Effect of broken ice on the wave resistance of an amphibian air-cushion vehicle in nonstationary motion

Abstract

The uniformly accelerated motion of an amphibian air-cushion vehicle on the surface of a basin covered by finely small ice floes is considered.

Variation in the wave resistance of an amphibian air-cushion vehicle moving over a broken-ice field

“…The required velocity potential function Φ(x, y, z, t) should satisfy the Laplace equation ∆Φ = 0 and the linearized boundary conditions [1]:…”

“…To obtain the best fit between calculation results and experimental data, it is proposed [6] to use the values α 1 L = α 2 L = 10. Similarly to [1], the problem is solved analytically using Fourier and Laplace transforms. As a result, we have the following integral formula for the calculation of the wave resistance of the AACV: …”

“…Provided that at the time t = 0, the vehicle does not move and there are no perturbations, except for the static deformation of the free surface, the initial conditions for the function Φ(x, y, z, t) are written as [1] ∂Φ ∂z z=0…”

“…where Ω is the region of distribution of the load q(x, y, t) and w(x, y, t) is the strain of the floating liquid surface, which in linear wave theory is defined in the specified coordinate system as follows [1]:…”

“…This work is a continuation of [1]. The hydrodynamic problem of the motion of an amphibian air-cushion on broken ice (AACV) is modeled by a system of surface pressures [2] which moves above the loaded free surface of a floating liquid [3,4].…”