期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2017
卷号：6
期号：12
页码：22769
DOI：10.15680/IJIRSET.2017.0612096
出版社：S&S Publications
摘要：Any physical, structural, mechanical, fluid and heat transfer problems can well be described in a domainof interest by second order ordinary differential equations with suitable boundary conditions. The closed form or exactsolutions can easily be determined for most of these problems provided if their geometries are simple in nature.However for complex geometries and arbitrary boundary conditions, finding a closed form solution is a formidabletask. In such cases, approximate methods find suitable alternative to solve complex problems. In engineeringapplications, several approximate methods of solutions are used. One of such numerical and computer basedapproximate techniques is finite element method (FEM).FEM finds applications in static and dynamic analyses ofmechanical structures or sub-structures. Dynamic analysis can be used to find dynamic displacements, time history andmodal analysis of mechanical structures. These structures include not only machine tools but also their components andcutting tools. Dynamic analysis for simple structures can easily be carried out analytically, but for complex structures,the use of finite element method (FEM) is a must. In view of the importance attributed to the concept of FEM inengineering analysis, the present work focuses ondynamic analysis of single point cutting tool and end mill cutter bymodelling them as cantilever beam and stepped shaft respectively. As a matter of fact, these tools will experience someamount of vibrations when they put to use on the corresponding machine tools. In this work, only axial or longitudinalvibrations of such tools are considered. The free vibrations of cutting tool models – cantilever beam and stepped shaft –are presented by considering simple finite line elements. In addition, the element stiffness and mass matrices of a bar orline element were utilized in determining the natural frequenciesof FE (finite element) models. The work hereinhighlights the dynamic analyses of cantilever beam and stepped shaft for different grid models of elastic structures.Furthermore the numerical part of this work was carried out on MATLAB and ANSYS.
关键词：Dynamic analysis; Simple cutting tools; Finite Element Method
