BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Hydroelastic waves and their interaction with structures - Alexand
er Korobkin (University of East Anglia)
DTSTART:20171107T133000Z
DTEND:20171107T143000Z
UID:TALK94576@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-author: S. Malenica (BV)\, T. Khabakhpasheva (Lavrentyev In
stitute of Hydrodynamics) \;
Linear problems of hydro
elastic wave diffraction by structures with vertical walls are studied for
a circular cylinder frozen in ice cover of constant thickness and infinit
e extent. The water depth is constant. The ice plate is modelled by a thin
elastic plate clamped to the surface of the cylinder. The cylinder is mou
nted at the sea bottom. One-dimensional incident hydroelastic wave of smal
l amplitude propagates towards the cylinder and is diffracted on the cylin
der. \; Deflection of the ice plate and the bending stresses in it are
determined by two methods: (a) using the integral Weber transform in radi
al direction\, (b) using the vertical modes for the fluid of constant dept
h with the rigid bottom and elastic upper boundary. The solution by the se
cond method is straightforward but we cannot prove that the solution is co
mplete because the properties of the vertical modes are not known. \;
The solution by the Weber transform is more complicated but this solution
is unique. We will show that these two solutions are identical. This resul
t justifies the method of the vertical modes in the hydroelastic wave diff
raction problems. For a circular cylinder the vertical-mode solution can b
e also justified by substitution. Different conditions at the contact line
between the cylinder and the ice sheet are considered. The wave diffracti
on problem for broken ice is also considered. It is shown how the problem
can be generalised to non-circular cylinders and interaction of several cy
linders in ice.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR