Predicting stochastic characteristics of generalized eigenvalues via a novel sensitivity-based probability density evolution method

DOI10.1016/j.apm.2020.06.060zbMath1481.70095OpenAlexW3039078720WikidataQ115463065 ScholiaQ115463065MaRDI QIDQ821920

Yuning Zheng

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.06.060

zbMATH Keywords

uncertaintyeigenvaluefinite elementsprobability densityvibration

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05)

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Cites Work

• Unnamed Item
• Optimization of the truss-type structures using the generalized perturbation-based stochastic finite element method
• The number theoretical method in response analysis of nonlinear stochastic structures
• Transient probabilistic systems
• A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters.
• The antipode construction for sphere packings
• Hybrid uncertain natural frequency analysis for structures with random and interval fields
• Probability density evolution method for dynamic response analysis of structures with uncertain parameters
• Polynomial Chaos in Stochastic Finite Elements
• The Stochastic Perturbation Method for Computational Mechanics
• Stochastic Dynamics of Structures