Localization investigation of stationary random wave transmission along damped ordered substructural chains

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 211, Issue 3, 1997, Pages 217-228

  Williams, F W ^a   Bennett, P N ^a   Lin, J ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Localization; Random waves; Repetitive structures; Symplectic

Indexed keywords

DAMPING; EIGENVALUES AND EIGENFUNCTIONS; HYSTERESIS; STIFFNESS; STIFFNESS MATRIX; WAVE TRANSMISSION;

STATIONARY RANDOM WAVE TRANSMISSION; STRUCTURAL CHAIN LOCALIZATION;

MECHANISMS;

EID: 0030660979     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954406971521791     Document Type: Article

References (21)

1. Mead, D. J. A general theory of harmonic wave propagation in linear periodic systems with multiple coupling. J. Sound Vibr., 1973, 27, 235-260.
2. Mead, D. J. Wave propagation and natural modes in periodic systems: I. Mono-coupled systems; II. Multi-coupled systems, with and without damping. J. Sound Vibr., 1975, 40, 1-18 and 19-39.
3. Mead, D. J. A new method of analysing wave propagation in periodic structures; applications to periodic Timoshenko beams and stiffened plates. J. Sound Vibr., 1986, 104, 9-27.
4. Mead, D. J. and Yaman, Y. The response of infinite periodic beams to point harmonic forces: a flexural wave analysis. J. Sound Vibr., 1991, 144, 507-530.
5. Miller, D. W. and Von Flotow, A. H. A travelling wave approach to power flow in structural networks. J. Sound Vibr., 1989, 128, 145-162.
6. Yong, Y. and Lin, Y. K. Wave propagation for truss type structural networks. Proceedings of AIAA/ASME/ASCE/AHS/ASC Thirty-first Conference on Structures, Structural Dynamics and Materials, Long Beach, California, 1990, paper AIAA-90-1082-CP, pp. 2026-2035.
7. Williams, F. W., Zhong, W. X. and Bennett, P. N. Computation of the eigenvalues of wave propagation in periodic substructural systems. Trans. ASME, J. Vibr. Acoust., 1993, 115, 422-426.
8. Zhong, W. X., Lin, J. H. and Chunhang, Q. Eigenproblem of substructure chain and the expansion solution. ACTA Mechanica Sinica, 1991, 7, 169-177.
9. Zhong, W. X., Lin, J. H. and Chunhang, Q. Computational structural mechanics and optimal control - the simulation of substructural chain theory to linear quadratic optimal control problems. Int. J. Numer. Meth. Engng, 1992, 33, 197-211.
10. Zhong, W. X. and Williams, F. W. On the localization of the vibration mode of a sub-structural chain-type structure. Proc. Instn Mech. Engrs, Part C, 1991, 205(C4), 281-288.
11. Zhong, W. X. and Williams, F. W. Wave problems for repetitive structures and symplectic mathematics. Proc. Instn Mech. Engrs, Part C, 1992, 206(C6), 371-379.
12. Zhong, W. X. and Williams, F. W. The eigensolutions of wave propagation for repetitive structures. Struct. Engng and Mechanics, 1993, 1, 47-60.
13. Zhou, M., Zhong, W. X. and Williams, F. W. Wave propagation in substructural chain-type structures excited by harmonic forces. Int. J. Mech. Sci., 1993, 35, 953-964.
14. Lin, J. H., Yue, F., Bennett, P. N. and Williams, F. W. Propagation of stationary random waves along substructural chains. J. Sound Vibr., 1995, 180(5), 757-767.
15. Lin, J. H. A fast CQC algorithm of PSD matrices for random seismic responses. Computers and Structs, 1992, 44, 683-687.
16. Lin, J. H., Williams, F. W. and Zhang, W. S. A new approach to multiphase-excitation stochastic seismic response. Microcomputers in Civ. Engng, 1993, 8, 283-290.
17. Myklestad, N. O. The concept of complex damping. J. Appl. Mechanics, 1952, 20, 284-286.
18. Signorelli, J. and Von Flotow, A. H. Wave propagation, power flow, and resonance in a truss beam. J. Sound Vibr., 1988, 126, 127-144.
19. Pease, M. Methods of Matrix Algebra, 1965 (Academic Press, New York).
20. Zhong, W. X. A New Systematic Methology for Theory of Elasticity (in Chinese), 1995 (Dalian University of Technology Press, Dalian).
21. Zhong, W. X. and Williams, F. W. Physical interpretation of the symplectic orthogonality of the eigensolutions of a Hamiltonian or symplectic matrix. Computers and Structs, 1993, 49, 749-750.