A model for long wave motion in the vicinity of the cut-off frequencies of a pre-stressed incompressible elastic layer is constructed. In contrast with most earlier studies, the faces of the layer are assumed fixed, rather than free, and in consequence there is no fundamental mode. Appropriate asymp
The governing equations of a thin elastic stressed beam with a periodic structure
β Scribed by A.G. Kolpakov
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 576 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0021-8928
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β¦ Synopsis
The equilibrium equations, which govern the equations and boundary conditions for a thin elastic stressed beam with a periodic structure, are derived by the method of averaging. Unlike previous publications [1-3], initial stresses comparable with Young's modulus of the beam material are considered.
π SIMILAR VOLUMES
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 se
In this second paper, we consider again a set of elastic rods periodically distributed over an elastic plate whose thickness tends here to 0. This work is then devoted to describe the homogenization process for the junction of the rods and a thin plate. We use a technique based on two decompositions