A global/local probabilistic approach for reduced-order modeling adapted to the low- and mid-frequency structural dynamics

Abstract : The research presented here is devoted to the construction of a probabilistic reduced-order computational model adapted to the low- and mid-frequency structural dynamics. The methodology presented here is based on a global/lo\-cal separation of the space of admissible displacements by solving two separated eigenvalue problems in which the kinetic energy is modified. This paper presents a general framework for constructing the modified kinetic energy by introducing classes of kinematic reductions. The global/local separation allows the construction of a probabilistic model of uncertainties for which the fluctuations of the global displacements and the fluctuations of the local displacements can be controlled separately.
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Submitted on : Saturday, July 18, 2015 - 1:08:31 PM
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Anas Batou. A global/local probabilistic approach for reduced-order modeling adapted to the low- and mid-frequency structural dynamics. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2015, 294, pp.123-140. ⟨10.1016/j.cma.2015.06.007⟩. ⟨hal-01162722⟩

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