Abstract
It has been noted in the present paper that the finite element method using linear elements for solving axisymmetrical shells cannot be applied to the analysis of axisymmetrical shells with abrupt curvature change, owing to the fact that the influence of the curvature upon the angular displacements has been neglected. The present paper provides a finite element method using linear elements in which the influence of curvature is considered and the angular displacements are treated as continuous parameters. This method has been applied to the calculation of corrugated shells of the type C, and compared with the experimental results obtained by Turner-Ford as well as with the analytical solution given by Prof. Chien Wei-zang. The comparisons have been proved that this theory is correct.
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Chien Wei-zang, Calculations for semi-circular arc type corrugated tube-application of the theory of slender ring shells.Journal of Tsing Hua University 19, 1, (1979), 81–99.
Chien Wei-zang & Zheng Si-liang, The calculation of semi-circular corrugated tube—an application of the general solution of ring shell.Applied Mathematics and Mechanics, 2, 1 (1981).
Crafton, Analysis of axisymmetrical shells by direct stiffness method.A. I. A. A. J. 1, 10, (1963).
Stricklin, J. A., Novaratna, D. R. & Pian, T.H. H., Improvements on the analysis of shells of revolution by the matrix displacement method,A.I.A.A. J., 1, 11, (1966)
Jones, R. E. & Strome D. R., Direct stiffness method analysis of shells of revolution utilizing curved elements,A.I.A.A. J., 14, 9, (1966).
Cook, R. D.,Concepts and Applications of Finite Element Analysis, (1974).
Zienkiewicz, O. C.,The Finite Element Method in Engineering Science, (1971).
Witmer, E. A. & Kotanchik, J. J., Progress report on discrete-element elastic and elastic-plastic analysis of shells of revolution subjected to axisymmetric and asymmetric loading,Proceedings of the Second Conference on Matrix Methods in Structural Mechanics.
Turner, C. E. & Ford, H., Stress and deflection studies of pipeline expansions bellow,Proceedings of the Institute of Mechanical Engineers, 171, (1957).
Xie Da-ji, et al, The measurement of the stress distribution and deformation of C pattern corrugated shell,Tsing Hua University Monograph of Science (1980).
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Communicated by Chien Wei-zang.
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Zhi-cheng, H., Cheng-song, F. & Si-liang, Z. The solution for axisymmetrical shells with abrupt curvature change (corrugated shells) by the finite element method. Appl Math Mech 2, 117–136 (1981). https://doi.org/10.1007/BF02432055
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DOI: https://doi.org/10.1007/BF02432055