In this paper, an analytical method is presented to "nd the eigenfrequencies of a rectangular plate carrying a uniformly distributed mass. Using the standard Galerkin procedure, the equation of motion is reduced to a set of ordinary di!erential equations. From this set, the frequency equation is obt
Vibrations of a rectangular plate with distributed added mass
โ Scribed by Hirsch Cohen; Georege Handelman
- Publisher
- Elsevier Science
- Year
- 1956
- Tongue
- English
- Weight
- 649 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
The problem studied is that of determining the lowest frequency of vibration of a rectangular plate, simply supported on two edges and free on the other two, and carrying a rigid mass of finite width running completely across the plate. Appropriate minimum principles are developed and approximate frequencies computed. The frequency may be either less or greater than that of the unloaded plate depending on the ratio of the physical parameters.
๐ SIMILAR VOLUMES
Recently, an interesting study [1] was published in which the equation of free transverse vibrations of beams with two sections of partially distributed mass was derived and its exact solution obtained. The method was later generalized for the case of beams with multiple spans of distributed mass. M