Modeling of Boring Mandrel Working Process with Vibration Damper

Abstract

The article considers the issue of modeling the oscillations of a boring mandrel with vibration damper connected to the mandrel with a viscoelastic coupling. A mathematical model of the boring mandrel oscillations, machine support and inertial body (damper) is developed in the form of a differential equations system. The model is made in the form of a four-mass system of connected bodies. The solution to the differential equations system was found using the finite difference method, as well as the operator method with the use of the Laplace transform. As the simulation result, it was found that the use of vibration damper can significantly reduce the amplitude of the boring mandrel natural vibrations when pulsed, and also significantly reduce the forced vibrations amplitude when exposed to periodic disturbing forces. The developed mathematical model and algorithms for the numerical solution to the differential equations allowed us to choose the optimal parameters of the boring mandrel damping element. The obtained data will be used to create a prototype boring mandrel and conduct field tests.

Experimental Study of Drilling Temperature, Geometrical Errors and Thermal Expansion of Drill on Hole Accuracy When Drilling CFRP/Ti Alloy Stacks

“…In the future, several field experiments are planned in order to assess the adequacy of the proposed experimental procedure and the use of FEM software. The aim will be to extend the research to various other materials [ 55 ], to other machining methods [ 56 ], to other types of drilling tools, to setting up the experiment [ 57 ] with the ambition of predicting various parameters as a result of drilling [ 58 ], and to optimizing technological conditions [ 59 ]. These may be experiments in the technological laboratory of the Center of Excellence for 5-Axis Machining at the Slovak University of Technology in Trnava.…”

The Method of High Accuracy Calculation of Robot Trajectory for the Complex Curves

“…Authors [8] solve the Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions, and author in [9] describe the growth of polynomials outside of a compact set-The Bernstein-Walsh inequality revisited, and further, the authors [10] deal with the approximation and Entropy Numbers of Embeddings Between Approximation Spaces. Many outputs of approximation techniques are widely used in mechanics, economics, mechatronics, robotics [11,12], instrumentation, technology [13,14,15], assembly [16,17], informatics [18,19] etc. The general disadvantage of all methods is that they have miscalculations.…”

Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) through the Modal Approach

“…TMD analyses are conducted in various fields of science. The study by Peterka et al [9] involved modeling the vibrations of a drilling mandrel with a vibration damper linked with the mandrel via a viscoelastic coupling. A system with three degrees of freedom with an additionally installed TMD was modeled and the efficiency of such a solution demonstrated.…”