Chordwise Bending Deformations of Rectangular Plates.
Abstract
The Kantorovich method in conjunction with Hamilton's principle is used to develop a simple theory that approximates the classical theory of flexure for thin rectangular elastic plates that are clamped on the edge x = 0 and free on the edge x = 1. The transverse deflection w(x, y, t) of the plate is represented in the form f(x)v(y, t), where f(x) is a chosen function that satisfies the boundary conditions on the clamped edge and v(y,t) is treated as the independent variation function in Hamilton's principle. The simplified partial differential equation of motion is solved exactly for several free and forced vibration problems; a number of results are compared with experimental data and approximate and exact (where available) theoretical results obtained by other methods. The effect of nonconservative aerodynamic forces is included according to the approximations of piston theory, and two flutter analyses are performed for the edges y = 0, H being either simply supported or clamped and perpendicular to the direction of the stream. Plots of the variation of Mach number with thickness-to-length ratio of the plate are presented. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0730931
Entities
People
- Gary L. Anderson
- Wayne W. Walter