Vladimir S. Syromiatnikov Spacecraft Docing Devices deom SSI

At maximum impact velocities the required energy capacity of the shock absorbers is determined. 5.2.2. Two-Dimensional Case A reduction of the degrees of freedom and the assumption that the velocity of slippage at the point of interaction does not change sign and is not equal to zero makes it possible to significantly simplify the equivalent mathematical model and consider friction. Friction at the point of interaction is assumed to be constant in direction and proportional to the normal force, so the total reaction is combined with the normal of angle ( is the coefficient of friction). The expression for the equivalent mass in this case has the form where 0i are the angles between vectors and the tangent in the point of interaction. The equations of the deformation of two shock absorbers: If there are longitudinal (with deformations along axis ,) and transverse (with deformations along axis y:) shock absorbers (Figure 5.3), then and and the equations of deformation acquire the form

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