Výsledky vyhledávání - "Chronik, Blaine A"

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Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

Autor: Sakhr, Jamal, Chronik, Blaine A.

The forced-vibration response of a simply-supported isotropic thick-walled hollow elastic circular cylinder subjected to two-dimensional harmonic standing-wave excitations on its curved surfaces is studied within the framework of linear elastodynamic

Externí odkaz: http://arxiv.org/abs/2006.14370

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Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lam\'{e} Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications

Autor: Sakhr, Jamal, Chronik, Blaine A.

Publikováno v: Advances in Applied Mathematics and Mechanics, Volume 12, Issue 3 (2020), pp. 694-728

In a previous paper [Adv. Appl. Math. Mech. 10 (2018), pp. 1025-1056], we used the Buchwald representation to construct several families of separable cylindrical solutions to the Navier-Lam\'{e} equation; these solutions had the property of being $2\

Externí odkaz: http://arxiv.org/abs/1906.11634

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Harmonic Standing-Wave Excitations of Simply-Supported Isotropic Solid Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

Autor: Sakhr, Jamal, Chronik, Blaine A.

The vibration of a solid elastic cylinder is one of the classical applied problems of elastodynamics. Many fundamental forced-vibration problems involving solid elastic cylinders have not yet been studied or solved using the full three-dimensional (3

Externí odkaz: http://arxiv.org/abs/1904.02051

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Solving the Navier-Lame Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications

Autor: Sakhr, Jamal, Chronik, Blaine A.

Publikováno v: Advances in Applied Mathematics and Mechanics, Volume 10, Issue 4, pp. 1025-1056 (2018)

Using a separable Buchwald representation in cylindrical coordinates, we show how under certain conditions the coupled equations of motion governing the Buchwald potentials can be decoupled and then solved using well-known techniques from the theory

Externí odkaz: http://arxiv.org/abs/1704.06669

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