Vladimir S. Syromiatnikov Spacecraft Docing Devices deom SSI

rigidity of the interacting elements cif and by determining the value of their “introduction” into each other deformations 6^ are considered to occur along the common normal in the point of interaction, that is, To determine at the point of interaction one can use equation (4.15) with which one defines vector between points on the mobile and immobile rings. At the “introduction” of the rings the parameter w, which is equal to the length of vector , becomes negative. Then, where is the angle between vectors and For vector p is parallel to the plane of the immobile ring and lies in auxiliary plane For and 13-18 vectors are directed respectively along the radii of the rings and). For. The rigidity for various types of points of interaction may depend on their position, that is, on parameters and . For example, for for a change in the position of the point along the length of the guides, which are considered to be cantilevered beams, the rigidity is defined by the expression where are coefficients, is some rigidity constant. The forces of inertial shock absorbers depend on deformations and on their first and second derivatives To determine one can, as before, use two methods. The first method uses approximate characteristics of the shock absorbers (4.17); due to the effect of rotating elements of the shock absorbers, additional inertial forces arise in the relative motion of the ring, and they are considered by introducing equivalent masses and moments of inertia applied to the forward displacement of the ring. These are calculated relative to the axes of contact , For example, for the shock absorption system used in the Soyuz APDA, these values are defined by the following approximate formulas:

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