A non-parametric probabilistic model for ground-borne vibrations in buildings

M Arnst,D Clouteau,H Chebli,R Othman,G Degrande

doi:10.1016/j.probengmech.2005.06.004

M Arnst, D Clouteau + Show 3 more

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https://doi.org/10.1016/j.probengmech.2005.06.004

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Abstract

This paper studies the prediction accuracy of models for ground-borne vibrations in buildings based on a three-dimensional coupled FE–BE formulation in the frequency range relevant for traffic induced vibrations. In structural dynamics, the prediction accuracy at relatively high frequencies is known to be problematic since the sensitivity of the predicted response to modelling errors and parameter uncertainties increases with the frequency. To estimate the prediction accuracy, this paper incorporates the parameter uncertainties and the modelling errors into the analysis using the non-parametric probabilistic approach, introduced by Soize. The methodology is applied to a case history. The results of a prediction model for the transmission of vibrations from a shallow cut-and-cover tunnel to a six storey reinforced concrete frame structure in Paris are considered and compared with in situ measurements. The results demonstrate that a single dispersion parameter allows fitting the data. The sensitivity of the response to uncertainties is shown to increase as vibrations propagate inside the building.

Highlights

Ground-borne traffic induced vibrations in buildings are a major environmental concern in urban areas
The present paper follows the non-parametric probabilistic approach to estimate the prediction accuracy of dynamic soil–structure interaction models based on a coupled FE–BE formulation and on the Craig–Bampton substructuring method
The tunnel is a masonry cut-and-cover tunnel at a shallow depth of about 9.3 m below the free soil surface embedded in sand layers

Summary

Introduction

Ground-borne traffic induced vibrations in buildings are a major environmental concern in urban areas. Dynamic soil–structure interaction models are subsequently used to compute the response of the buildings These models can be based on a three-dimensional coupled FE–BE formulation and on the Craig–Bampton substructuring method [4], as well established in the field of earthquake engineering [5,6]. Whereas computations for earthquake engineering problems are performed in the frequency range between 0 and 10 Hz, the quantification of traffic induced re-radiated noise in buildings requires computations of the structural vibrations up to 200 Hz. The prediction accuracy at such high frequencies may be problematic since the sensitivity of the predicted response to parameter uncertainties and modelling errors increases with the frequency. The aim of this paper is to account for such uncertainties and errors in the estimation of the prediction accuracy of dynamic soil– structure interaction models based on a coupled FE–BE formulation and on the Craig–Bampton substructuring method

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