NATURAL FREQUENCIES OF ORTHOTROPIC CIRCULAR PLATES OF VARIABLE THICKNESS,
Abstract
The present investigation is concerned with the natural frequencies of orthotropic circular plates of variable thickness. In particular, a thickness variation of the form h = h sub o (1-H(R to the nth power)) has been selected. The derivation of the differential equation governing the motion of the plate is based on the classical formulation of the theory of plates. The solution of this equation for the axisymmetric case is obtained by an application of the method of Frobenius. Characteristic equations for the natural frequencies of clamped and simply supported plates are derived and numerical results are presented for several plates of various shapes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1968
- Accession Number
- AD0669900
Entities
People
- Alan P. Salzman
- Sharad A. Patel
Organizations
- New York University Tandon School of Engineering