Boundary layer theory for the nonlinear vibration of anisotropic laminated cylindrical shells

Composite Structures - Tập 97 - Trang 338-352 - 2013
Hui‐Shen Shen1,2
1School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, People’s Republic of China
2State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Jones, 1975, Buckling and vibration of cross-ply laminated circular cylindrical shells, AIAA J, 13, 664, 10.2514/3.49782

Khdeir, 1989, A study of bending, vibration and buckling of cross-ply circular cylindrical shells with various shell theories, Int J Eng Sci, 27, 1337, 10.1016/0020-7225(89)90058-X

Lakis, 1998, Non-linear free vibration analysis of laminated orthotropic cylindrical shells, Int J Mech Sci, 40, 27, 10.1016/S0020-7403(97)00029-5

Lam, 2000, Vibration analysis of thick laminated composite cylindrical shells, AIAA J, 38, 1102, 10.2514/2.1077

Matsunaga, 2007, Vibration and buckling of cross-ply laminated composite circular cylindrical shells according to a global higher-order theory, Int J Mech Sci, 49, 1060, 10.1016/j.ijmecsci.2006.11.008

Bert, 1969, Free vibrations of multilayer anisotropic cylindrical shells, J Compos Mater, 3, 480, 10.1177/002199836900300312

Toorani, 2004, Large amplitude vibrations of anisotropic cylindrical shells, Comput Struct, 82, 2015, 10.1016/j.compstruc.2003.07.007

Jansen, 2004, A comparison of analytical–numerical models for nonlinear vibrations of cylindrical shells, Comput Struct, 82, 2647, 10.1016/j.compstruc.2004.06.004

Jansen, 2007, The effect of geometric imperfections on the vibrations of anisotropic cylindrical shells, Thin-Walled Struct, 45, 274, 10.1016/j.tws.2007.02.014

Jansen, 2008, A perturbation method for nonlinear vibrations of imperfect structures: application to cylindrical shell vibrations, Int J Solids Struct, 45, 1124, 10.1016/j.ijsolstr.2007.07.007

Shao, 2007, Free vibration analysis of laminated cylindrical shells by using Fourier series expansion method, J Thermoplast Compos Mater, 20, 551, 10.1177/0892705707084542

Yas, 2008, Stacking sequence optimization of a composite cylindrical shell for vibrations by hybrid continuous optimization, Proc IME Part C J Mech Eng Sci, 222, 2385, 10.1243/09544062JMES900

Khot NS, Venkayya VB. Effect of fiber orientation on initial postbuckling behavior and imperfection sensitivity of composite cylindrical shells. AFFL-TP-70-125, Wright- Patterson AFB, OH; June 1970.

Lam, 2000, Free vibration of symmetric angle-ply thick laminated composite cylindrical shells, Composites Part B, 31, 345, 10.1016/S1359-8368(99)00075-X

Timarci, 2000, Vibrations of angle-ply laminated circular cylindrical shells subjected to different sets of edge boundary conditions, J Eng Math, 37, 211, 10.1023/A:1004794513444

Alibeigloo, 2009, Static and vibration analysis of axi-symmetric angle-ply laminated cylindrical shell using state space differential quadrature method, Int J Press Ves Pip, 86, 738, 10.1016/j.ijpvp.2009.07.002

Viswanathan, 2011, Free vibration of symmetric angle-ply laminated cylindrical shells of variable thickness, Acta Mech, 221, 309, 10.1007/s00707-011-0505-z

Shen, 2008, Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part I: prediction under axial compression, Compos Struct, 82, 346, 10.1016/j.compstruct.2007.01.024

Shen, 2008, Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part II: prediction under external pressure, Compos Struct, 82, 362, 10.1016/j.compstruct.2007.01.018

Shen, 2008, Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part III: prediction under torsion, Compos Struct, 82, 371, 10.1016/j.compstruct.2007.01.013

Shen, 2008, Thermal postbuckling behavior of anisotropic laminated cylindrical shells with temperature-dependent properties, AIAA J, 46, 185, 10.2514/1.31192

Shen, 2001, Free and forced vibration of Reissner-Mindlin plates with free edges resting on elastic foundations, J Sound Vib, 244, 299, 10.1006/jsvi.2000.3501

Shen, 2012, Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium, Compos Struct, 94, 1144, 10.1016/j.compstruct.2011.11.012

Reddy, 1985, A higher-order shear deformation theory of laminated elastic shells, Int J Eng Sci, 23, 319, 10.1016/0020-7225(85)90051-5

Shen, 2012, Postbuckling of functionally graded fiber reinforced composite laminated cylindrical shells, Part I: theory and solutions, Compos Struct, 94, 1305, 10.1016/j.compstruct.2011.11.034

Shen, 2012, Postbuckling of functionally graded fiber reinforced composite laminated cylindrical shells, Part II: numerical results, Compos Struct, 94, 1322, 10.1016/j.compstruct.2011.11.036

Shen, 1997, Post-buckling analysis of imperfect stiffened laminated cylindrical shells under combined external pressure and axial compression, Comput Struct, 63, 335, 10.1016/S0045-7949(96)00341-0

Shen, 2002, Thermomechanical postbuckling of shear deformable laminated cylindrical shells with local geometric imperfections, Int J Solids Struct, 39, 4525, 10.1016/S0020-7683(02)00351-7

Shen, 2002, Postbuckling of laminated cylindrical shells with piezoelectric actuators under combined external pressure and heating, Int J Solids Struct, 39, 4271, 10.1016/S0020-7683(02)00262-7

Shen, 2012, Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments, Comput Methods Appl Mech Eng, 213–216, 196, 10.1016/j.cma.2011.11.025

Shen, 1997, Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis, Appl Math Mech, 18, 1137, 10.1007/BF00713716

Bowles, 1989, Prediction of coefficients of thermal expansion for unidirectional composite, J Compos Mater, 23, 370, 10.1177/002199838902300405

Reed, 1972, Aluminum 2. A review of deformation properties of high purity aluminum and dilute aluminum alloys, Cryogenics, 12, 259, 10.1016/0011-2275(72)90041-0

Shen, 1998, Thermal expansion of metal–ceramic composites: a three-dimensional analysis, Mater Sci Eng A, 252, 269, 10.1016/S0921-5093(98)00698-4

Egle DM, Bray FM. An experimental study of the free vibration of cylindrical shells with discrete longitudinal stiffening. School of Aerospace and Mechanical Engineering, University of Oklahoma, Final Report, National Science Foundation Grant GK-1490; November 1968.

Nowinski, 1963, Nonlinear transverse vibrations of orthotropic cylindrical shells, AIAA J, 1, 617, 10.2514/3.1604

Sofiyev, 2003, Non-linear free vibration analysis of laminated non-homogeneous orthotropic cylindrical shells, Proc IME Part K: J Multi-body Dyn, 217, 293