A sparse polynomial surrogate model for phononic crystals with uncertain parameters

DOI10.1016/j.cma.2018.05.001zbMath1440.74097OpenAlexW2803150569WikidataQ129780486 ScholiaQ129780486MaRDI QIDQ1986275

Jian Liu, Junhuang Chen, Baizhan Xia

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.2018.05.001

zbMATH Keywords

Gegenbauer polynomialband structurephononic crystalinterval modelrandom modelhybrid uncertain model

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Crystalline structure (74E15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Fuzzy identification of dynamic loads in presence of structural epistemic uncertainties ⋮ Machine learning aided stochastic elastoplastic analysis ⋮ A novel method to study the phononic crystals with fluid-structure interaction and hybrid uncertainty ⋮ Spectral stochastic isogeometric analysis for linear stability analysis of plate

Cites Work

• Unnamed Item
• Exploratory designs for computational experiments
• Solving a laminar boundary layer equation with the rational Gegenbauer functions
• A Chebyshev interval method for nonlinear dynamic systems under uncertainty
• Hybrid uncertain analysis of acoustic field with interval random parameters
• The stochastic finite element method: past, present and future
• The propagation and localization of Rayleigh waves in disordered piezoelectric phononic crystals
• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Wave propagation in single column woodpile phononic crystals: Formation of tunable band gaps
• Incremental modeling of a new high-order polynomial surrogate model
• Sparse regression Chebyshev polynomial interval method for nonlinear dynamic systems under uncertainty
• Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis
• Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters
• Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions
• A Novel Hybrid Sequential Design Strategy for Global Surrogate Modeling of Computer Experiments