학술논문
Dynamic modeling of a simply supported beam with an overhang mass
Document Type
Report
Source
Pollack Periodica: An International Journal for Engineering and Information Sciences. August, 2022, Vol. 17 Issue 2, p42, 6 p.
Subject
Language
English
ISSN
1788-1994
Abstract
The aim is to derive an expression to calculate the natural frequencies and plot the mode shapes of a simply-supported beam with an overhang with an end overhang point mass by using the Euler-Bernoulli theory in the case of free transverse vibrations. The results are validated by finite element analysis. The importance of the system presented is that it can represent machine tool spindles or even machining tools like boring bars. The results are in good agreement with the results from the finite element analyses. The derived expression can be used in optimizing the value of the point mass and optimizing the support location for better performance of the system without the need to perform complex analysis to obtain the values of the natural frequencies and to plot the mode shapes. KEYWORDS beam, pinned-pinned-free, vibration, Bernoulli beam, transverse vibration
1. INTRODUCTION Beams with different configurations can be essential elements in representing engineering systems, starting from truck axels [1] to sandwich beams structures [2] to machine-tool systems, mainly when it [...]
1. INTRODUCTION Beams with different configurations can be essential elements in representing engineering systems, starting from truck axels [1] to sandwich beams structures [2] to machine-tool systems, mainly when it [...]