Effect of Stiffening Ribs on the Dynamic and Static Stiffness of a Computerized Numerically Controlled Machine Tool Column
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2015 by IJETT Journal|
|Year of Publication : 2015|
|Authors : Arun Kumar Arya, Dhananjay Gupta
|DOI : 10.14445/22315381/IJETT-V30P243|
Arun Kumar Arya, Dhananjay Gupta"Effect of Stiffening Ribs on the Dynamic and Static Stiffness of a Computerized Numerically Controlled Machine Tool Column", International Journal of Engineering Trends and Technology (IJETT), V30(5),228-234 December 2015. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group
Column stiffness affects the dimensional accuracy of the work-pieces machined on a CNC machine tool. The static stiffness is characterized by column displacement whereas the dynamic stiffness is a function of the natural frequency of the column. A computational procedure based on ANSYS, a finite element package, for the static and dynamic analysis of a CNC machine tool column was applied [1, 2]. Derived parameter method  developed by the authors was used for mathematical modelling. Practically, for a column of high stiffness, the displacement should be as low as possible and the natural frequency should be far away from the operating speed zone of the machine tool. Besides, for a given displacement d, the material volume requirement, v for an optimal column must be minimum. Put together, the product P of displacement d and material volume v must be minimized in order to optimize a column. Hence, the minimum values of Product, P (d*v) as well as displacement, d have been used as the optimization criteria for column design. For dynamic stiffness, it is aimed to achieve the highest possible natural frequency. The impact of the number and cross-sectional area of horizontal as well as vertical stiffening ribs on column displacement and its natural frequency was studied. The results obtained and the conclusions derived have been reported in the paper.
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Displacement, finite element, column, stiffness, ribs.