Abstract
The paper presents the results of investigation of the axial beat loads’ influence on the transverse rotating rods’ oscillations and their stability. The perforator's long drills are considered as objects of investigation.The analysis of different author’s papers that are studded the dynamics of oscillations of shafts and rotating rods is carried out. The relevance of the research topic is substantiated. The model of the considered dynamic system is described and equations of oscillations in space are given.The technique for investigation is presented. This technique is based on search for new bend forms of rotating rod by solving the equations of oscillations with using the Hubbolt time integration method and the polynomial functions (splines) that are described the current bend form. In it, the spline functions are found by current bend form approximation where each of the found functions is responsible to certain point of rod elastic line and describes the position of nearby points.Described technique was realized in a computer program with graphic user interface that is developed by author. Program allows to monitor for dynamics of the oscillatory motion of the modeled system in real-time by calculating and drawing the current band forms of the rotating rod during the oscillation.Diagrams with regions of stable and instable motion of the rods, that were found by different parameters and boundary conditions are shown. The analysis of the results is obtained and the conclusion about possibility of operating the equipment in certain frequency ranges is done. The space oscillating process of rotating rods is considered with account of the gyroscopic loads and geometric nonlinearity.
Highlights
The tasks of stress-deformed state and oscillations of elastic rotating rods, shafts and rotors have actuality while structural elements of machines and devices are designed
This paper presents the results of investigating the dynamic behavior of perforators’ long drills under action of an axial beat load
For investigation of the dynamics of motion for considered objects in this paper propose to use the technique in which the process of oscillation is modeled based on repeated solving the system of differential equations for every point of system in order to find the new coordinates of positions for these points in each point of time t+ t
Summary
The tasks of stress-deformed state and oscillations of elastic rotating rods, shafts and rotors have actuality while structural elements of machines and devices are designed. As result of review we can see, that investigating the dynamics of considered objects, the parametric oscillations of rotating rods under the action of periodic axial beat loads have an opened interest.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
