Modeling multibody systems with uncertainties. I: Theoretical and computational aspects

DOI10.1007/s11044-006-9007-5zbMath1146.70330OpenAlexW2003230895MaRDI QIDQ2433228

Mehdi Ahmadian, Corina Sandu, Adrian Sandu

Publication date: 27 October 2006

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11044-006-9007-5

zbMATH Keywords

UncertaintyMultibody systemsPolynomial chaosStochastic DAEStochastic ODE

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of a rigid body and of multibody systems (70E99)

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Uses Software

• Matlab

Cites Work

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• Non-Gaussian closure technique for stationary random vibration
• Stochastic averaging: An approximate method of solving random vibration problems
• A new approximate solution technique for randomly excited nonlinear oscillators. II
• Stochastic linearization of MDOF systems under parametric excitations
• A new stochastic approach to transient heat conduction modeling with uncertainty.
• Spectral polynomial chaos solutions of the stochastic advection equation
• A Volterra series approach to the approximation of stochastic nonlinear dynamics
• An exact solution to a certain nonlinear random vibration problem
• Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• Modeling multibody systems with uncertainties. II: Numerical applications
• On the theory of optimal control. Sufficient coordinates
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
• Generalized polynomial chaos and random oscillators
• Polynomial Chaos in Stochastic Finite Elements
• SOME EXPERIMENTS WITH STABILITY ANALYSIS OF DISCRETE INCOMPRESSIBLE FLOWS IN THE LID-DRIVEN CAVITY
• Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
• Uncertainty Quantification in CFD Simulations: A Stochastic Spectral Approach
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Supersensitivity due to uncertain boundary conditions
• The Homogeneous Chaos
• Stochastic systems