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A new approach to the forced vibration of thin plates

โœ Scribed by B.K. Donaldson


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
932 KB
Volume
30
Category
Article
ISSN
0022-460X

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โœฆ Synopsis


This paper presents a new, approximate method of analysis in the classical style for the response of a thin plate to a single frequency, forced harmonic vibration. The plate may be quadrilateral or triangular, and it may have any boundary conditions. The distinctive feature of the method is the manipulation of certain tractable boundary conditions in order to obtain a solution which satisfies the given boundary conditions when the latter do not allow the direct calculation of a series solution. The tractable boundary conditions are described by finite Fourier series. This method may be applied to other boundary value problems for which there is a complete series solution to the governing differential equation.


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โœ B.K. Donaldson ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 778 KB

This paper presents a new, approximate method of analysis for the response to forced harmonic vibration of a finite structure composed of a fiat plate continuous over, and rigidly attached to, a grid of open section beams. The beam grid may have any form, the fiat plate may have polygonal cutouts, a