A SURVEY OF DIRECT INTEGRATION METHODS IN STRUCTURAL DYNAMICS

Several alternative methods for directly integrating the governing equations of motion of structural dynamics are reviewed. First, the characteristics of the matrix equations are examined (e.g.; the spread in structural eigenvalues, or stiffness; the bandwidth and sparseness; and the frequency spectrum of the forcing function). Then, the criteria that can be used to select a direct integration algorithm are discussed (e.g.; the artifical damping, the periodicity error). Emphasis is given to results obtained for the Houbolt, Newmark and Wilson operators, and their comparison to a class of stiffly stable operators. Recent application of these operators to nonlinear problems is discussed.

• Supplemental Notes:
  • Sponsored by Office of Naval Research.
• Corporate Authors:

  Brown University

  Division of Engineering
  Providence, RI  United States  02912
• Authors:
  • Nickell, R E
• Publication Date: 1972-4

Media Info

• Features: Figures; References;
• Pagination: 29 p.
• Serial:
  • Issue Number: 9

Subject/Index Terms

• TRT Terms: Finite element method; Matrices (Mathematics); Structural analysis; Vibration
• Uncontrolled Terms: Matrix analysis
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00035649
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: NR 064-512 Tech Rpt
• Contract Numbers: N00014-67-A-01910007
• Files: TRIS
• Created Date: Oct 13 1972 12:00AM