Titlebook: Stochastic Geometric Mechanics; CIB, Lausanne, Switz Sergio Albeverio,Ana Bela Cruzeiro,Darryl Holm Conference proceedings 2017 Springer In

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Modeling, Minimizing and Managing the Risk of Fatigue for Mechanical Components,nown as fatigue. The failure time, that is the time when a first crack forms, is highly random. In this work we review some recent developments in the modelling of probabilistic failure times, understood as the time to the formation of a fatigue crack. We also discuss how probabilistic models can be

Ligament

Geometric Analysis of Noisy Perturbations to Nonholonomic Constraints,an group. Based on this, we then develop two types of stochastic deformations of the Suslov problem and study the possibility of extending to the stochastic case the preservation of some of its integrals of motion such as the Kharlamova or Clebsch–Tisserand integrals.

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https://doi.org/10.1007/978-3-319-63453-158Exx, 60Hxx, 49Sxx, 35Rxx, 70Exx, 76Dxx, 81Sxx; stochastic geometric mechanics; random dynamical syst

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Fortuitous

Stochastic Geometric Mechanics978-3-319-63453-1Series ISSN 2194-1009 Series E-ISSN 2194-1017

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Surface Integrals in Hilbert Spaces for General Measures and Applications,We present a construction of surface integrals with respect to some non Gaussian probability measures in Hilbert spaces.