Abstract

Machine assembly with additional degrees of freedom is considered. The method of direct separation of motions was used for research. It was shown that the braking vibration moment occurring by the reason of resonance effects in the driven object can lead to excitation of rotor oscillations of the assembly with a occurrence of slow oscillations of the vibration exciter rotor is demonstrated. frequency lower than the rotation frequency. Slow rotor oscillations represent a transient process to the stationary motion mode, which is established when an additional load torque occurs. Moreover, the maximum oscillation amplitudes will be relatively large. By the example of a vibration machine with an inertial drive, the occurrence of slow oscillations of the vibration exciter rotor is demonstrated.

Highlights

  • Oscillation of machine assemblies drives is an important engineering problem

  • This paper investigates the dynamics of a machine assembly with an elastic transmission mechanism

  • : the results given in the article [Blekhman and Kremer, 2017] concerning stationary modes of motion 0 const and their stability are valid for the considered dynamic model of the machine assembly; the availability of an elastic-damping transmission mechanism in the drive of the assembly does not affect the slow motions of the rotors

Read more

Summary

Introduction

Oscillation of machine assemblies drives is an important engineering problem. Oscillations of drives are investigated in many publications on machine assemblies. This paper investigates the dynamics of a machine assembly with an elastic transmission mechanism It is shown by the method of a small parameter that when starting an assembly with a nonideal motor, a stationary mode of motion is possible, leading to the Sommerfeld effect. An expression is obtained for the additional average moment of resistance forces, driven to the motor rotor, caused by energy losses during oscillations This moment is called vibrational in many works [Blekhman, 1971; Blekhman, 2018; Kolovskii, 1985]. A rigorous analytical study of the resonant dynamics of oscillatory systems with limited excitation was first performed by Ilya Izrailevich Blekhman [Blekhman, 1953] Later, in his works devoted to this topic, a number of significant results were obtained, as well as new ideas for understanding the Sommerfeld effect were presented. This work is devoted to development of results of the article [Blekhman and Kremer, 2017]

System diagram and equations of motion
The equation of fast motions of machine assembly
Conclusion
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call