For a differential scheme with small deviations of the ring, the components of force and momentum depend virtually only on the corresponding displacements and their first derivatives. Thus, one can find approximate dependences in the form To find these formulas we use: 1) the principle of possible displacements; 2) the link between coordinates and the lengths of the rods 3) the link between the lengths in the differential scheme; 4) rigidity and deformation characteristics of the elements; 5) transmission ratio in the kinematic scheme. Earlier (see Chapter 4) we used and basically examined the characteristics of a shock absorption system like (5.43); usually in calculations we speak of longitudinal, transverse, and angular shock absorbers, bearing this characteristic in mind. Tn a number of cases, for example, in the processing of testing results (readings of potentiometers associated with the displacement of rods in the coordinates of the ring), reverse conversions are necessary to, and one may obtain formulas with a different degree of approximation. 5.6.3. Shock Absorption in the Interaction of Rings Due to the interaction of the base of the guides with the ring longitudinal and transverse forces may arise. The transverse and angular shock absorbers operate, and the deformation of the latter at small angles for a two-dimensional case (Figure 5.19) may be reduced to a linear displacement equal to Since the direction of the general reaction is not known beforehand, it is expedient to use equations analogous to (5.21):
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