A FINITE-ELEMENT METHOD FOR TRANSVERSE VIBRATIONS OF BEAMS AND PLATES

A FINITE-ELEMENT METHOD IS DEVELOPED TO DETERMINE THE TRANSVERSE LINEAR DEFLECTIONS OF A VIBRATING BEAM OR PLATE. THE METHOD CAN BE USED TO OBTAIN NUMERCIAL SOLUTIONS TO VARIED BEAM AND PLATE VIBRATION PROBLEMS WHICH CAN NOT BE READILY SOLVED BY OTHER KNOWN METHODS. THE SOLUTIONS FOR THE BEAM AND PLATE ARE SEPARATE FORMULATIONS WHICH HAVE BEEN PROGRAMMED FOR A DIGITAL COMPUTER. BOTH SOLUTIONS PERMIT ARBITRARY VARIATIONS IN BENDING STIFFNESS, MASS DENSITY AND DYNAMIC LOADING. THE STATIC EQUATIONS HAVE BEEN INCLUDED IN THE DEVELOPMENT SO THAT THE INITIAL DEFLECTIONS CAN BE CONVENIENTLY ESTABLISHED. IN THE BEAM, THE DIFFERENCE EQUATIONS ARE SOLVED BY A RECURSIVE PROCEDURE. FOR THE PLATE, THE SAME PROCEDURE IS COMBINED WITH AN ALTERNATING- DIRECTION TECHNIQUE TO OBTAIN AN ITERATED SOLUTION. THE NUMERICAL RESULTS DEMONSTRATE THAT THE METHOD IS APPLICABLE TO A WIDE RANGE OF VIBRATION PROBLEMS WHICH ARE RELEVANT TO A BEAM OR PLATE. /AUTHOR/

• Supplemental Notes:
  • Research RePORT 56-8,125 PP
• Corporate Authors:

  University of Texas, Austin

  Center for Highway Research, 200 West 21st Street
  Austin, TX  United States  78712
• Authors:
  • Salani, H
  • Matlock, H
• Publication Date: 1967-6

Subject/Index Terms

• TRT Terms: Beams; Bending; Bending stress; Density; Digital computers; Dynamic loads; Finite element method; Numerical analysis; S waves; Stresses; Structural plates; Vibration
• Uncontrolled Terms: Plates
• Old TRIS Terms: Finite elements
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00208362
• Record Type: Publication
• Files: TRIS
• Created Date: Jan 16 1994 12:00AM