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Three-dimensional solutions of laminated cylinders. (English) Zbl 0278.73061


MSC:

74K25 Shells
Full Text: DOI

References:

[1] Chree, C., The equations of an isotropic elastic solid in polar and cylindrical coordinates, their solutions and applications, Trans. Cambridge Phil. Soc., 14, 250 (1889)
[2] Pochhammer, L., Über die Fortpflanzungsgeschwindigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiszylinder, J.f. reine u. angew. Math., 81, 324 (1876) · JFM 08.0641.02
[3] Armenàkas, A. E.; Gazis, D. C.; Herrmann, G., Vibrations of circular cylindrical shells (1969), Pergamon Press · Zbl 0197.51602
[4] Mirsky, I., Wave propagation in transversely isotropic circular cylinders, Part I: Theory, Journal of the Acoustical Society of America, 37, 1016-1021 (1965)
[5] Mirsky, I., Wave propagation in transversely isotropic circular cylinders, Part II: Numerical results, J. of the Acoustical Society of America, 37, 1022-1026 (1965)
[6] Chou, F. H.; Achenbach, J. D., Three-dimensional vibrations of orthotropic cylinders, J. of the Engineering Mechanics Division ASCE, 98, 813-822 (1972)
[7] Mirsky, I., Vibrations of orthotropic, thick cylindrical shells, Journal of the Acoustical Society of America, 36, 41-51 (1964)
[8] Dong, S. B., Studies relating to the structural dynamic behavior of laminated plates and shells, UCLA-ENG-7236 (1972)
[9] Noor, A. K., Mixed finite-difference scheme for a class of linear and nonlinear structural mechanics problems, Developments in Mechanics 7, (Proceedings of the 13th Midwestern Mechanics Conference. Proceedings of the 13th Midwestern Mechanics Conference, Pittsburgh Pennsylvania (1973)), 657-674
[10] Noor, A. K.; Stepehns, W. B., Comparison of finite-difference schemes for analysis of shells of revolution, NASA TN D-7337 (1973)
[11] Anderson, M. S.; Fulton, R. E.; Heard, W. L.; Walz, J. E., Stress, buckling, and free vibration analysis of shells of revolution, Intern. J. of Computers and Structures, 1, 157-192 (1971)
[12] Martin, R. S.; Wilkinson, J. H., Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices, Numerische Mathematik, 9, 279-301 (1967) · Zbl 0168.13304
[13] Dong, S. B.; Wolf, J. A., On a direct-iterative eigensolution technique, Intern. J. of Numerical Methods in Engineering, 4, 155-161 (1972) · Zbl 0248.65024
[14] Noor, A. K., A study of thermoelastic laminated anisotropic arbitrary cylindrical shells, (UNICIV Report No. R-59 (1970), University of New South Wales: University of New South Wales Australia)
[15] Forsberg, K., A review of analytical methods used to determine the modal characteristics of cylindrical shells, NASA CR-613 (1966)
[16] Noor, A. K., Free vibrations of multilayered composite plates, AIAA Journal, 11, 1038-1039 (1973)
[17] Lekhnitski, S. G., Theory of elasticity of an anisotropic elastic body (1963), Holden-Day Inc: Holden-Day Inc San Francisco, (translated from Russian) · Zbl 0119.19004
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