Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis

DOI10.1007/BF02736398zbMath1105.74043OpenAlexW2031130292WikidataQ113327831 ScholiaQ113327831MaRDI QIDQ861374

Dirk Vandepitte, David Moens

Publication date: 29 January 2007

Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02736398

zbMATH Keywords

envelope frequency response functions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Optimization problems in solid mechanics (74Pxx)

Related Items (34)

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Cites Work

• Unnamed Item
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• Random sets and fuzzy interval analysis
• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Fuzzy sets and statistical data
• Constructing membership functions using statistical data
• Vertex method for computing functions of fuzzy variables
• Fuzzy sets and systems. Theory and applications
• Fuzzy sets as a basis for a theory of possibility
• The concept of a linguistic variable and its application to approximate reasoning. I
• Application of fuzzy sets to transient analysis of space structures
• Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
• Algebraic approach in the ``outer problem for interval linear equations
• A new solution to structural fuzzy finite element equilibrium equations (SFFEEE)
• Fuzzy finite element approach for the vibration analysis of imprecisely-defined systems
• A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters.
• Fuzzy behavior of mechanical systems with uncertain boundary conditions
• A comparison of models for uncertainty analysis by the finite element method.
• A fuzzy set approach to interlaminar cracks simulation problems
• Fuzzy number theory to obtain conservative results with respect to probability
• Finite element analysis of flexible multibody systems with fuzzy parameters
• Fuzzy structural analysis using \(\alpha\)-level optimization
• Stochastic analysis of dynamical systems by phase-space-controlled Monte Carlo simulation
• Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS
• Eigenvalue bounds of structures with uncertain-but-bounded parameters
• A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
• Anti-Optimization Versus Probability in an Applied Mechanics Problem: Vector Uncertainty
• Interval Methods for Systems of Equations
• Stress Concentration at a Nearly Circular Hole With Uncertain Irregularities
• Fuzzy finite element analysis of a foundation on an elastic soil medium
• Analysis of Uncertain Structural Systems Using Interval Analysis
• The generalized eigenvalue problem for tridiagonal symmetric interval matrices
• On Optimal Solution of Interval Linear Equations
• Elasto‐plastic finite element analysis with fuzzy parameters
• Fuzzy finite element approach for analysis of imprecisely defined systems
• Fuzzy sets
• Rates of change of eigenvalues and eigenvectors.
• THE EXTENDED TRANSFORMATION METHOD FOR THE SIMULATION AND ANALYSIS OF FUZZY-PARAMETERIZED MODELS
• A new method for computing the upper and lower bounds on frequencies of structures with interval parameters
• Practical fuzzy finite element analysis of structures.

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