[HTML][HTML] Dispersion of elastic waves in a strongly inhomogeneous three-layered plate

J Kaplunov, DA Prikazchikov… - International Journal of …, 2017 - Elsevier
International Journal of Solids and Structures, 2017Elsevier
Elastic wave propagation in a three-layered plate with high-contrast mechanical and
geometric properties of the layers is analysed. Four specific types of contrast arising in
engineering practice, including the design of stiff and lightweight structures, laminated glass,
photovoltaic panels, and electrostatic precipitators in gas filters, are considered. For all of
them the cut-off frequency of the first harmonic is close to zero. Two-mode asymptotic
polynomial expansions of the Rayleigh-Lamb dispersion relation approximating both the …
Abstract
Elastic wave propagation in a three-layered plate with high-contrast mechanical and geometric properties of the layers is analysed. Four specific types of contrast arising in engineering practice, including the design of stiff and lightweight structures, laminated glass, photovoltaic panels, and electrostatic precipitators in gas filters, are considered. For all of them the cut-off frequency of the first harmonic is close to zero. Two-mode asymptotic polynomial expansions of the Rayleigh-Lamb dispersion relation approximating both the fundamental bending wave and the first harmonic, are derived. It is established that these can be either uniform or composite ones, valid only over non-overlapping vicinities of zero and the lowest cut-off frequencies. The partial differential equations of motion associated with two-mode shortened dispersion relations are also presented.
Elsevier
以上显示的是最相近的搜索结果。 查看全部搜索结果