ANALYTICAL AND EXPERIMENTAL DETERMINATION OF THE NATURAL FREQUENCIES AND MODE SHAPES OF SKEW PLATES.
Abstract
The accuracies of equivalent mass matrices for a triangular and rectangular element based on linearly varying static displacements were tested in natural frequency and mode shapes calculations for a simply supported square plate. Accuracies for the fundamental frequency of a nine degree-of-freedom plate were found within 10%. A lumped mass matrix resulted in an accuracy within 0.5%. The lumped mass and triangular element mass matrix were extended to frequency calculations for 60, 45, and 30 degree simply supported skew plates, each with aspect ratios of 1, 1/2, and 1/3. Results were disappointing when compared to experimental frequencies. Too many inaccuracies existed in the experimental and analytical method. Photographs were taken of mode shapes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1965
- Accession Number
- AD0615281
Entities
People
- Keete Lockett Hester
Organizations
- Air Force Institute of Technology