再帰的求解法による全体方程式の解法について

• 迫 伸生

• 山本 将彦

• 鈴村 文寛

• 片山 剛之丞

書誌事項

タイトル別名

• Recursive Approach for a Class of Global Stiffness Equations on Finite Element Method.
• サイキテキ キュウカイホウ ニヨル ゼンタイ ホウテイシキ ノ カイホウ ニ

抄録

The purpose of this paper is to solve a class of a global stiffness equations for Finite-Element Method (FEM). Recursive algorithm is derived that the global stiffness equation is decomposed to decoupled linear algebraic equations with low order. Solutions are constructed by sum of a zero-order solution and an error solution. The solution can be approximated to exact solution with an error solution by repeating calculation of reduced-order error equation. For structural analysis of FEM, there exist difficult cases for calculating by a computational error since the global stiffness matrix contains elements of different order. By using recursive approach, however, it can be solved the global stiffness equation to avoid the computational error. Since the decomposed equation are independently each other the reduced-order equation can be solved by using parallel processing. In order to demonstrate the effectiveness of the recursive approach, a simple numerical example will be shown. The results show that the recursive approach converge with the rate of convergence of accuracy O(ε).

収録刊行物

• 日本機械学会論文集Ｃ編

  日本機械学会論文集Ｃ編 64 (619), 844-849, 1998

  一般社団法人 日本機械学会

キーワード

• Finite Element Method
• Computer Aided Analysis
• Foundation
• Algebraic Manipuration
• A Global Stiffness Matrix
• Recursive Approach
• Computational Error

詳細情報

• CRID: 1390282681305363328
• NII論文ID: 130004232652
• NII論文ID: 110002383618
• NII書誌ID: AN00187463
• DOI: 10.1299/kikaic.64.844
• ISSN: 18848354
• ISSN: 03875024
• NDL書誌ID: 4436537
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4436537
• Web Site: http://www.jstage.jst.go.jp/article/kikaic1979/64/619/64_619_844/_pdf
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可