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A hierarchical Bayesian method for vibration-based time domain force reconstruction problems
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DOI：10.1016/j.jsv.2018.01.052.png)
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Abstract
En 中文
Traditional force reconstruction techniques require prior knowledge on the force nature to determine the regularization term. When such information is unavailable, the inappropriate term is easily chosen and the reconstruction result becomes unsatisfactory. In this paper, we propose a novel method to automatically determine the appropriate q as in l(q) regularization and reconstruct the force history. The method incorporates all to-be-determined variables such as the force history, precision parameters and q into a hierarchical Bayesian formulation. The posterior distributions of variables are evaluated by a Metropolis-within-Gibbs sampler. The point estimates of variables and their uncertainties are given. Simulations of a cantilever beam and a space truss under various loading conditions validate the proposed method in providing adaptive determination of q and better reconstruction performance than existing Bayesian methods. (C) 2018 Elsevier Ltd. All rights reserved.
Keywords:
Force history reconstruction
Inverse problem
l(q) regularization
Hierarchical Bayesian formulation
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