Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lame Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications
DOI10.4208/AAMM.OA-2019-0128zbMath1488.35533arXiv1906.11634MaRDI QIDQ5156965
Blaine A. Chronik, Jamal Sakhr
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.11634
cylindrical coordinatesexact solutionsNavier-Lamé equationBuchwald representation\(2\pi\)-aperiodicity
Connections of harmonic functions with differential equations in higher dimensions (31B35) PDEs in connection with mechanics of deformable solids (35Q74) Explicit solutions of dynamical problems in solid mechanics (74H05) Systems of linear higher-order PDEs (35G35)
Uses Software
Cites Work
- Influence of Geometric Imperfections and In-Plane Constraints on Nonlinear Vibrations of Simply Supported Cylindrical Panels
- Bessel Functions of Purely Imaginary Order, with an Application to Second-Order Linear Differential Equations Having a Large Parameter
- Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications
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