Research article Vol. 13 No. 3 (2017): International Journal for Computational Civil and Structural Engineering

ABOUT CONTEMPORARY APPROACHES TO REDUCTION OF COMPUTATIONAL DIMENSION OF PROBLEMS OF STRUCTURAL ANALYSIS WITHIN FINITE ELEMENT METHOD

Alexander M. Belostotsky, Pavel А. Akimov, Dmitry S. Dmitriev
19-33 DOI 10.22337/1524-5845-2017-13-3-19-33
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ABOUT CONTEMPORARY APPROACHES TO REDUCTION OF COMPUTATIONAL DIMENSION OF PROBLEMS OF STRUCTURAL ANALYSIS WITHIN FINITE ELEMENT METHOD

Authors

  • Alexander M. Belostotsky Scientific Research Center “StaDyO”, Moscow, RUSSIA; Russian University of Transport» (RUT – MIIT), Moscow, RUSSIA; Peoples’ Friendship University of Russia, Moscow, RUSSIA; Perm National Research Polytechnic University, Perm, RUSSIA; Research Institute of Building Physics of Russian Academy
  • Pavel А. Akimov Scientific Research Center “StaDyO”, Moscow, RUSSIA; Research Institute of Building Physics of Russian Academy of Architecture and Construction Sciences, Moscow, RUSSIA; Russian Academy of Architecture and Construction Sciences, Moscow, RUSSIA
  • Dmitry S. Dmitriev Scientific Research Center “StaDyO”, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/1524-5845-2017-13-3-19-33

Keywords:

finite element method, superelement method, substructuring method, reduction, computational dimension

Abstract

At present, as is known, there are many methods of reduction of computational dimension of problems of structural analysis within finite element method (FEM), including the reduction of the dimensions of the mass matrix and the stiffness matrix of the finite element model (to bring them, for example, in accordance with the “structural health monitoring” (or “test”) model of the object, which degrees of freedom are determined by the places of installation of accelerometers. In this respect, the following approaches are considered in this paper (with the corresponding analysis of the advantages and disadvantages): the Gaian reduction method, the IRS
(Improved Reduced System) reduction method and the dynamic reduction method. In addition, the so-called static finite element method for seismic analysis of underground structures, based on the substructuring technique, is considered.

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Issue

Vol. 13 No. 3 (2017): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

Belostotsky, A. M., Akimov P. А., & Dmitriev, D. S. (2017). ABOUT CONTEMPORARY APPROACHES TO REDUCTION OF COMPUTATIONAL DIMENSION OF PROBLEMS OF STRUCTURAL ANALYSIS WITHIN FINITE ELEMENT METHOD. International Journal for Computational Civil and Structural Engineering, 13(3), 19-33. https://doi.org/10.22337/1524-5845-2017-13-3-19-33

Keywords

finite element method superelement method substructuring method reduction computational dimension

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