Second-order approximation of angle-ply composite laminated thin plate under combined excitations
Tài liệu tham khảo
Chang, 1993, Non-linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance, Nonlinear Dyn, 4, 433, 10.1007/BF00053690
Tian, 1994, Non-linear dynamics of a shallow arch under periodic excitation–II. 1:1 internal resonance, Int J Non-Linear Mech, 29, 367, 10.1016/0020-7462(94)90008-6
Zhang, 2001, Global and chaotic dynamics for a parametrically excited thin plate, J Sound Vibrat, 239, 1013, 10.1006/jsvi.2000.3182
Zhang, 2001, Global dynamics of a parametrically and externally excited thin plate, Nonlinear Dyn, 24, 245, 10.1023/A:1008381718839
Anlas, 2002, Nonlinear vibrations of a simply supported rectangular metallic plate subjected to transverse harmonic excitation in the presence of a one-to-one internal resonance, Nonlinear Dyn, 30, 1, 10.1023/A:1020362725706
Yang, 2001, Dynamic response of initially stressed functionally graded rectangular thin plates, Compos Struct, 54, 497, 10.1016/S0263-8223(01)00122-2
Yang, 2002, Vibration characteristics and transient response of shear deformable functionally graded plates in thermal environment, J Sound Vibrat, 255, 579, 10.1006/jsvi.2001.4161
Yang, 2003, Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels, J Sound Vibrat, 261, 871, 10.1016/S0022-460X(02)01015-5
Ye, 2005, Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate, Chaos Solitons Fract, 26, 195, 10.1016/j.chaos.2004.12.028
Ye, 2005, Nonlinear oscillations and chaotic dynamics of an antisymmetric cross-ply composite laminated rectangular thin plate under parametric excitation, J Sound Vibrat, 287, 723, 10.1016/j.jsv.2004.11.028
Zhang, 2006, Further studies on nonlinear oscillations and chaos of a rectangular symmetric cross-by laminated plate under parametric excitation, Int J Bifurcat Chaos, 16, 325, 10.1142/S0218127406014836
Abe, 2007, Nonlinear dynamic behaviors of clamped laminated shallow shells with one-to-one internal resonance, J Sound Vibrat, 304, 957, 10.1016/j.jsv.2007.03.009
Hao, 2008, bifurcations and chaos of functionally graded materials plate, J Sound Vibrat, 312, 862, 10.1016/j.jsv.2007.11.033
Guo, 2010, Nonlinear dynamics of angle-ply composite laminated thin plate with third-order shear deformation, Sci Chin Technol Sci, 53, 612, 10.1007/s11431-010-0074-8
Tian, 1994, Non-linear dynamics of a shallow arch under periodic excitation–I. 1:2 internal resonance, Int J Non-Linear Mech, 29, 349, 10.1016/0020-7462(94)90007-8
Zhang, 2009, Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance, Sci Chin E Technol Sci, 52, 731, 10.1007/s11431-009-0051-2
Zhang, 2009, Higher-dimensional chaotic dynamics of a composite laminated piezoelectric rectangular plate, Sci Chin G Phys Mech Astron, 52, 1989, 10.1007/s11433-009-0225-8
Zhang, 2010, Chaotic vibrations of an orthotropic FGM rectangular plate based on third-order shear deformation theory, Nonlinear Dyn, 59, 619, 10.1007/s11071-009-9568-y
Zhang, 2010, Resonant chaotic motions of a buckled rectangular thin plate with parametrically and externally excitations, Nonlinear Dyn, 62, 673, 10.1007/s11071-010-9753-z
Zhang, 2005, Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam, Nonlinear Dyn, 40, 251, 10.1007/s11071-005-6435-3
Eissa, 2006, A comparison between passive and active control of non-linear simple pendulum Part-I, Math Comput Appl, 11, 137
Eissa, 2006, A comparison between passive and active control of non-linear simple pendulum Part-II, Math Comput Appl, 11, 151
Eissa, 2008, Vibration reduction of a three DOF non-linear spring pendulum, Commun Nonlinear Sci Numer Simulat, 13, 465, 10.1016/j.cnsns.2006.04.001
Sayed M. Improving the mathematical solutions of nonlinear differential equations using different control methods, Ph. D. Thesis, Menoufia University, Egypt, November (2006).
Sayed, 2011, Stability and response of a nonlinear coupled pitch-roll ship model under parametric and harmonic excitations, Nonlinear Dyn, 64, 207, 10.1007/s11071-010-9841-0
Sayed, 2011, Stability study and control of helicopter blade flapping vibrations, Appl Math Modell, 35, 2820, 10.1016/j.apm.2010.12.002
Sayed, 2012, 1:2 And 1:3 internal resonance active absorber for non-linear vibrating system, Appl Math Modell, 36, 310, 10.1016/j.apm.2011.05.057
Amer, 2011, Stability at principal resonance of multi-parametrically and externally excited mechanical system, Adv Theoretical Appl Mech, 4, 1
Sayed, 2011, Vibration reduction and stability of non-linear system subjected to external and parametric excitation forces under a non-linear absorber, Int J Contemporary Math Sci, 6, 1051
Reddy, 1984, A refined nonlinear theory of plates with transverse shear deformation, Int J Solids Struct, 20, 881, 10.1016/0020-7683(84)90056-8
Nayfeh, 1981
Nayfeh, 2000
Nayfeh, 1973
Gerald, 1980
Yang, 2005