Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms | Zendy

Kusuo Kobayashi | Zendy; Norio Yoshida | Zendy

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Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms

Author(s) -

Kusuo Kobayashi,

Norio Yoshida

Publication year - 2013

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2013/435456

Subject(s) - forcing (mathematics) , timoshenko beam theory , boundary value problem , beam (structure) , displacement (psychology) , mathematics , mathematical analysis , ordinary differential equation , term (time) , differential equation , physics , psychology , quantum mechanics , optics , psychotherapist

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 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

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