A FINITE ELEMENT METHOD FOR BENDING ANALYSIS OF LAYERED STRUCTURAL SYSTEMS

AN EFFICIENT NUMERICAL METHOD OF BENDING ANALYSIS FOR SIMPLY CONNECTED GRID-BEAM AND ORTHOTROPIC PLATE-BEAM LAYERED STRUCTURAL SYSTEMS IS PRESENTED. THE METHOD RELIES UPON THE AVAILABILITY OF A HIGH-SPEED DIGITAL COMPUTER. THE REAL STRUCTURE IS REPLACED BY A FINITE-ELEMENT MODEL OF BARS AND SPRINGS. THE EQUATIONS FOR THE TWO TYPES OF SYSTEMS CONSIDERED ARE DERIVED DIRECTLY FROM THE MODEL TO CIRCUMVENT CONVENTIONAL ASSUMPTIONS OF CONTINUITY. THE MODEL ELEMENTS ARE FURTHER GROUPED INTO INDIVIDUAL BEAMS OR LINE MEMBERS FOR THE THREE-PHASE ITERATION PROCESS. AN ALTERNATING- DIRECTION RELAXATION TECHNIQUE IS EMPLOYED TO COORDINATE THE SOLUTION OF THE INDIVIDUAL BEAMS. THIS TECHNIQUE USES CERTAIN CLOSURE PARAMETERS FOR CONVERGENCE OF SOLUTION WHICH SHOULD BE BASED UPON THE PROPERTIES OF THE OPPOSING BEAMS. EIGHT EXAMPLE PROBLEMS DEMONSTRATE THE APPLICABILITY OF THE METHOD TO VARIOUS PROBLEMS, INCLUDING VARIABLE AND DISCONTINUOUS TRANSVERSE AND AXIAL LOADS, BENDING STIFFNESS, ANGULAR RESTRAINTS, AND SUPPORT CONDITIONS. /AUTHOR/

• Supplemental Notes:
  • Hpr-1-4, 56-5, 3-5-63-56 /HPR-1-4/
• Corporate Authors:

  University of Texas, Arlington

  Arlington, TX  United States  76010
• Authors:
  • Ingram, W B
  • Matlock, H
• Publication Date: 1965-8

Subject/Index Terms

• TRT Terms: Axial loads; Bending; Constraints; Digital computers; Distributions (Statistics); Finite differences; Iterative methods; Loads; Mathematical models; Mechanical relaxation; Numerical analysis; Orthotropic; Stiffness; Structural plates; Structural supports
• Uncontrolled Terms: Models; Plates; Relaxation methods (Mathematics); Transverse distribution
• Old TRIS Terms: Grid beams; Layered system mechanics; Supports
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00207774
• Record Type: Publication
• Files: ITRD, TRIS
• Created Date: Feb 1 1994 12:00AM