Approximate First Natural Frequencies of Uniform Thin Plates with Slightly Noncircular Boundaries.
Abstract
An attempt was made to obtain first natural frequencies of vibration of slightly noncircular plates by regular perturbation theory. The method of this study assumed a three term asymptotic series to represent the mode shape of a freely vibrating plate. The first term was recognized to be the mode shape of an equivalent circular plate. The second and third terms represented approximations, in decreasing significance, of higher mode shapes of a circular plate. Boundaries of the noncircular plate were represented by the first few significant terms of a Fourier series. Restraint conditions at the plate conditions at the plate boundaries were specified and the assumed mode shape was satisfied at the boundary given by the Fourier series. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0748355
Entities
People
- Robert L. Staloch
Organizations
- Air Force Institute of Technology