Nonlinear combination resonances in cantilever composite plates

Nonlinear Dynamics

Volumn 11, Issue 2, 1996, Pages 143-169

  Oh, Kyoyul ^a   Nayfeh, Ali H ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Combination resonance; Composite plate; Energy transfer; Modal interactions

Indexed keywords

ACCELEROMETERS; COMPOSITE STRUCTURES; DYNAMIC RESPONSE; DYNAMICS; ENERGY TRANSFER; FINITE ELEMENT METHOD; FREQUENCY RESPONSE; MODAL ANALYSIS; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; PLATES (STRUCTURAL COMPONENTS); TIME DOMAIN ANALYSIS;

CANTILEVER COMPOSITE PLATES; COMBINATION RESONANCES; EXCITATION FREQUENCY; EXPERIMENTAL MODAL ANALYSES; FORCE RESPONSE; LASER VIBROMETER; MODAL INTERACTIONS; MODES SHAPES; POWER SPECTRA;

RESONANCE;

EID: 0030270998     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00044999     Document Type: Article

References (17)

1. Anderson, T. J., 'Nonlinear vibrations of metallic and composite structures', Ph.D. Dissertation, Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1993.
2. Anderson, T. J., Balachandran, B., and Nayfeh, A. H., 'Observations of nonlinear interactions in a flexible cantilever beam', AIAA Paper No. 92-2332, in Proceedings of the 33rd AIAA Structures, Structural Dynamics, and Materials Conference, Dallas, TX, 1992.
3. Bajaj, A. K. and Johnson, J. M., 'Asymptotic techniques and complex dynamics in weakly non-linear forced mechanical systems', International journal of Non-Linear Mechanics 25, 1990, 211-226.
4. Bennett, J. A., 'Nonlinear vibration of simply supported angle-ply laminated plates', AIAA Journal 9, 1971, 1977-2003.
5. Bert, C. W., 'Research on dynamics of composite and sandwich plates', Shock and Vibration Digest 14, 1982, 17-34.
6. Burton, T. D. and Kolowidth, M., 'Nonlinear resonances and chaotic motion in a flexible parametrically excited beam', in Proceedings of the Second Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanisms, Blacksburg, VA, 1988.
7. Chia, C. Y., Nonlinear Analysis of Plates, McGraw-Hill, New York, 1980.
8. Chia, C. Y and Prabhakara, M. K., 'A general mode approach to nonlinear flexural vibrations of laminated rectangular plates', ASME Journal of Applied Mechanics 45, 1978, 623-628.
9. Crespo da Silva, M. R. M., 'On the whirling of a base excited cantilever beam', Journal of the Acoustical Society of America 67, 1980, 707-740.
10. Cusumano, J. P. and Moon, F. C., 'Low dimensional behavior in chaotic nonplanar motions of a forced elastic rod: Experiment and theory', in Nonlinear Dynamics in Engineering Systems, IUTAM Symposium, Germany, 1989.
11. Dugundji, J. and Mukhopadhyay, V., 'Lateral bending-torsion vibrations of a thin beam under parametric excitation', ASME Journal of Applied Mechanics 44, 1973, 693-698.
12. Eslami, H. and Kandil, O. A., 'Nonlinear forced vibration of orthotropic plates using the method of multiple scales', AIAA Journal 27, 1988, 955-960.
13. Gary, C. E., Decha-Umphai, K., and Mei, C., 'Large deflection, large amplitude vibration and random response of symmetrically laminated rectangular plates', in AIAA/ASME/ASCE/AHS 25th Structures, Structural Dynamics and Materials Conference, Palm Springs, CA, 1984.
14. Haddow, A. G. and Hasan, S. M., 'Nonlinear oscillations of a flexible cantilever: Experimental results', in Proceedings of the Second Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanisms, Blacksburg, VA, 1988.
15. Hadian, J. and Nayfeh, A. H., 'Free vibration and buckling of shear-deformable cross-ply laminated plates using the state-space concept,' Computers & Structures 48, 1993, 677-693.
16. Huang, C. L., 'Finite amplitude vibration of an orthotropic plate with an isotropic core' , International Journal of Non-Linear Mechanics 8, 1973, 445-457.
17. Kapania, R. K. and Yang, T. Y., 'Buckling, postbuckling, and nonlinear vibrations of imperfect plates' ,A/AA Journal 25, 1987, 1338-1346.