Using the previously developed mathematical model of a vibration isolator with an elastic–hysteresis element made of metal–rubber material and the obtained approximate solutions of the nonlinear differential equation of the aircraft motion based on the Bubnov–Galerkin methods and a small parameter, the dependences for constructing shock–insulating characteristics for rectangular and semi–sinusoidal pulses are derived. It is shown that the error of these solutions in comparison with the exact solutions for some elastic characteristics, in particular, with a significant nonlinearity in the form of a cubic parabola, does not exceed 3.5%.
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