uses, on the one hand, the fact of the thermodynamic reversibility of development
processes and the reduction of interphase, and on the other hand, the dependence of the
potential energy of intermolecular interaction on temperature (instead of the traditional
use of the temperature dependence of the kinetic energy of the chaotic motion of the
working medium molecules).
2. In the case of continuous solution of initial-value problems with different
nonlinear discontinuous characteristics, analytical solutions are found for small time
intervals. At every step, initial-value problems with linear characteristics were solved.
3.The approximate solutions, obtained by the Runge-Kutta method, coincide
practically with the analytical solutions. This is the reliability confirmation of the
obtained results.
4. Nonlinear power characteristics such as engineering hysteresis reflect the
factual energy dissipation and provide the oscillation suppression.
5. During the modeling of nonlinear resistance of the working medium, the
problem of calculating the contact shank end velocity in the presence of high-frequency
oscillations of small amplitude arises. . Such oscillations are the cause of the sign speed
fluctuation, and therefore the resistance force. To take this effect into account it is
necessary to proceed to the determination of a certain average velocity.
6. The restriction of negative movements of the contact shank end can be
modeled, for example, by applying an additional rigid resistance in the case of negative
movements.
7. For a non-linear problem, the efficiency of a mixed difference scheme (a three-
layer scheme), whose parameters are determined by solving model problems by the
Fourier method, is shown.
8. The realization of the power characteristic is approximate, as the resistance
force magnitude changes abruptly and it happens when the velocity sign changes. For
more accurate modeling, it is necessary to organize an iterative process with a quite
maximum oscillation amplitude at the previous iteration.
9. The use of a new thermodynamic working medium- the HLS in the damper
design, that realizes the engineering hysteresis, reduces the oscillation amplitude
significantly and leads to a damped oscillation mode with a damping decrement within
1.4 ... 1.95. And this is established by the modeling of oscillation suppression process
for discrete and continual systems on condition of hysteresis damping.
BIBLIOGRAPHICAL REFERENCES
1. Manzhosov V.K. The modeling of transient processes and limiting motion
cycles of vibro-impact systems with discontinuous characteristics: monograph / V.K.
Manzhosov, D. A. Novikov. – Ulyanovsk: Ulstu, 2015. – 236p.
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