Wave propagation in three-coupled periodic structures

Journal of Sound and Vibration

Volumn 301, Issue 3-5, 2007, Pages 635-648

  Romeo, Francesco ^a   Paolone, Achille ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; MATHEMATICAL MODELS; PARAMETER ESTIMATION; TIME VARYING SYSTEMS; TRUSSES;

BOUNDING FREQUENCIES; NONLINEAR MAPPING; PERIODIC STRUCTURES;

WAVE PROPAGATION;

EID: 33846461689     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.10.017     Document Type: Article

References (23)

1. Mead D.J. Wave propagation and natural modes in periodic systems: II bi-coupled systems, with and without damping. Journal of Sound and Vibration 40 (1975) 19-39
2. Y.K. Lin, T.J. McDaniel, Dynamics of beam-type periodic structures, Journal of Engineering for Industry-Transaction of ASME (1969) 1133-1141.
3. Sen Gupta G. Natural flexural waves and the normal modes of periodically-supported beams and plate. Journal of Sound and Vibration 13 (1970) 89-101
4. Faulkner M.G., and Hong D.P. Free vibrations of mono-coupled periodic system. Journal of Sound and Vibration 99 (1985) 29-42
5. Signorelli J., and von Flotow A.H. Wave propagation, power flow, and resonance in a truss beam. Journal of Sound and Vibration 126 (1988) 127-144
6. von Flotow A.H. Disturbance propagation in structural networks. Journal of Sound and Vibration 106 (1986) 433-450
7. Yong Y., and Lin Y.K. Propagation of decaying waves in periodic and piecewise periodic structures of finite length. Journal of Sound and Vibration 129 (1989) 99-118
8. Yong Y., and Lin Y.K. Dynamic response of truss-type structural networks: a wave propagation approach. Journal of Sound and Vibration 156 (1992) 27-45
9. W.J. Chen, C. Pierre, Exact linear dynamics of periodic and disordered truss beams: localization of normal modes and harmonic waves, Proceedings of 32nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference, 1991, Baltimore, MD.
10. Pierre C., Castanier M.P., and Chen W.J. Wave localization in multi-coupled periodic structures: application to truss beams. Applied Mechanics Review 49 (1996) 65-86
11. Cai G.Q., and Lin Y.K. Wave propagation and scattering in structural networks. Journal of Engineering Mechanics 117 (1991) 1555-1574
12. Langley R.S., Bardell N.S., and Loasby P.M. The optimal design of near-periodic structures to minimize vibration transmission and stress levels. Journal of Sound and Vibration 207 (1997) 627-646
13. Romeo F., and Luongo A. Vibration reduction in piecewise bi-coupled periodic structures. Journal of Sound and Vibration 268 (2003) 601-615
14. Zhong W.X., and Williams F.W. Wave problems for repetitive structures and symplectic mathematics. Proceedings of the Institute of Mechanical Engineers Part C 206 (1992) 371-379
15. Langley R.S. A transfer matrix analysis of the energetics of structural wave motion and harmonic vibration. Proceedings Royal Society of London A 452 (1996) 1631-1648
16. Romeo F., and Luongo A. Invariant representation of propagation properties for bi-coupled periodic structures. Journal of Sound and Vibration 257 (2002) 869-886
17. F. Romeo, A. Paolone, Propagation properties of three-coupled periodic mechanical systems, Proceedings of 20th ASME Biennial Conference on Mechanical Vibration and Noise, Paper No. DETC'05/VIB-85617, September 2005, Long Beach, California.
18. Sorokin S.V., and Ershova O.A. Plane wave propagation and frequency band gaps in periodic plates and cylindrical shells with and without heavy fluid loading. Journal of Sound and Vibration 278 (2004) 501-526
19. Di Carlo A., Rizzi N., and Tatone A. Continuum modelling of a beam-like latticed truss: identification of the constitutive functions for the contact and inertial actions. Meccanica 25 (1990) 168-174
20. Noor A.K., and Anderson M.S. Continuum model for beam- and plate-like lattice structures. American Institute of Aeronautics and Astronautics Journal 16 (1978) 1219-1228
21. Noor A.K. Continuum modeling for repetitive lattice structures. Applied Mechanics Review 41 (1988) 285-296
22. Arnold V.I. Mathematical Methods of Classical Mechanics (1978), Springer, New York
23. Pestel E.C., and Leckie F.A. Matrix Methods in Elastomechanics (1963), McGraw-Hill, New York