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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 buckling displacement. Solution is provided for the flexural rigidity and the natural frequency. It is shown that, for each level of axial loading, there may exist up to five flexural rigidities satisfying the governing differential equation and boundary conditions. buckling load vibration graded...
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
... 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 resonances among these lower order modes may...
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