Investigating the effect of gyroscope on transverse vibrations and stability of milling tools with Euler-Bernoulli beam model

Authors

1 Faculty of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

2 Engineering and Technology, Mechanical Engineering,, Iran University of Science and Technology, Tehran,, Iran.

3 Faculty member of Iran University of Science and Technology, Faculty of Mechanical Engineering

10.22044/jsfm.2025.12947.3857

Abstract

In this study, the vibration behavior of a milling tool, accounting for the effects of gyroscopic forces and other influencing parameters, has been investigated numerically. The transverse vibrations of the milling tool were simulated using the Euler-Bernoulli beam model and Rayleigh beam theory, with the governing equations derived through Hamilton's principle. The natural frequencies and mode shapes for the first model, assuming a fixed boundary condition, were determined numerically using Ansys software and compared with results obtained from MATLAB. For the second model, with elastic and clamped boundary conditions, the natural frequencies and mode shapes were extracted using Ansys software and validated against experimental test results from a reliable reference. Furthermore, the stability of the tool and tool holder system was analyzed through MATLAB coding, examining the parameters affecting system stability. The sensitivity of the tool's natural frequencies to changes in its length was also investigated. The results indicate that, in the model with elastic connections, the dominant frequency occurs at lower values. Additionally, the depth of the axial cut significantly increases with the circumference.

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Main Subjects

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Journal of Solid and Fluid Mechanics
Volume 15, Issue 1
March and April 2025
Pages 65-81

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