Torsional Vibrations of Pretwisted Cantilever Plates
Keyword(s):
A pretwisted cantilever plate is treated as a thin shallow shell. Its potential and kinetic energies in torsional vibration are determined by assuming an appropriate displacement field. Applying Hamilton’s principle, the problem is reduced to a fourth-order ordinary differential equation with constant coefficients, which is solved to obtain the first four torsional frequencies of vibration. Plates of aspect ratios varying from 1.0 to 8.0 are analyzed with pretwist angles varying from 0 to 90 deg. Results of the present analysis are compared with existing theoretical and experimental results.
1964 ◽
Vol 281
(1385)
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pp. 184-206
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2015 ◽
Vol 2015
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pp. 1-7
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2005 ◽
Vol 18
(4)
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pp. 439-444
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1978 ◽
Vol 65
(1)
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pp. 20-25
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2018 ◽
Vol 2018
(1)
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pp. 48-56
Convergence of the Sinc Method for a Fourth-Order Ordinary Differential Equation with an Application
1995 ◽
Vol 32
(5)
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pp. 1475-1503
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