Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates

Volume: 178, Pages: 103723 - 103723
Published: Aug 1, 2022
Abstract
The 3D dynamic equations in elasticity for a thin transversely inhomogeneous plate are subject to asymptotic analysis over the low-frequency range. The leading and first order approximations are derived. The former is given by a biharmonic equation on the mid-plane generalizing the classical Kirchhoff equation for plate bending. A simple explicit formula for the effective bending stiffness is presented. The refined first order equation involves...
Paper Details
Title
Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates
Published Date
Aug 1, 2022
Volume
178
Pages
103723 - 103723
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