Three-Dimensional Analysis of the Free Vibration of Thick Rectangular Plates With Depressions, Grooves or Cut-Outs
1996 ◽
Vol 118
(2)
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pp. 184-189
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Keyword(s):
A solution is presented for the free vibration of very thick rectangular plates with depressions, grooves or cut-outs using three-dimensional elasticity equations in Cartesian coordinates. Simple algebraic polynomials which satisfy the boundary conditions of the plate are used as trial functions in a Ritz approach. The plate is modelled as a parallelepiped, and the inclusions are treated quite straightforwardly by subtracting the contribution to the strain and kinetic energy expressions of the volume removed, before minimizing the functional. The approach is demonstrated by considering a number of square thick plate cases, including a plate with a cylindrical groove, a shallow depression or a cylindrical cut-out.
2009 ◽
Vol 44
(4)
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pp. 249-261
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1977 ◽
Vol 99
(1)
◽
pp. 17-25
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2014 ◽
Vol 108
◽
pp. 565-577
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1998 ◽
Vol 19
(7)
◽
pp. 615-624
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Keyword(s):
2020 ◽
Vol 180
◽
pp. 105711
Keyword(s):
2020 ◽
pp. 1-22
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