Vladimir S. Syromiatnikov Spacecraft Docing Devices deom SSI

The ideal spring completely returns, “recovers” the kinetic energy of the body and as in an absolutely elastic impact; the ideal friction shock absorber which has a characteristic of type without considering the elasticity of the construction provides . For real shock absorbers the value of -s lies between these two extreme values, . To obtain specific values of s in shock absorbers, damping is introduced. For example, for a linear shock absorber consisting of a linear damper, which creates a force proportional to the velocity of deformation with a coefficient of attenuation kA and an ideal spring with rigidity , the equivalent model is described by a linear differential equation The coefficient of recovery in this case may be calculated from finite formulas; for real roots and of the characteristic equation for complex roots Thus, the coefficient of recovery is invariant relative to the initial velocity, but depends on the value of (Figure 6.1). To obtain the required value of s one must provide a certain correlation between and (Figure 6.2). The invariance

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