Accession Number:

AD0654435

Title:

APPLICATION OF THE MODIFIED REISSNER VARIATIONAL PRINCIPLE TO A FORTY-FIVE DEGREE SKEW CANTILEVER PLATE PROBLEM,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN DEFENSE RESEARCH LAB

Personal Author(s):

Report Date:

1960-01-01

Pagination or Media Count:

58.0

Abstract:

The thesis makes use of the modified Reissner variational principle to obtain an approximate solution for the static deflection of a forty-five degree skew cantilever thin plate with sides of equal length, loaded with a uniformly distributed load. The static deflection of the plate with a uniformly distributed load is also obtained by experimental methods for comparative purposes. Approximations of the first three modes of vibration are also obtained using the modified Reissner variational principle and compared with other theoretical and experimental results. To apply this principle, assumptions are made, in the form of polynomials, for the deflection shape and the moment distribution of the plate. A study is made to determine more accurate polynomial expressions for chordwise moment and twisting moment without increasing the number of terms of the original form for these expressions. The results constitute an improvement over previous analytical results. Author

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE