Vibration Characteristics of Stiffened Plates
- 1 September 1960
- journal article
- research article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 2 (3) , 242-253
- https://doi.org/10.1243/jmes_jour_1960_002_032_02
Abstract
This paper describes methods of calculating natural frequencies of free flexural vibration of rectangular plates which have stiffeners parallel to one edge. An approximate frequency equation is derived for a clamped plate with closely spaced stiffeners by extending the Rayleigh method as applied by Warburton (1)† to rectangular isotropic plates. For a plate containing a single central stiffener, an exact frequency equation is derived for simply supported edges and an approximate fundamental frequency equation is derived for clamped edges. Comparison between observed and calculated frequencies is made and the practical effect of stiffening upon natural frequencies is discussed. The application of the Rayleigh method to the calculation of natural frequencies of integrally stiffened plates is illustrated by calculating frequencies determined by Hoppmann and Thorkildsen (2).Keywords
This publication has 5 references indexed in Scilit:
- Nodal Patterns of the Free Flexural Vibrations of Stiffened PlatesJournal of Applied Mechanics, 1957
- Bending of Orthogonally Stiffened PlatesJournal of Applied Mechanics, 1955
- The Vibration of Rectangular PlatesProceedings of the Institution of Mechanical Engineers, 1954
- Vibration of Rectangular Plates by the Ritz MethodJournal of Applied Mechanics, 1950
- Vibrations of free square plates: part II, compounded normal modesProceedings of the Physical Society, 1940