Accession Number:

AD0683911

Title:

FINITE PLATE-BENDING ELEMENTS IN POLAR CO-ORDINATES

Descriptive Note:

Aeronautical rept.

Corporate Author:

NATIONAL AERONAUTICAL ESTABLISHMENT OTTAWA (ONTARIO)

Report Date:

1968-10-01

Pagination or Media Count:

38.0

Abstract:

Two finite elements for plate bending in polar co-ordinates are derived. One element is in the form of a circular sector and the other is in the form of an annular sector. The former element has nine degrees of freedom, while the latter has twelve, the degrees of freedom in each case being a displacement and two slopes at each element corner. The method is checked with several numerical examples. The static deflections of an annular plate and a complete circular plate, both loaded by single concentrated forces, are analyzed and the results compared with exact solutions. Calculations of the free vibrations of complete circular plates are also carried out and compared with exact solutions.

Subject Categories:

  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE