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Lamb waves in
nonlocal elastic plate with voids
Gurwinderpal Kaur, Dilbag Singh and S. K. Tomar |
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Vol. 16 (2021), No. 4, 389–405
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Abstract |
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The propagation of Lamb-type waves in a nonlocal elastic plate with voids having uniform thickness has been investigated. Using appropriate boundary conditions, the dispersion relations corresponding to symmetric and antisymmetric vibrations have been presented. It is found that the both symmetric and antisymmetric families face critical frequency beyond which they cease to propagate. For the fundamental modes, the phase speeds, the attenuation coefficients and their mode shapes are computed numerically for a particular model. The effect of nonlocality and void parameters on these phase speeds and attenuation coefficients has been depicted and the results obtained are presented graphically. |
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Keywords
Lamb waves, nonlocality, voids, dispersion, attenuation
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Milestones
Received: 3 September 2020
Revised: 16 April 2021
Accepted: 10 May 2021
Published: 26 September 2021
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Authors |
| Gurwinderpal Kaur | |
| Department of Mathematics Panjab University Chandigarh 160 014 India |
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| Dilbag Singh | |
| Department of Mathematics Panjab University Chandigarh 160 014 India |
University Grants Commission New Delhi 110 002 India |
| S. K. Tomar | |
| Department of Mathematics Panjab University Chandigarh 160 014 India |
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