Interval finite element analysis using interval factor method

DOI10.1007/s00466-006-0055-8zbMath1166.74035OpenAlexW2093764637MaRDI QIDQ1015589

J. Martínez

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0055-8

zbMATH Keywords

stress responsetruss structuresstructural displacementstructural stiffness matrix

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) General methods in interval analysis (65G40)

Related Items (10)

A Monte Carlo simulation method for non-random vibration analysis ⋮ Some significant improvements for interval process model and non-random vibration analysis method ⋮ Interval and random analysis for structure-acoustic systems with large uncertain-but-bounded parameters ⋮ Robust stability analysis of structures with uncertain parameters using mathematical programming approach ⋮ A subinterval bivariate dimension-reduction method for nonlinear problems with uncertainty parameters ⋮ Non-probabilistic uncertain static responses of imprecisely defined structures with fuzzy parameters ⋮ Moment-Based Hybrid Polynomial Chaos Method for Interval and Random Uncertain Analysis of Periodical Composite Structural-Acoustic System with Multi-Scale Parameters ⋮ Solving the nondeterministic static governing equations of structures subjected to various forces under fuzzy and interval uncertainty ⋮ Hybrid uncertain static analysis with random and interval fields ⋮ A novel method of non-probabilistic reliability-based topology optimization corresponding to continuum structures with unknown but bounded uncertainties

Cites Work

• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Interval finite element method for beam structures
• Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis
• A method for estimating upper and lower bounds of eigenvalues of closed-loop systems with uncertain parameters
• Random matrix theory and non-parametric model of random uncertainties in vibration analysis
• Ein Eigenwertproblem für Intervall‐Matrizen
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