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- Title
Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms.
- Authors
Kobayashi, Kusuo; Yoshida, Norio
- Abstract
Timoshenko beam equations with external damping and internal damping terms and forcing terms are investigated, and boundary conditions (end conditions) to be considered are hinged ends (pinned ends), hinged-sliding ends, and sliding ends. Unboundedness of solutions of boundary value problems for Timoshenko beam equations is studied, and it is shown that the magnitude of the displacement of the beam grows up to ∞ as t → ∞ under some assumptions on the forcing term. Our approach is to reduce the multidimensional problems to one-dimensional problems for fourth-order ordinary differential inequalities.
- Subjects
TIMOSHENKO beam theory; DAMPING (Mechanics); FORCING (Model theory); BOUNDARY value problems; ORDINARY differential equations; MATHEMATICAL inequalities
- Publication
International Journal of Differential Equations, 2013, p1
- ISSN
1687-9643
- Publication type
Article
- DOI
10.1155/2013/435456