A second-moment aproach for direct probabilistic model updating in structural dynamics
type: Dataset
description: Discrepancies between experimentally measured data and computational predictions are unavoidable for structural dynamic systems. Model updating methods have been developed over the past three decades to reduce this gap. Well established model updating methods exist when both the model and experimental measurements are deterministic in nature. However in reality, experimental results may contain uncer- tainty, for example arising due to unknown experimental errors, or variability in nominally identical structures. Over the past two decades probabilistic approaches have been developed to incorporate uncertainties in computational models. In this paper, the natural frequencies and the eigenvectors of the system are measured and assumed to be uncertain. A random matrix approach is proposed and closed-form expressions are derived for the mean matrix and the covariance matrix of the updated stiffness matrix. A perturbation technique is used to obtain a usable expression for the covariance matrix. The new method is illustrated by three numerical examples highlighting the influence of the eigenfrequency uncertainties on the mean matrix and the influence of the eigenvector uncertainties on the covariance matrix. Random systems Structural dynamics Uncertainty propagation Updating method
landing page: 0888-3270
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: matrice
issued: 2026-05-06T06:04:11.186798
modified: 2026-05-06T06:04:11.186804
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

A second-moment aproach for direct probabilistic model updating in structural dynamics
type: Distribution
format: HTML
access URL: https://hal.science/hal-00951802
issued: 2026-05-06T06:04:11.188419
modified: 2026-05-06T06:04:11.180465