Conversion Between Solid and Beam Element Solutions of Finite Element Method Based on Meta-modeling Theory: Development and Application to a Ramp Tunnel Structure

In this study, a new method for conversion of solid finite element solution to beam finite element solution is developed based on the meta-modeling theory which constructs a model consistent with continuum mechanics. The proposed method is rigorous and efficient compared to a typical conversion method which merely computes surface integration of solid element nodal stresses to obtain cross-sectional forces. The meta-modeling theory ensures the rigorousness of proposed method by defining a proper distance between beam element and solid element solutions in a function space of continuum mechanics. Results of numerical verification test that is conducted with a simple cantilever beam are used to find the proper distance function for this conversion. Time history analysis of the main tunnel structure of a real ramp tunnel is considered as a numerical example for the proposed conversion method. It is shown that cross-sectional forces are readily computed for solid element solution of the main tunnel structure when it is converted to a beam element solution using the proposed method. Further, envelopes of resultant forces which are of primary importance for the purpose of design, are developed for a given ground motion at the end.

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    • Copyright © 2017, Institute of Engineering Mechanics, China Earthquake Administration and Springer-Verlag Berlin Heidelberg.
  • Authors:
    • Jayasinghe, J
    • Hori, M
    • Riaz, M
    • Wijerathne, M
    • Ichimura, T
  • Publication Date: 2017-4

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  • English

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  • Accession Number: 01633182
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Apr 28 2017 10:40AM