A Note on Application of Multiple Precision Arithmetic to Structural Analyses

• KANEKIYO Hiroaki

  Kansai University

• KASAYUKI Kensuke

  Graduate School of Kansai University

• ISHIKAWA Toshiyuki

  Kansai University

• DAN Hiroshige

  Kansai University

Bibliographic Information

Other Title

• 構造解析における多倍長精度計算の応用に関する考察

Abstract

A multiple precision arithmetic method is applied to derive a numerical solution of a system of ordinary differential equations describing static equilibrium of structural systems. First, it is shown that a numerical approach based upon the widely-used fixed precision arithmetic method defined by IEEE 754 can not give a correct solution because of numerical instabilities appearing in a discrete scheme, even if we apply a quadruple precision floating point number. Then, it is clarified that such numerical instabilities can be effectively removed by introducing the multiple precision arithmetic method, which can give us a correct solution.

Journal

• The Proceedings of Mechanical Engineering Congress, Japan

  The Proceedings of Mechanical Engineering Congress, Japan 2018 (0), G1000304-, 2018

  The Japan Society of Mechanical Engineers

Keywords

• Multiple precision arithmetic
• differential equation
• numerical scheme
• numerical instability
• structural system

Details

• CRID: 1390564238093142528
• NII Article ID: 130007619205
• DOI: 10.1299/jsmemecj.2018.g1000304
• ISSN: 24242667
• Web Site: https://www.jstage.jst.go.jp/article/jsmemecj/2018/0/2018_G1000304/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed