A transfer-matrix-perturbation approach to the dynamics of chains of nonlinear sliding beams

Journal of Vibration and Acoustics

Volumn 128, Issue 2, 2006, Pages 190-196

  Luongo, Angelo ^a   Romeo, Francesco ^b  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; FREQUENCY RESPONSE; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

NONLINEAR SHEAR INDEFORMABLE BEAMS; NONLINEAR SLIDING BEAMS; TRANSFER-MATRIX-PERTURBATION APPROACH;

BEAMS AND GIRDERS;

EID: 33645804214     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2159034     Document Type: Article

References (10)

1. Sen Gupta. G.. 1970. "Natural Flexural Waves and the Normal Modes of Periodically-Supported Beams and Plates," J. Sound vib., 13, pp. 89-101.
2. Faulkner, M. G., and Hong, D. P., 1985, "Free Vibrations of Mono-Coupled Periodic System," J. Sound Mb., 99, pp. 29-42.
3. Romeo, F., and Luongo, A., 2002, "Invariant Representation of Propagation Properties for Bi-coupled Periodic Structures," J. Sound Vib., 257, pp. 869-886.
4. Romeo, F., and Luongo, A., 2003, "Vibration Reduction in Piecewise Bi-coupled Periodic Structures," J. Sound Vib., 268, pp. 601-615.
5. Luongo, A., and Romeo, F., 2005, "Real Wave Vectors for Dynamic Analysis of Periodic Structures," J. Sound Vib. 279, pp. 309-325.
6. Vakakis, A. F., and King, M. E., 1995, "Nonlinear Wave Transmission in a Mono-Coupled Elastic Periodic System," J. Acoust Soc. Am., 98, pp. 1534-1546.
7. Davies, M. A., and Moon, F. C., 1996, "Transition From Soliton to Chaotic Motion Following Sudden Excitation of a Nonlinear Structure," ASME J. Appl. Mech., 63, pp. 445-449.
8. Luongo, A., 1995, "A Transfer Matrix Perturbation Approach to the Buckling Analysis of Nonlinear Periodic Structures," 10th ASCE Conference, Boulder, pp. 505-508.
9. Yong, Y., and Lin, Y. K., 1989, "Propagation of Decaying Waves in Periodic and Piecewise Periodic Structures of Finite Length," J. Sound Vib., 129, pp. 99-118.
10. Luongo, A., Rega, G., and Vestroni, F., 1986, "On Nonlinear Dynamics of Planar Shear Indeformable Beams," ASME J. Appl. Mech., 53, pp. 619-624.