A STUDY OF TRANSVERSE NORMAL STRESS EFFECT ON VIBRATION OF MULTILAYERED PLATES AND SHELLS

KOITER, 1959, A consistent first approximations in the general theory of thin elastic shells, Proceedings of Symposium on the Theory of Thin Elastic Shells, August 1959, North-Holland, Amsterdam, 12 GOLDENVAIZER, 1961 CICALA, 1965 MINDLIN, 1956, An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates, Journal of Sound and Vibration, 12, 187 PAGANO, 1969, Exact solutions for composite laminates in cylindrical bending, Journal of Composite Materials, 3, 398, 10.1177/002199836900300304 SRINIVAS, 1970, Flexural vibration of rectangular plates, Journal of Applied Mechanics, 23, 430 NOOR, 1973, Free vibration of multilayered plates, American Institute of Aeronautics and Astronautics Journal, 11, 1038, 10.2514/3.6868 NOOR, 1989, Stress and free vibration analyses of multilayered composite plates, Composite Structures, 11, 183, 10.1016/0263-8223(89)90058-5 REN, 1987, Exact solutions for laminated cylindrical shells in cylindrical bending, Composite Science and Techonology, 29, 169, 10.1016/0266-3538(87)90069-8 VARADAN, 1991, Bending of laminated orthotropic cylindrical shells — an elasticity approach, Composite Structures, 17, 141, 10.1016/0263-8223(91)90067-9 NOOR, 1974, Three-dimensional solutions of laminated cylinders, Computer Methods in Applied Mechanics and Engineering, 3, 319, 10.1016/0045-7825(74)90017-6 NOOR, 1989, Stress, vibration and buckling of multilayered cylinders, Journal of Structural Engineering, ASCE, 115, 69, 10.1061/(ASCE)0733-9445(1989)115:1(69) NOOR, 1989, A posteriori estimates for shear correction factors in multilayered composite cylinders, Journal of Engineering Mechanics, ASCE, 115, 1225, 10.1061/(ASCE)0733-9399(1989)115:6(1225) YE, 1994, Three-dimensional vibration of laminated cylinders and cylindrical panels with symmetric or antisymmetric cross-ply lay-up, Composite Engineering, 4, 429, 10.1016/S0961-9526(09)80016-6 FETTAHLIOGLU, 1974, Asymptotic solutions for orthotropic non-homogeneous shells of revolution, Journal of Applied Mechanics, 753, 10.1115/1.3423383 WU, 1997, A refined asymptotic theory for dynamic analysis of doubly curved laminated shells, Journal of Sound and Vibration, 35, 1953 BERDICHEVSKY, 1979, Variational-asymptotic method of shell theory construction, PMM, 43, 664 WIDERA, 1980, A refined theories for non-homogeneous anisotropic, cylindrical shells: Part I-derivation, Journal of Engineering Mechanics Division, ASCE, 106, 1053, 10.1061/JMCEA3.0002650 WIDERA, 1988, On the derivation of a refined theory for non-homogeneous anisotropic shells of revolution, Journal of Applied Mechanics, 110, 102 BERDICHEVSKY, 1992, Effect of accuracy loss in classical shell theory, Journal of Applied Mechanics, 59, S217, 10.1115/1.2899492 HODGES, 1993, Application of the variational-asymptotic method to laminated composite plates, American Institute of Aeronautics and Astronautics Journal, 31, 1674, 10.2514/3.11830 SUTYRIN, 1996, On asymptotically correct linear laminated plate theory, International Journal of Solids and Structures, 33, 3649, 10.1016/0020-7683(95)00208-1 SUTYRIN, 1997, Derivation of plate theory accounting asymptotically correct shear deformation, Journal of Applied Mechanics, 64, 905, 10.1115/1.2788998 GRIGOLYUK, 1988, General direction of the development of the theory of shells, Mekhanica Kompozitnykh Materialov, 287 KAPANIA, 1989, Recent advances in analysis of laminated beams and plates, American Institute of Aeronautics and Astronautics Journal, 27, 923, 10.2514/3.10202 KAPANIA, 1989, A review on the analysis of laminated shells, Journal of Pressure Vessel Technology, 111, 88, 10.1115/1.3265662 NOOR, 1989, Assessment of shear deformation theories for multilayered composite plates, Applied Mechanics Review, 41, 1, 10.1115/1.3152418 NOOR, 1990, Assessment of computational models for multilayered composite shells, Applied Mechanics Review, 43, 67, 10.1115/1.3119162 NOOR, 1996, Computational model for sandwich panels and shells, Applied Mechanics Review, 49, 155, 10.1115/1.3101923 SOLDATOS, 1993, A unified formulation of laminated composites, shear deformable, five-degrees-of-freedom cylindrical shell theories, Composite Structures, 25, 165, 10.1016/0263-8223(93)90162-J REDDY, 1997 HSU, 1970, A theory of laminated cylindrical shells consisting of layers of orthotropic laminae, American Institute of Aeronautics and Astronautics Journal, 8, 2141, 10.2514/3.6077 CHEUNG, 1972, Free vibrations of thick, layered cylinders having finite length with various boundary conditions, Journal of Sound and Vibration, 24, 189, 10.1016/0022-460X(72)90948-0 SRINIVAS, 1973, A refined analysis of composite laminates, Journal of Sound and