BUCKLING OF PLATES OF VARYING STIFFNESSES

BY REPLACING THE CONTINUOUS SYSTEM OF THE PLATE WITH A DISCRETE SYSTEM OF BEAMS AND TORSIONAL PANELS WITH FINITE DEGREES-OF-FREEDOM, A GRID FRAMEWORK MODEL IS FORMULATED FOR OBTAINING THE CRITICAL BUCKLING LOAD OF PLATES WHOSE STIFFNESS CHANGES ABRUPTLY IN TWO DIRECTIONS. THIS APPROACH IS THEN GENERALIZED TO CONSIDER THE EFFECT OF LATERAL DEFORMATIONS BY A MATHEMATICALLY CONSISTENT FIRST ORDER FINITE-DIFFERENCE METHOD. HOWEVER, IT IS FOUND THAT THE EFFECT OF POISSON'S RATIO ON THE CRITICAL BUCKLING LOAD IS NEGLIGIBLE. THE ADVANTAGE IN THE DISCRETE FORMULATION IS THAT NO FICTITIOUS POINTS NEED BE CONSIDERED, THEREBY MAKING IT POSSIBLE TO DEAL EASILY WITH CASES OF NONHOMOGENEITY, COMPLEX BOUNDARY CONDITIONS, ETC. AN ADVANTAGE OVER THE FINITE ELEMENT METHOD IS THAT THE NUMBER OF EQUATIONS ARE FAR LESS, SINCE THERE IS ONLY ON UNKNOWN AT A GRID POINT. NUMERICAL EXAMPLES FOR DIFFERENT BOUNDARY CONDITIONS ARE PRESENTED TO SHOW THE CONVERGENCE AND VERSATILITY OF THE METHOD. /ASCE/

• Supplemental Notes:
  • Vol 95, No ST6, PROC PAPER 6635, PP 1313-1337, 13 FIG
• Authors:
  • Paramasiam, P
  • Rao, S
  • Jawalker, K
• Publication Date: 1969-6

Media Info

• Serial:
  • Journal of the Structural Division
  • Publisher: American Society of Civil Engineers

Subject/Index Terms

• TRT Terms: Buckling; Distributions (Statistics); Finite differences; Mathematical analysis; Numerical analysis; Stiffness; Structural plates
• Uncontrolled Terms: Model tests; Plates
• Old TRIS Terms: Discrete distributions
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00209048
• Record Type: Publication
• Files: TRIS
• Created Date: Sep 29 1994 12:00AM