×

Free and forced vibration of antisymmetric angle-ply laminated plate strips in cylindrical bending. (English) Zbl 1045.74026

Summary: The dynamic behavior of antisymmetric angle-ply laminated plate strips in cylindrical bending is examined using the classical theory and the first-order shear deformation theory. Free vibration of the plate strip is explored, and natural frequencies are determined for general boundary conditions. A generalized modal approach is presented to solve the dynamic response of antisymmetric angle-ply plate strips with arbitrary boundary conditions and for arbitrary loading. The exact analytical solutions are illustrated numerically in a number of figures revealing the influence of transverse shearing deformation, of the number of layers, of ply angles, and of boundary conditions on the fundamental frequencies and on the dynamic response.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K20 Plates
74E30 Composite and mixture properties
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Abdelnaser, A.S., Journal of Sound and Vibration 166 pp 161– (1993) · Zbl 0919.73068 · doi:10.1006/jsvi.1993.1289
[2] Bert, C.W., International Journal of Solids and Structures 14 pp 465– (1978) · Zbl 0377.73067 · doi:10.1016/0020-7683(78)90011-2
[3] Bhimaraddi, A., Thin-Walled Structures 5 pp 125– (1987) · doi:10.1016/0263-8231(87)90004-8
[4] Chou, T.S., Journal of Composite Materials 5 pp 306– (1971) · doi:10.1177/002199837100500302
[5] Dobyns, A.L., American Institute of Aeronautics and Astronautics Journal 19 pp 642– (1981) · Zbl 0465.73080 · doi:10.2514/3.50984
[6] Khdeir, A.A., Journal of Sound and Vibration 122 pp 377– (1988) · doi:10.1016/S0022-460X(88)80361-4
[7] Khdeir, A.A., Composite Structures 13 pp 159– (1989) · Zbl 0697.73039 · doi:10.1016/0263-8223(89)90001-9
[8] Khdeir, A.A., American Institute of Aeronautics and Astronautics Journal 32 pp 2484– (1994) · doi:10.2514/3.12322
[9] Khdeir, A.A., Journal of Sound and Vibration 188 pp 257– (1995) · Zbl 0855.73048 · doi:10.1006/jsvi.1995.0590
[10] Khdeir, A.A., Acta Mechanica 112 pp 117– (1995) · Zbl 0855.73048 · doi:10.1007/BF01177483
[11] Khdeir, A.A., Journal of the Acoustical Society of America 97 pp 1664– (1995) · doi:10.1121/1.412043
[12] Khdeir, A.A., International Journal of Engineering Science 34 pp 9– (1996) · Zbl 0900.73380 · doi:10.1016/0020-7225(95)00080-1
[13] Khdeir, A.A., Computers & Structures 59 pp 813– (1996) · Zbl 0921.73164 · doi:10.1016/0045-7949(95)00330-4
[14] Khdeir, A.A., Journal of Sound and Vibration 126 pp 437– (1988) · doi:10.1016/0022-460X(88)90222-2
[15] Liew, K.M., Journal of Sound and Vibration 198 pp 343– (1996) · doi:10.1006/jsvi.1996.0574
[16] Liew, K.M., International Journal of Solids and Structures 33 pp 2647– (1996) · Zbl 0900.73963 · doi:10.1016/0020-7683(95)00174-3
[17] Liew, K.M., American Institute of Aeronautics and Astronautics Journal 35 pp 1251– (1997) · Zbl 0899.73234 · doi:10.2514/2.234
[18] Liew, K.M., Journal of Sound and Vibration 183 pp 615– (1995) · Zbl 0973.74568 · doi:10.1006/jsvi.1995.0276
[19] Nayfeh, A.H., Introduction to Perturbation Techniques (1981) · Zbl 0449.34001
[20] Reddy, J.N., Mechanics of Laminated Composite Plates, Theory and Analysis (1997) · Zbl 0899.73002
[21] Singh, M.P., American Institute of Aeronautics and Astronautics Journal 30 pp 1081– (1992) · Zbl 0775.73171 · doi:10.2514/3.11030
[22] Singh, M.P., Structural Safety 6 pp 115– (1989) · doi:10.1016/0167-4730(89)90014-3
[23] Stein, M., American Institute of Aeronautics and Astronautics Journal 25 pp 123– (1987) · Zbl 0613.73063 · doi:10.2514/3.9590
[24] Sun, C.T., Journal of the Acoustical Society of America 55 pp 1003– (1974) · Zbl 0278.73038 · doi:10.1121/1.1914639
[25] Sun, C.T., American Institute of Aeronautics and Astronautics Journal 14 pp 268– (1976) · doi:10.2514/3.7089
[26] Whitney, J.M., Journal of Applied Mechanics 37 pp 1031– (1970) · Zbl 0218.73078 · doi:10.1115/1.3408654
[27] Whitney, J.M., Journal of the Acoustical Society of America 61 pp 101– (1977) · doi:10.1121/1.381270
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.