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EN
Considered forced oscillations in vertical plane of two most widespread parachute systems (PS) models - a rigid model and a non-rigid parachute and payload model. In the equations of PS the coefficient of the normal aerodynamic force of the canopy is taken as the nonlinear dependence on the angle-of-attack of the canopy. The analysis of forced oscillations is carried out the method of harmonic linearization. The received expressions allow as to compute the frequency characteristics of PS in the frequency range of main and subharmonic resonances (of order 1/2 and 1/3).
EN
This paper deals with the following mathematical models of the parachute system(PS): - Mathematical model of the PS motion at the inflation and descent stages, - Mathematical model of the parachute inflation, When solving the considered problems the descending object is assumed to be a solid body, the parachute canopy has a symmetrical form, and the PS moves a calm atmosphere at a subsonic speed. The PS motion at the stages of inflation and decent is described by a system of ordinary differential equations. A model of the PS inflation is described in terms of the theory of soft permeable shells reinforced by flexible ribbons. The mathematical models used in calculations allow for finding a trajectory, determination of the kinetic parameters of the PS motion, and computation of the forces acting in the canopy structural elements and forces acting in the joint between the parachute and body.
EN
A problem of aerodynamic characteristics' determination of the object-parachute system on the example of a plane motion of axisymmetrical parachute with a hinged spherical cargo is considered. A method that is used is based on analytical sequel of solving the problem of simultaneously identification in two parameters. One of the parameters is introduced for measurement errors of motion and the second one for decreasing of calculation and errors of effects of bad of the motion (according to accepted of measurements). The results of show that the used method allows solving the identification problem even for big of a priori approximations of the identified (when compare to the Gauss- Newton method).
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