Analysis of horizontally polarized shear waves on a highly inhomogeneous loaded bi-material plate

• DOI: 10.3934/math.2023109
• Publication Date: 2022-10-28T11:23:09Z
• Authors: Maha M. Helmi; Ali M. Mubaraki; Rahmatullah Ibrah...
• Keywords: Dispersion relation; Foundation (evidence); Shear waves; Harmonic

<abstract><p>The current manuscript critically examines the propagation of horizontally polarized shear waves on dispersion a highly inhomogeneous thin bonded bi-material plate when load due to Winkler's elastic foundation is prescribed. An analytical procedure solution deployed for study; in addition exploitation effective boundary conditions approach asymptotic examination. The overall inference study realization fact that vibrational displacements both layers are enhanced by an increase inhomogeneity parameter; at same time lessened with increment parameter. Moreover, perfect approximation relation has been realized, its validity extending almost entire low-frequency range. Lastly, influence material noted affect fundamental mode, as against presence parameter which affects first harmonic curve. More so, two parameters narrows chances propagation.</p></abstract>