Vibration, 30, 450, 10.1016/S0022-460X(73)80170-1 SUN, 1973, On the theories for the dynamic response of laminated plates, American Institute of Aeronautics and Astronautics Journal, 11, 372, 10.2514/3.50448 BARBERO, 1990, General two-dimensional theory of laminated cylindrical shells, American Institute of Aeronautics and Astronautics Journal, 28, 544, 10.2514/3.10426 CHO, 1991, Free vibrations of laminated rectangular plates analyzed by higher order individual-layer theory, Journal of Sound and Vibration, 145, 429, 10.1016/0022-460X(91)90112-W NOSIER, 1993, Free vibration analysis of laminated plates using a layer-wise theory, American Institute of Aeronautics and Astronautics Journal, 31, 2335, 10.2514/3.11933 GAUDENZI, 1995, A finite element evaluation of single-layer and multi-layer theories for the analysis of laminated plates, Composite Structures, 30, 427, 10.1016/0263-8223(94)00065-4 CARRERA, 1998, Evaluation of layer-wise mixed theories for laminated plates analysis, American Institute of Aeronautics and Astronautics Journal, 36, 830, 10.2514/2.444 CARRERA, 1998, Layer-wise mixed models for accurate vibration analysis of multilayered plates, Journal of Applied Mechanics, 65, 820, 10.1115/1.2791917 CARRERA, 1998, A Reissner's mixed variational theorem applied to vibrational analysis of multilayered shell, Journal of Applied Mechanics, 66, 63 HILDEBRAND, 1940, Notes on the foundations of the theory of small displacement of orthotropic shells LO, 1977, A higher-order theory of plate deformation, Part 2: laminated plates, Journal of Applied Mechanics, 44, 669, 10.1115/1.3424155 AMBARTSUMIAN, 1968, On general theory of anisotropic shells, PMM, 22, 226 WHITNEY, 1969, The effects of transverse shear deformation on the bending of laminated plates, Journal of Composite Materials, 3, 534, 10.1177/002199836900300316 RATH, 1973, Vibration of layered shells, Journal of Sound and Vibration, 28, 737, 10.1016/S0022-460X(73)80146-4 REN, 1986, A new theory for laminated plates, Composite Science and Techonology, 26, 225, 10.1016/0266-3538(86)90087-4 CHO, 1993, Efficient higher order composite plate theory for general lamination configurations, American Institute of Aeronautics and Astronautics Journal, 31, 1299, 10.2514/3.11767 TIMARCI, 1995, Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis a unified shear deformable shell theories, Journal of Sound and Vibration, 187, 609, 10.1006/jsvi.1995.0548 IDLBI, 1997, Comparison of various laminated plate theories, Composite Structures, 37, 173, 10.1016/S0263-8223(97)80010-4 TOLEDANO, 1987, A higher-order laminated plate theory with improved in-plane responses, International Journal of Solids and Structures, 23, 111, 10.1016/0020-7683(87)90034-5 REISSNER, 1984, On a certain mixed variational theory and a proposed applications, International Journal for Numerical Methods in Engineering, 20, 1366, 10.1002/nme.1620200714 CARRERA, 1995, A class of two dimensional theories for multilayered plates analysis, Atti Accademia delle Scienze di Torino, Memorie Scienze Fisiche, 19–20, 49 BHASKAR, 1992, Reissner's new mixed variational principle applied to laminated cylindrical shells, Journal of Pressure Vessel Technology, 114, 115, 10.1115/1.2929001 JING, 1993, Refined shear deformation theory of laminated shells, American Institute of Aeronautics and Astronautics Journal, 31, 765, 10.2514/3.11615 CARRERA, 1991, The effects of shear deformation and curvature on buckling and vibrations of cross-ply laminated composite shells, Journal of Sound and Vibration, 151, 405, 10.1016/0022-460X(91)90895-Q E. CARRERA, Journal of Applied Mechanics, Transverse Normal Stress Effects in Multilayered Plates KRAUS, 1967 LIBRESCU, 1975 MURAKAMI, 1986, Laminated composite plate theory with improved in-plane response, Journal of Applied Mechanics, 53, 661, 10.1115/1.3171828 DENNIS, 1991, Laminated shell in cylindrical bending, two-dimensional approach vs exact, American Institute of Aeronautics and Astronautics Journal, 29, 647, 10.2514/3.10634 DI SCIUVA, 1993, A general quadrilater multilayered plate element with continuous interlaminar stresses, Composite Structures, 47, 91, 10.1016/0045-7949(93)90282-I REDDY, 1985, A higher-order shear deformation theory of laminated elastic shells, International Journal of Engineering Science, 23, 319, 10.1016/0020-7225(85)90051-5 REDDY, 1985, Stability and vibration of isotropic, orthotropic, and laminated plates according to a higher order shear deformation theory, Journal of Sound and Vibration, 98, 157, 10.1016/0022-460X(85)90383-9 DI SCIUVA, 1992, Elasto-dynamic behavior of relatively thick, symmetrically laminated, anisotropic circular cylindrical shells, Journal of Applied Mechanics, 59, 222, 10.1115/1.2899437