Results 21 to 30 of about 1,606 (214)
Robustness Analysis of the Collective Nonlinear Dynamics of a Periodic Coupled Pendulums Chain
Applied Sciences, 2017 Perfect structural periodicity is disturbed in presence of imperfections. The present paper is based on a realistic modeling of imperfections, using uncertainties, to investigate the robustness of the collective nonlinear dynamics of a periodic coupled ...
Khaoula Chikhaoui +3 more
doaj +1 more source
A posteriori error estimation for stochastic static problems [PDF]
, 2014 To solve stochastic static field problems, a discretization by the Finite Element Method can be used. A system of equations is obtained with the unknowns (scalar potential at nodes for example) being random variables. To solve this stochastic system, the
MAC, Hung, CLENET, Stephane
core +1 more source
Performance Evaluation of Generalized Polynomial Chaos [PDF]
, 2003 In this paper we review some applications of generalized polynomial chaos expansion for uncertainty quantification. The mathematical framework is presented and the convergence of the method is demonstrated for model problems. In particular, we solve the first-order and second-order ordinary differential equations with random parameters, and examine the
Dongbin Xiu +3 more
openaire +1 more source
Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos [PDF]
2018 AIAA Guidance, Navigation, and Control Conference, 2018 This thesis presents a framework that has been developed in order to compute stochastic optimal trajectories.
Whittle L., Sagliano M.
openaire +2 more sources
Pygpc: A sensitivity and uncertainty analysis toolbox for Python
SoftwareX, 2020 We present a novel Python package for the uncertainty and sensitivity analysis of computational models. The mathematical background is based on the non-intrusive generalized polynomial chaos method allowing one to treat the investigated models as black ...
Konstantin Weise +4 more
doaj +1 more source
Polynomial Chaos Expansion mit räumlich adaptiven Sparse Grids [PDF]
, 2020 Die Polynomial Chaos Expansion (generalized Polynomial Chaos) ist eine Methode aus der Uncertainty Quantification. Mit ihr können die stochastischen Momente einer Funktion R, deren Parameter gemäß Verteilungsfunktionen verteilt sind, schnell berechnet ...
Albrecht, Thomas
core +1 more source
Hyperchaotic Self-Oscillations of Two-Stage Class C Amplifier With Generalized Transistors
IEEE Access, 2021 This paper yields process of development, numerical analysis, lumped circuit modeling, and experimental verification of a new hyperchaotic oscillator based on the fundamental topology of two-stage amplifier.
Jiri Petrzela
doaj +1 more source
Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems [PDF]
, 2013 International audienceThis paper is devoted to the stability analysis of uncertain nonlinear dynamic dry friction systems. The stability property of dry friction systems is known to be very sensitive to the variations of friction laws.
Aubry, Evelyne +2 more
core +2 more sources
A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters
Complexity, 2018 The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications ...
Rugao Gao, Keping Zhou, Yun Lin
doaj +1 more source
Applied Sciences, 2023 We investigated the stochastic response of a person sitting in a driving vehicle to quantify the impact of an uncertain parameter important in controlling defect reduction in terms of ride comfort.
Byoung-Gyu Song +2 more
doaj +1 more source