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Influence surfaces by boundary element/least square methods coupling

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Abstract

This work presents a new application for calculating the influence surfaces of transverse displacements, directional derivatives and bending moments for generic bridge decks. A plate bending boundary element method formulation is coupled with the application of a continuous field surface derived by the least square procedure. This original BE formulation permits calculating influence surfaces of plates with polygonal, curved or circular geometry, and several transverse load conditions. The proposal allows future analysis of building floors and single and continuous bridge trusses connected to longitudinal and transversal girders. Numerical examples are presented to demonstrate the potential of the present formulation and the results are compared with analytical values and with usual vehicular loads.

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Acknowledgments

The authors thank the Department of Structural and Foundation Engineering, School of Engineering of the University of São Paulo (EPUSP) for the financial support to this research.

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Authors and Affiliations

  1. Department of Structural and Foundation Engineering, School of Engineering of the University of São Paulo (EPUSP), São Paulo, SP, Brazil

    Valério da Silva Almeida

  2. Department of Civil Engineering, Faculty of Engineering (FE), UNESP, Av. Eng. Luiz Edmundo Coube, 17033-360, Bauru, SP, Brazil

    Luttgardes de Oliveira Neto

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  1. Valério da Silva Almeida
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  2. Luttgardes de Oliveira Neto
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Correspondence to Luttgardes de Oliveira Neto.

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Almeida, V.d., Oliveira Neto, L.d. Influence surfaces by boundary element/least square methods coupling. Engineering with Computers 32, 231–246 (2016). https://doi.org/10.1007/s00366-015-0412-3

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  • DOI: https://doi.org/10.1007/s00366-015-0412-3

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