Summary
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.
The accuracy of the computed static deformations depends on the specific nature of the finite-element model adopted. The results presented in the paper indicate the degree to which the resulting accuracy increases as the finite-element model becomes more refined. Some considerations regarding computing costs are also explained.
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References
TAYLOR, S. and TOBIAS, S. A., ‘Lumped constants method for the prediction of the vibration characteristics of machine tool structures’, Proc. 5th M.T.D.R. Conf, Pergamon, 1964.
COWLEY, A. and FAWCETT, M. A., ‘Analysis of machine tool structures by computing techniques’, Proc. 8th M.T.D.R. Conf., Pergamon, 1967.
COWLEY, A. and HINDUJA, S., ‘The finite-element method for machine tool structural analysis’, Annals of the C.I.R.P., Vol. 18, 1970.
TURNER, M. J., CLOUGH, R. W., MARTIN, H. C. and TOPP, L. J., ‘tiffness and deflection analysis of complex structures’, J. Aero Space Sci., 23, (1956).
ZIENKIEWICZ, O. C., ‘The finite-element method in structural and continuous mechanics’, McGraw Hill, 1967.
ARGYRIS, J. H., ‘Continua and discontinua’, Proc. Conf. Matrix Methods of Structural Analysis, Wright Patterson Air Force Base, Ohio (1965).
C HEUNG, Y. K., ‘Finite-element methods’, Ph.D. Thesis, University of Wales, Swansea (1964).
CLOUGH, R. W. and TOCHER, J. L., ‘Finite-element stiffness matrices for analysis of plates in bending’, Proc. Conf. Matrix Methods of Structural Analysis, Wright Patterson Air Force Base, Ohio (1965).
ZIENKIEWICZ, O. C. and CHEUNG, Y. K., ‘The finite-element method for analysis of elastic isotropic and orthotropic slabs’, Proc. Inst. Civ. Engrs., 28, (1964).
DREYER, W F., ‘Uber die steifigkeit von werkzeugmaschinenstaendern und vergleichende untersuchungen an modellen’, Dissertation, T. H. Aachen, (1966).
KAMINSKAYA, V. V., LEVINA, Z. M. and RESHETOV, D. N., ‘Bodies and body components of metal cutting’.
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© 1972 Macmillan Publishers Limited
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Hinduja, S., Cowley, A. (1972). The Finite-Element Method Applied to the Deformation Analysis of Thin-Walled Columns. In: Koenigsberger, F., Tobias, S.A. (eds) Proceedings of the Twelfth International Machine Tool Design and Research Conference. Palgrave, London. https://doi.org/10.1007/978-1-349-01397-5_58
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DOI: https://doi.org/10.1007/978-1-349-01397-5_58
Publisher Name: Palgrave, London
Print ISBN: 978-1-349-01399-9
Online ISBN: 978-1-349-01397-5
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