The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem
From MaRDI portal
Publication:1033526
DOI10.1016/j.cma.2007.06.022zbMath1173.74355OpenAlexW2064974542MaRDI QIDQ1033526
Yuying Xia, Zhi-Ping Qiu, Jia-ling Yang
Publication date: 6 November 2009
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.2007.06.022
interval analysisstress distributionstatic responsebounded uncertaintiesparallel arithmeticthe vertex solution theorem
Related Items (32)
RESPONSE STATISTICS OF LINEAR STRUCTURES WITH UNCERTAIN-BUT-BOUNDED PARAMETERS UNDER GAUSSIAN STOCHASTIC INPUT ⋮ Interval finite difference method for steady-state temperature field prediction with interval parameters ⋮ Evidence-Theory-Based Analysis for Structural-Acoustic Field with Epistemic Uncertainties ⋮ Unified response probability distribution analysis of two hybrid uncertain acoustic fields ⋮ Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information ⋮ An interval uncertainty analysis method for structural response bounds using feedforward neural network differentiation ⋮ Random model with fuzzy distribution parameters for hybrid uncertainty propagation in engineering systems ⋮ An efficient numerical method to solve 2-D interval bi-modular problems via orthogonal polynomial expansion ⋮ Interval and random analysis for structure-acoustic systems with large uncertain-but-bounded parameters ⋮ An interval random perturbation method for structural-acoustic system with hybrid uncertain parameters ⋮ Fuzzy interval perturbation method for uncertain heat conduction problem with interval and fuzzy parameters ⋮ A credible interval analysis method for uncertain structures under nonprobabilistic framework ⋮ A subinterval bivariate dimension-reduction method for nonlinear problems with uncertainty parameters ⋮ A polynomial chaos expansion approach for nonlinear dynamic systems with interval uncertainty ⋮ A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters ⋮ Interval analysis of structures with uncertain-but-bounded axial stiffness ⋮ Unified polynomial expansion for interval and random response analysis of uncertain structure-acoustic system with arbitrary probability distribution ⋮ A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties ⋮ Non-probabilistic reliability-based topology optimization of continuum structures considering local stiffness and strength failure ⋮ An improved Bayesian collocation method for steady-state response analysis of structural dynamic systems with large interval uncertainties ⋮ Reliability evaluation of bridges based on nonprobabilistic response surface limit method ⋮ An Iterative Dimension-Wise Approach to the Structural Analysis with Interval Uncertainties ⋮ A unified method and its application to brake instability analysis involving different types of epistemic uncertainties ⋮ Moment-Based Hybrid Polynomial Chaos Method for Interval and Random Uncertain Analysis of Periodical Composite Structural-Acoustic System with Multi-Scale Parameters ⋮ Uncertainty analysis for heat convection-diffusion problem with large uncertain-but-bounded parameters ⋮ Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis ⋮ Interval uncertainty analysis for static response of structures using radial basis functions ⋮ An arbitrary polynomial chaos expansion approach for response analysis of acoustic systems with epistemic uncertainty ⋮ Finite Element Analysis of the Uncertainty of Physical Response of Acoustic Metamaterials with Interval Parameters ⋮ A dual-layer dimension-wise fuzzy finite element method for structural analysis with epistemic uncertainties ⋮ Interval uncertainty propagation by a parallel Bayesian global optimization method ⋮ An efficient sequential strategy for non-probabilistic reliability-based topology optimization (NRBTO) of continuum structures with stress constraints
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- Vertex method for computing functions of fuzzy variables
- Application of fuzzy sets to transient analysis of space structures
- Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
- Stability of elastic bars on uncertain foundations using a convex model
- Fuzzy finite element approach for the vibration analysis of imprecisely-defined systems
- Finite element analysis of flexible multibody systems with fuzzy parameters
- Exact bounds for the static response set of structures with uncertain-but-bounded parameters
- Analysis of Uncertain Structural Systems Using Interval Analysis
- Comparison of static response of structures using convex models and interval analysis method
This page was built for publication: The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem