Modal Method for Free Vibration of Oval Cylindrical Shells with Simply Supported or Clamped Ends.
Abstract
The free vibration of an oval cylindrical shell of finite length was investigated. The analysis was based upon the kinematic relations of the first-order shell theory of Sanders, which is readily reducible to the Donnell-type of shell theory via a tracing constant k sub s. In-plane inertia was retained throughout the present analysis. A method incorporating a type of eigenfunction expansion into Hamilton's principle, suitable for the present class of problems, was developed. Such a method was judged to be far more convenient than a parallel Fourier analysis. In addition to the determination of the natural frequencies and deformation characteristics, attention was focused on the influence of various types of simple support and clamped conditions enforced at the edges of the shell. Two modes of deformation, corresponding to a 'higher' and a 'lower' frequency were observed to exist for every pair of axial and circumferential wave numbers, depending upon the degree of circumferential symmetry in the deformed pattern. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1975
- Accession Number
- ADA029641
Entities
People
- Joseph Kempner
- Y. N. Chen