A DISCRETE-ELEMENT METHOD FOR TRANSVERSE VIBRATIONS OF BEAM COLUMNS RESTING ON LINEARLY ELASTIC OR INELASTIC SUPPORTS

A DISCRETE-ELEMENT METHOD OF ANALYSIS FOR TRANSVERSE VIBRATION OF BEM COLUMNS RESTING ON LINEARLY OR NONLINEARLY-ELASTIC, OR NONLINEARLY-INELASTIC, SUPPORTS IS PRESENTED. THE APPLIED FORCES INCLUDE STATIC FIXED LOADS AND TIME DEPENDENT DYNAMIC LOADS. THE PROGRAM IS AN EXTENSION OF PROGRAMS ( BMCOL 43 (RESEARCH REPORT NO. 56-4) AND DBC1 (RESEARCH REPORT NO. 56-8) TO COVER INELASTIC SUPPORTS AND TIME- DEPENDENT AXIAL THRUSTS. TWO MULTI-ELEMENT MODELS ARE USED TO SIMULATE THE INELASTIC CHARACTERISTICS OF SUPPORTS, ONE WHICH ALLOWS THE BEAM TO LIFT OFF THE SUPPORT WHEN IT DEFLECTS, UPWARD OR DOWNWARD, AND THE OTHER WHICH CONSIDERS THE RESISTANCE TO EITHER UPWARD OR DOWNWARD DEFLECTION. AN INTERNAL DAMPING FACTOR, WHICH IS RELATED TO THE FIRST DERIVATIVE WITH RESPECT TO TIME OF THE CURVATURE OF THE BEAM, HAS BEEN INCLUDED, IN ADDITION TO THE CONVENTIONAL EXTERNAL VISCOUS DAMPING FACTOR. THE METHOD IS BASED ON AN IMPLICIT DIFFERENCE FORMULATION OF THE CRANK NICOLSON TYPE. A COMPUTER PROGRAM HAS BEEN WRITTEN TO CHECK THE VALIDITIES OF THE PORPOSED MULTI-ELEMENT MODELS OF TRACING THE LOADING PATHS OF THE NONLINEARLY-INELASTIC SUPPORTS AND OF THE IMPLICIT FORMULATION OF THE CRANK- NICOLSON TYPE. THE RESULTS COMPARE WELL WITH THE THEORETICAL RESULTS AND WITH EXPERIMENTAL DATA.

  • Corporate Authors:

    University of Texas, Austin

    Center for Highway Research, 200 West 21st Street
    Austin, TX  United States  78712
  • Authors:
    • Chan, J H
    • Matlock, H
  • Publication Date: 1972-6

Media Info

  • Features: Figures; References;
  • Pagination: 229 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00209868
  • Record Type: Publication
  • Report/Paper Numbers: No 56-24
  • Files: TRIS
  • Created Date: May 15 1973 12:00AM