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Theory and implementation of sub-model method in finite element analysis.

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This study validates the sub-modeling technique for analyzing complex bridge structures, balancing accuracy and efficiency. The method, based on nodal displacements, proves effective for finite element models (FEM) of skew bridges.

Keywords:
Beam elementStress fieldSub-modelTheoretical derivation

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Area of Science:

  • Structural Engineering
  • Computational Mechanics
  • Finite Element Analysis

Background:

  • Finite element analysis (FEA) is crucial for bridge structure mechanical performance evaluation.
  • Accurate FEA requires appropriate element selection and refined mesh models.
  • Analyzing large-scale, complex long-span bridges with detailed finite element models (FEM) is time-consuming.

Purpose of the Study:

  • To investigate the sub-modeling technique as a method to balance accuracy and efficiency in bridge structure analysis.
  • To theoretically deduce and experimentally verify the sub-modeling technique for 2-D beam element models.
  • To assess the applicability of sub-modeling based on nodal displacements for 3-D solid FEM of skew bridges.

Main Methods:

  • Theoretical deduction of sub-model theory for 2-D beam element models.
  • Application and verification of sub-modeling technique on a 2-D plane frame model.
  • Analysis of a 3-D solid FEM of a skew bridge, examining mesh size influence on accuracy.
  • Comparison of global and sub-model results for stress fields and concrete plastic damage using sub-modeling based on nodal displacements.

Main Results:

  • The sub-modeling technique was theoretically deduced for 2-D beam elements and verified with a plane frame model.
  • Mesh size significantly influences calculation accuracy in 3-D solid FEM of skew bridges.
  • Sub-modeling based on nodal displacements demonstrated suitability for 3-D solid FEM analysis of skew bridges.

Conclusions:

  • The sub-modeling technique offers a viable approach to reduce computational cost for large-scale bridge structures.
  • The sub-modeling technique, particularly based on nodal displacements, is effective for detailed analysis of complex structures like skew bridges using solid FEM.
  • This method provides a balance between the accuracy of detailed analysis and the efficiency required for practical engineering projects.