Optimal Sensor Placement in Timber Structures by Means of a Multi-scale Approach with Material Uncertainty

R Castro-Triguero (University of Cordoba, Spain), EI Saavedra Flores (Universidad de Santiago de Chile, Chile), FA Diaz de la O (University of Liverpool), MI Friswell (Swansea University) & R Gallego (University of Granada, Spain)

Structural Control and Health Monitoring, Vol. 21, No. 12, December 2014, pp. 1437-1452

Abstract

This paper investigates the optimal location of sensors in a timber structure when parametric uncertainty is considered in the microstructure of the material. In order to describe the proposed methodology, a timber beam is chosen for our numerical simulations. A classical sensor location methodology based on the Fisher information matrix is employed. Within a finite element framework, a homogenization-based multi-scale approach is adopted to model the constitutive response of timber, along with stochastic properties in the definition of the material. Nevertheless, by considering uncertainty in the micromechanical properties of wood, a significant computational cost is added to the solution of a large set of realizations represented by expensive multi-scale analyses. In order to tackle this high cost, we build a statistical approximation to the output of the computer model, known as a Bayesian emulator. Following this strategy, three micromechanical parameters are chosen to study their influence on the selection of different configurations of sensor placement. The optimal location of sensors is assessed with three different criteria: the Fisher matrix determinant, the modal assurance criterion error and the condition number. Furthermore, the robustness of this configuration is investigated in the presence of noise.

Paper Availability

This material has been published in the Structural Control and Health Monitoring, Vol. 21, No. 12, December 2014, pp. 1437-1452. Unfortunately the copyright agreement with Wiley does not allow for the PDF file of the paper to be available on this website. However the paper is available from Wiley - see the link below.


Link to paper using doi: 10.1002/stc.1654

Link the Structural Control and Health Monitoring at Wiley Online