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A revisit of spinning disk models. Part I: derivation of equations of motion by N. Baddour; J.W. Zu is a Engineering article available to read on EtoBox.

What is A revisit of spinning disk models. Part I: derivation of equations of motion about?

Previous models of spinning disks have focused on modelling the disk as a spinning membrane. The eect of bending stiness was then incorporated by adding the appropriate term to the previously derived spinning membrane equation. A pure spinning plate model does not exist in the literature. Furthermore, in both existing linear and nonlinear models of spinning disks, the in-plane inertia and rotary inertia of the disk have been ignored. This paper revisits the derivation of the equations of motion of a spinning plate. The derivation focuses on the use of Hamilton's principle with linear Kirchho and nonlinear von Karman strain expressions. In-plane and rotary inertias of the plate are automatically taken into account. The use of Hamilton's principle guarantees the correct derivation of the corresponding boundary conditions. The resulting equations and boundary conditions are discussed.

Who reads A revisit of spinning disk models. Part I: derivation of equations of motion?

It is typically read by researchers, students, and practitioners in Engineering.

Author
N. Baddour; J.W. Zu
Publisher
Elsevier Science; Elsevier ; Elsevier BV (ISSN 0307-904X)
Published
2001
Language
EN
Field
Engineering (Physical Sciences)

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