ITERATIVE SOLUTION PROCEDURES FOR LINEAR AND NON-LINEAR STRUCTURAL ANALYSIS

Three iterative solution procedures are reviewed: the variable metric method, the conjugate gradient method and dynamic relaxation. As a result of this review, a 'secant iterative method' is proposed which is related to both the variable metric and conjugate gradient techniques. The 'secant method' is better suited to structural analysis and may be used as an accelerated modified Newton-Raphson method for non-linear analysis. It may also be used in conjunction with a sub-divided coarse mesh/fine mesh structural idealisation. In its latter form it could be used for linear or non-linear analysis. (Author/TRRL)

• Record URL:
  http://arrbknowledge.com
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00050164
• Corporate Authors:

  Transport and Road Research Laboratory (TRRL)

  Wokingham, Berkshire  United Kingdom 
• Authors:
  • Crisfield, M A
• Publication Date: 1979

Media Info

• Features: Figures; References; Tables;
• Pagination: 35 p.
• Serial:
  • Australian Road Research
  • Publisher: ARRB
  • ISSN: 0005-0164

Subject/Index Terms

• TRT Terms: Bridges; Calculation; Iterative methods; Linear systems; Mathematical analysis; Methodology; Modulus; Nonlinear systems; Secant; Structural analysis; Structures
• Uncontrolled Terms: Linear
• Old TRIS Terms: Secant modulus
• ITRD Terms: 6471: Analysis (math); 3455: Bridge; 6464: Calculation; 3355: Engineering structure; 6492: Iteration; 6484: Linear system; 9102: Method
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00310100
• Record Type: Publication
• Source Agency: Transport Research Laboratory
• Report/Paper Numbers: LR900 Monograph
• Files: ITRD, TRIS, ATRI
• Created Date: Jun 9 1980 12:00AM