Model of paraсhute opening with 2 degrees of freedom at axially symmetric potential flow

Аuthors

Ponomarev A. P., Bakulin V. N.^*

Institute of Applied Mechanics of Russian Academy of Science, IAM RAS, 32a, Leninskii av., Moscow, В-334, GSP-1, 119991, Russia

*e-mail: vbak@yandex.ru

Abstract

The model of parachute inflation, having two degrees of freedom and consisting of a circular cone canopy, a suspending lines and a dot weight is considered. The model can move vertically as the rigid whole and change a cone angle. Movement occurs in an ideal incompressible liquid, the flow around of the canopy is supposed potential. It is shown, that the Lagrange's second kind equations are equivalent to the condition of energy conservation and the equation for a pulse. Diagrams of the attached mass factors (attached moment of inertia) with reference to a deformable cone are pictured. Parameters of model movement in particular, size of stretching effort peak in suspending lines, and their dependence of initial conditions are determined.

Keywords:

parachute canopy, model of inflation, axissymmetric potential flow, method of the discrete vortex, attached weights, point weight, rigid suspending lines, stretching peak in suspending lines, motion equations, flow functions.