Effect of Stiffening Ribs on the Dynamic and Static Stiffness of a Computerized Numerically Controlled Machine Tool Column
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International Journal of Engineering Trends and Technology (IJETT) | 
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| © 2015 by IJETT Journal | ||
| Volume-30 Number-5 |
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| Year of Publication : 2015 | ||
| Authors : Arun Kumar Arya, Dhananjay Gupta |
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| DOI : 10.14445/22315381/IJETT-V30P243 |
Citation
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
Abstract
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 [1] 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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Keywords
Displacement, finite element, column,
stiffness, ribs.