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Journal ArticleDOI

Torsional behaviour of machine tool columns

TL;DR: In this article, the analysis of prismatic columns for their torsional behaviour is presented, where the prismatic column is treated as a closed thin-walled beam and the problem is solved by using variational methods in conjunction with the finite difference technique.
About: This article is published in International Journal of Machine Tool Design and Research.The article was published on 1974-10-01. It has received 1 citations till now.
Citations
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17 Jan 2014
TL;DR: In this study it is observed that the orientation and aspect ratio of apertures have no significant effect on the static and dynamic rigidity of the machine tool structure.
Abstract: The performance of a machine tool is eventually assessed by its ability to produce a component of the required geometry in minimum time and at small operating cost. It is customary to base the structural design of any machine tool primarily upon the requirements of static rigidity and minimum natural frequency of vibration. The operating properties of machines like cutting speed, feed and depth of cut as well as the size of the work piece also have to be kept in mind by a machine tool structural designer. This paper presents a novel approach to the design of machine tool column for static and dynamic rigidity requirement. Model evaluation is done effectively through use of General Finite Element Analysis software ANSYS. Studies on machine tool column are used to illustrate finite element based concept evaluation technique. This paper also presents results obtained from the computations of thin walled box type columns that are subjected to torsional and bending loads in case of static analysis and also results from modal analysis. The columns analyzed are square and rectangle based tapered open column, column with cover plate, horizontal partitions and with apertures. For the analysis purpose a total of 70 columns were analyzed for bending, torsional and modal analysis. In this study it is observed that the orientation and aspect ratio of apertures have no significant effect on the static and dynamic rigidity of the machine tool structure. Keywords—Finite Element Modeling, Modal Analysis, Machine tool structure, Static Analysis.

7 citations

References
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Book
01 Jan 1934
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Abstract: Chapter 1: Stresses and Strains Chapter 2: Foundations of Plasticity Chapter 3: Elasto-Plastic Bending and Torsion Chapter 4: Plastic Analysis of Beams and Frames Chapter 5: Further Solutions of Elasto-Plastic Problems Chapter 6: Theory of the Slipline Field Chapter 7: Steady Problems in Plane Strain Chapter 8: Non-Steady Problems in Plane Strain

20,724 citations

Book
01 Jan 1970

172 citations

Book ChapterDOI
01 Jan 1972
TL;DR: In this article, the results obtained from computations of the deformations of thin-walled box-type column structures when subjected to both torsional and bending loads are compared with experimentally derived values and with calculations based on closed form analytical expressions.
Abstract: The paper presents the results obtained from computations of the deformations of thin-walled box-type column structures when subjected to both torsional and bending loads. The computed results, which correspond to various finite-element representations of the columns, are compared with experimentally derived values and with calculations based on closed form analytical expressions.

9 citations

Journal ArticleDOI
TL;DR: In this paper, the problem of unsymmetric bending of cylindrical conical shell junction has been analyzed and an exact solution has also been worked out in order to indicate how such problems can be tackled by non-numerical methods and the results of this solution have been compared with the results obtained by the numerical method.

8 citations