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Well-posedness of the equations governing the motions of a one-dimensional hybrid thermo-elastic structure

✍ Scribed by Marié Grobbelaar-Van Dalsen

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
125 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper a model for the vibrations of a one-dimensional hybrid thermo-elastic structure consisting of an extensible thermo-elastic beam which is hinged at one end, with a rigid body attached to its free end, is studied with a view to establishing the existence of a unique solution in a weak sense. The model takes account of the e ect of stretching on bending and rotational inertia. By treating eigenvalue problems with the spectral parameter also in the boundary conditions, we are able to employ the method of Faedo-Galerkin approximations. Copyright ? 2004 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Uniform stabilization of a one-dimension
Uniform stabilization of a one-dimensional hybrid thermo-elastic structure
✍ Marié Grobbelaar-Van Dalsen 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract This paper is concerned with the stabilization of a one‐dimensional hybrid thermo‐elastic structure consisting of an extensible thermo‐elastic beam which is hinged at one end with a rigid body attached to its free end. The model takes account of the effect of stretching on bending and r