It is shown by using a formal perturbation expansion, that unsymmetric equilibrium states branch from axisymmetric buckled states of the uniformly compressed and clamped circular plate. The process is called secondary buckling and the edge thrusts at which the branchings occur are called the secondary buckling loads. In the neighborhoods of the secondary buckling loads that are studied, the secondary states exist for thrusts less than the secondary buckling loads. The minimum secondary buckling load is approximately 7.5 times the primary buckling load of the plate. The linear boundary value problems that are obtained in the application of the perturbation method are solved numerically. (Author)

  • Supplemental Notes:
    • Prepared in cooperation with William Paterson Coll. of New Jersey, Wayne. Also available in STAM Jnl. of Applied Mathematics, V26 n3 p490-495 May 74.
  • Corporate Authors:

    New York University, New York

    Courant Institute of Mathematical Sciences
    New York, NY  United States 

    Office of Naval Research

    Department of the Navy, 800 North Quincy Street
    Arlington, VA  United States  22217

    National Science Foundation

    1800 G Street, NW
    Washington, DC  United States  20550

    William Patterson College of New Jersey

    Wayne, NJ  United States 
  • Authors:
    • Reiss, E L
    • Cheo, L S
  • Publication Date: 1973-2-26

Media Info

  • Pagination: 8 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00084440
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: NYU-ONR-H50
  • Files: TRIS
  • Created Date: Jun 26 1975 12:00AM