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 BEAM 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 OF 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 BEAMS, 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 PROPOSED 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. /AUTHOR/

• Corporate Authors:

  Texas State Department of Highways & Public Transp

  11th and Brazos Streets
  Austin, TX  United States  78701

  University of Texas, Austin

  Center for Highway Research, 200 West 21st Street
  Austin, TX  United States  78712

  Federal Highway Administration

  1200 New Jersey Avenue, SE
  Washington, DC  United States  20590
• Authors:
  • Chan, J H
  • Matlock, H
• Publication Date: 0

Subject/Index Terms

• TRT Terms: Deflection; Dynamic loads; Elastic deformation; Simulation; Static loads; Structural analysis; Structural models; Vibration
• Old TRIS Terms: Static loading
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00208032
• Record Type: Publication
• Source Agency: Federal Highway Administration
• Report/Paper Numbers: Study No 56-24
• Files: TRIS, USDOT, STATEDOT
• Created Date: Apr 2 1972 12:00AM