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Keywords: natural frequency
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 2022, 89(12): 121010.
Paper No: JAM-22-1268
Published Online: October 13, 2022
... are analytically solved by directly applying the model. Numerical results reveal that the microstructure and flexoelectric effects lead to enhanced extensional and bending stiffnesses of the shell. In addition, the first and second natural frequencies of the shell predicted by the new model are found to be higher...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. July 2013, 80(4): 041021.
Paper No: JAM-11-1395
Published Online: May 23, 2013
... , and b 2 are expressed via k in Eqs. (29)–(31) , respectively. Likewise, since P is a prespecified parameter, Eq. (33) provides us with values of squared natural frequency once k is known. Consider now the case Θ < 1 / 3 . The sign sequence...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. July 2013, 80(4): 041026.
Paper No: JAM-12-1147
Published Online: May 23, 2013
... and first mode (ω 2 ≈ 3ω 1 ), and between the third mode and first mode (ω 3 ≈ 3ω 1 ) may be activated. Whereas, when the Winkler parameter is large enough, the natural frequencies of some lower order modes are close to each other (see Fig. 2 ). From the mathematical viewpoint, the one-to-one internal...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011018.
Published Online: October 26, 2010
... by the balance of linear momentum. The natural frequencies for the in-plane and out-of-plane vibrations are calculated by both the Galerkin method and differential quadrature method. It can be found that natural frequencies of the in-plane vibrations are much higher than those in the out-of-plane case, which...
Journal Articles