Free Vibration of a Rectangular Plate Supported on the Sides and Some Segments

A theoretical method of analysis is presented for the study of the free vibration of a rectangular plate supported on the sides and elastically supported on some segments parallel to the sides. Applying the method to (1) a rectangular plate simply supported on the sides and elastically supported on...

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Published in:Bulletin of JSME 1977, Vol.20(147), pp.1085-1092
Main Authors: IRIE, Toshihiro, YAMADA, Gen, NARITA, Yoshihiro
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Language:English
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container_issue 147
container_start_page 1085
container_title Bulletin of JSME
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creator IRIE, Toshihiro
YAMADA, Gen
NARITA, Yoshihiro
description A theoretical method of analysis is presented for the study of the free vibration of a rectangular plate supported on the sides and elastically supported on some segments parallel to the sides. Applying the method to (1) a rectangular plate simply supported on the sides and elastically supported on a cross-shaped support located in the center of the plate and (2) a rectangular plate clamped on the sides and a rectangular support inside the plate, the equations for determining the natural frequencies and the mode shapes of the symmetrical and antisymmetrical vibration of such plates are derived. And the results of the numerical calculation carried out by the use of these equations are presented in some figures.
doi_str_mv 10.1299/jsme1958.20.1085
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title Free Vibration of a Rectangular Plate Supported on the Sides and Some Segments
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