𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The governing equations of a thin elastic stressed beam with a periodic structure

✍ Scribed by A.G. Kolpakov


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
576 KB
Volume
63
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Long wave asymptotic integration of the
✍ E.V. Nolde; G.A. Rogerson πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 284 KB

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

Well-posedness of the equations governin
✍ MariΓ© Grobbelaar-Van Dalsen πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 125 KB

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

Junction of a periodic family of elastic
✍ Dominique Blanchard; Antonio Gaudiello; Georges Griso πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 446 KB

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