
• Topology optimization with geometric uncertainties by perturbation techniques
• An interval random perturbation method for structural-acoustic system with hybrid uncertain parameters
• Nonprobabilistic, convex-theoretic modeling of scatter in material properties
• Analysis of Uncertain Structural Systems Using Interval Analysis
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
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