In (4.18), the equations of the relative motion of bodies 2 and 1 and the rotational motion of body 1 should consider additional inertial force Fa and momentum . The second method uses the characteristics of individual shock absorbers considering the second derivative of their deformation If the relative position of the center of mass of the ring in the system of coordinates is defined by the vector , the dynamic equation of relative motion of the centers of mass and the rotational motion of the ring are similar to (4.18) The second method has greater accuracy and possibilities, since it permits a consideration of more detailed characteristics of the shock absorbers, for example, the distribution of the applied mass and the rigidity of the intermediate elements. Chapter 5 Simplified Mathematical Models of Docking Dynamics Calculation of Shock Absorption Systems 5.1. Problems Solved Using Simplified Models The mathematical models examined in Chapter 4 are used in detailed studies of docking dynamics. Even with substantial simplifications these models are so
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