The steady-state behaviour of a floating elastic plate of bounded dimensions acted upon by a localized external load is investigated using linear shallow water theory. In the case of a plate of arbitrary shape, the problem reduces to solving a system of boundary-value integral equations supplemented
The action of periodic surface pressures on a floating elastic platform
โ Scribed by I.V. Sturova
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 851 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
โฆ Synopsis
A solution of the linear hydroelastic problem of the steady forced oscillations of a floating platform acted upon by a localized external load is given. The platform is assumed to be fairly thin and is modelled by an elastic plate with free edges. The method employed involves decomposing the region occupied by the liquid into subregions, bounded above either by a free surface or an elastic plate. A solution is obtained using an expansion of the required velocity potentials into eigenfunctions of the corresponding boundary-value problems. A beam plate of finite and semi-infinite length is considered in the plane case and a circular plate in the three-dimensional case. The solutions obtained for shallow water and for a liquid of finite depth are compared.
๐ SIMILAR VOLUMES
The scattering of long gravitational waves by a floating elastic plate is investigated using linear shallow-water theory. For a plate of arbitrary shape, the solution of the problem is reduced to a system of boundary integral equations. Using the example of a rectangular plate, the solution obtained
The two-dimensional scattering problem for time-harmonic plane waves in an isotropic elastic medium and an effectively infinite periodic surface is considered. A radiation condition for quasi-periodic solutions similar to the condition utilized in the scattering of acoustic waves by one-dimensional