Mathematical Description of THE Traction Characteristics of the Driving Devices at Spatial Stiffness Compensators of the Vibration Isolation Installations

Abstract

Abstract. During the researches the mathematical description of the traction characteristics of the stiffness compensators of the vibration isolation devices, relatively of the each axis, has been done. Representation of the compensators properties considers the variable load, thereby provide the wide enough spectrum of the action of the suggested vibration isolators. The derived expressions are valid for all three axes of space at the different stiffnesses, i.e. basic basic and two compensating. The research was supported by the scholarships of Russian Federation President for young scientists №184 from 10th of March 2015. IntroductionThe use of the power machine not only in industry, but and in any type of the vehicles (auto, watercraft, metro, trams, trolleybuses) inevitably leads to vibration. The vibration negatively impacts on reliability, lifetime of the machines, buildings, installations, where it were installed, and also on the system of automatic control. It is not rarely, that vibration is one of the reasons of the accidents. But the particularly harmful impacts on human body. The human, unwittingly falls under the negative influence of the vibration, during the driving of the all types of the vehicles, and which subsequently causes a variety of diseases. Therefore the issue of the decreasing of the transmitted vibrations stands very acute.During the last time many types of the vibroprotection devices have been made [3,[7][8][9][10][11], but many of it does not decrease the level of the vibration down to normal level, satisfying to State Standards. Most of perspective method of decreasing of the vibration levels, created by power installations is using of the vibration isolation suspensions with floating area of zero stiffness [1,2,5]. The principle of the operation of the vibroprotection mechanisms is shown on figure 1. Under the limited values of the vibration isolation movement of the suspension H and under the certain range of the traction changing from P max to P min , transmitted from protected object to vibroprotection device, the traction characteristics of the vibroisolating mechanisms, provides the ideal vibration isolation of the system, are infinite number of the segments. These segments have a length 2A (magnitude of the oscillation), which in parallel of abscise axis and placed by its middles on AB line, which is ramped to abscises axis under the certain angle. The tangent of this angle is equal of the stiffness of the suspension.