Abstract
On the basis of the developed simulation model and the Boltzmann-Volterra integral relations with kernels of relaxation and aftereffect, an equation was worked out, which made it possible to take into account the rubber viscoelastic properties in full volume; in this equation, stiffness operator of elastic suspension in the machine is written by using fractional exponential function of the Yu. Rabotnov’s type; on the basis of the mathematical model, the basic parameters of the machine under the study were calculated; in particular, for the vortex mixer, the time dependences of amplitude of the mixer housing vibrations and coefficient of vibration isolation efficiency were calculated with taking into account aging of elastic link material in the machines; the calculation results were compared with the results of industrial tests of the vortex mixer operation lasting for 16 years. The theory and method for calculating vibration isolation systems with rubber elastic links for heavy mining machines were developed with taking into account material structure changes due to the effects of aging.
Highlights
Vibration isolation of machines is part of general theory of elastic system vibrations
In the frequency range, which is characteristic for the vibration isolation systems of heavy machines, with an increase of the deformation rate, the energy dissipation decreases, and this fact contradicts the Kelvin-Focht and Maxwell models
The increase of dynamic stiffness (Fig. 5, curve 3) of the system elastic suspension by 60 % gives a calculated increase of amplitude of oscillations by (20 − 25) % according to equation (2) and (21); equation (14) more accurately takes into account the viscoelastic effects (Fig. 5, curve 2), but coincidence with the experiment (Fig. 5, curve 1) is observed exclusively in the first 3 − 4 years of operation
Summary
Vibration isolation of machines is part of general theory of elastic system vibrations. A great volume of literature is available on this issue; it is enough to mention the fundamental monographs of S.P. Tymoshenko, Den Gartog, Ya.G. Panovko, Ye.S. Sorokin, G.S. Pisarenko, V.L. Biderman, E.E. Lavendel and a number of other authors in order to present the importance of this problem for mechanical engineering and existing comprehensive knowledge about it. For some systems and facilities of vibration isolation, state standards have been worked out.
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