Large-scale Eigen-analysis of discrete model by EFMM

• Yosuke Kobayashi Yosuke Kobayashi

  Center for Computational Mechanics Research, Toyo University

• Sioya Ryugi

  Center for Computational Mechanics Research, Toyo University

• Yagawa Genki

  Center for Computational Mechanics Research, Toyo University

Bibliographic Information

Other Title

• EFMM離散化モデルの大規模並列固有値解析

Abstract

The Enriched Free Mesh Method (EFMM) is a Mixed Method using the Hellinger-Reissner principle. A highly accurate stiffness matrix is computed for each local cluster. As a result, the EFMM can compute the high performance structural problem of low-order mode without an increase in the number of DOF. In this research, a large eigenvalue analysis of discrete model of the EFMM is performed using the Lanzcos method on a PC cluster environment. The EFMM has more nonzero elements in stiffness matrix than the FEM. Therefore, we convert the stiffness matrix of the EFMM into tridiagonal one for the memory saving. It is noted that the Lanzcos method can obtain small number of eigenvalues in high accuracy with less computation time.

Journal

• NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

  NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 58 (0), 48-48, 2009

  National Committee for IUTAM

Keywords

• Finite Element Method
• Free Mesh Method
• Enriched Free Mesh Method
• Structual Analysis
• Eigen Analysis
• Lancoz Method
• Parallel Computing

Details

• CRID: 1390001205593067648
• NII Article ID: 130004604388
• DOI: 10.11345/japannctam.58.0.48.0
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed