Motion Modes of Shock System for Fluctuating Force Linear Function With Changing Characteristics
Multiple technological processes are often related to using shock systems for performing of cyclic shocks on the object. Research of such systems’ dynamics, stability of motion, shock activity level requires examination of shock processes in systems with different structures. At the same time, a number of problems, confining an area of application of shock systems, arise. They are the following: finding of solutions by exact methods; taking into account complimentary nonliner factors; analysis of transient processes; detection of limit cycles of motion. These problems can be solved by means of developing the effective dynamic system simulation procedures based on the adequate mathematical models, process visualization, and representation and good processing of simulation results. The paper [1] provides an examination of the model of shock system, as well as the definition of its parameters, ensuring a required low of motion. However, a considered piecewise constant force impact may be applied to an ideal situation that is difficult to implement with a real system. Thus, it is required to know how the change of force impact would effect the mode of striker’s motion. The present paper deals with a model for shock system at force impact as linearly increasing and linearly decreasing function when force impulse, duration and period of the force impact are constant as at the piecewise constant function. A mathematical model for the shock mass motion under condition of collision with rigid barriers is given. The modeling of shock system motion at the forceimpact piecewise constant, linearly increasing and linearly decreasing function is implemented. The comparative analysis of presented simulation results is performed. The motion mode of shock system at linearly increasing and linearly decreasing functions has been changed against the mode at the forceimpact piecewise constant function (although the force impulse was constant in both cases). Following the results of implemented work, it may be deduced that the changing the force linear function characteristics, when impulse and duration of force, and part of cycles are constant at an appropriate systemparameter option, does not misrepresent the cyclic mode of shock mass motion if the process would be estimated at such criteria as velocity of shock to the right barrier, implementing of one impact per a cycle at the maximal velocity, and a cyclic behavior of impact. Shock system, motion modes of shock system, limit cycles of motion, modeling, cyclic mode of motion.
