A New Method of Solving the Problem of the Vibration of Plates

The general solution of the equation of the vibration of plates is formed by a series of Bessel functions and circular functions in polar co-ordinates. Frequencies of a rectangular plate calculated by this method showed good results, and frequencies of a triangular plate were calculated anew.

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Veröffentlicht in:Journal of the Society of Applied Mechanics of Japan 1949/07/31, Vol.2(10), pp.96-110
1. Verfasser: Itokawa, Hideo
Format: Artikel
Sprache:jpn
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Zusammenfassung:The general solution of the equation of the vibration of plates is formed by a series of Bessel functions and circular functions in polar co-ordinates. Frequencies of a rectangular plate calculated by this method showed good results, and frequencies of a triangular plate were calculated anew.
ISSN:1883-549X
1883-549X
DOI:10.2322/jjsass1948.2.96