Extraction of contact-point response in indirect bridge health monitoring using an input estimation approach

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ORIGINAL PAPER

Extraction of contact‑point response in indirect bridge health monitoring using an input estimation approach Rajdip Nayek1   · Sriram Narasimhan2 Received: 19 November 2019 / Revised: 27 May 2020 / Accepted: 16 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Identification of bridge dynamic properties from moving vehicle responses presents several practical benefits. However, a problem that arises when working with vehicle responses for indirect bridge health monitoring is that the bridge dynamics may get low-pass filtered by the vehicle suspension dynamics, rendering the identification of higher bridge modes difficult. Instead, the contact-point (CP) response—response at the contact point of the vehicle with the bridge surface—is a superior alternative to the vehicle response for identifying the bridge modal features. In the CP response, the vehicle dynamics is suppressed and the higher bridge modes are significantly enhanced, thus making it better suited for modal identification. Extracting the CP response from vehicle response is, however, not straightforward for a multiple degrees of freedom (MDoF) vehicle model. In this study, a novel methodology is proposed to extract CP acceleration from the measured vehicle acceleration using the knowledge of the MDoF vehicle dynamics. The CP acceleration is shown to act as a base-excited input to the test vehicle and is extracted via a joint input-state estimation procedure employing a Gaussian process latent force model (GPLFM). Numerical case studies are considered to assess the quality of the CP acceleration estimated with the proposed approach. It is found that the proposed method performs well and the extracted CP acceleration response is able to reduce the effect of vehicle dynamics and improve the prominence of higher bridge modes. Keywords  Contact-point response · Indirect health monitoring · Vehicle-bridge interaction · Joint input-state estimation · Latent force model

1 Introduction Over the last decade, indirect drive-by bridge health monitoring using moving vehicles has garnered a lot of attention. The overarching vision in this type of health monitoring is to monitor the condition of a structure using measurements from moving vehicles. Unlike conventional health monitoring approaches that use direct bridge responses from sensors instrumented on a bridge, indirect health monitoring approaches use vehicle responses and avoid the need to instrument sensors on the bridge; hence it derives the name

* Rajdip Nayek [email protected] Sriram Narasimhan [email protected] 1



University of Waterloo, Waterloo, Canada



Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, Canada

2

indirect health monitoring. Some distinct advantages offered by the indirect monitoring approaches over their direct counterparts include mobility, low cost, and efficiency. The indirect bridge monitoring methods work on the principle of vehicle-bridge interaction (VBI): as a vehicle crosses the