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Wave propagation in periodic stiffened shells: Spectral finite element modeling and experiments. (English) Zbl 1048.74593


MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74H45 Vibrations in dynamical problems in solid mechanics
74-05 Experimental work for problems pertaining to mechanics of deformable solids
Full Text: DOI

References:

[1] Al-Najafi, A. M. J. and Warburton, G.B. 1970, ”Free vibration of ring-stiffened cylindrical shells,” Journal of Sound and Vibration 13, 9-25 . · doi:10.1016/S0022-460X(70)80076-1
[2] Baz, A. 2000, ”Spectral finite element modeling of longitudinal wave propagation in rods with active constrained layer damping,” Smart Materials and Structures 9, 372-377 . · doi:10.1088/0964-1726/9/3/319
[3] Doyle, J. F. 1988, ”A spectrally-formulated finite element for longitudinal wave propagation,” International Journal of Analytical and Experimental Modal Analysis 3, 1-5 .
[4] Faulkner, M. G. and Hong, D. P. 1985, ”Free vibration of a mono-coupled periodic system,” Journal of Sound and Vibration 99, 29-42 . · doi:10.1016/0022-460X(85)90443-2
[5] Hodges, C. H., Power, J., and Woodhouse, J. 1985a, ”The low frequency vibration of a ribbed cylinder. Part I: Theory,” Journal of Sound and Vibration 101, 219-235 . · Zbl 0585.73107 · doi:10.1016/S0022-460X(85)81217-7
[6] Hodges, C. H., Power, J., and Woodhouse, J. 1985b, ”The low frequency vibration of a ribbed cylinder. Part II: Observations and interpretation” , Journal of Sound and Vibration 101, 237-256 . · Zbl 0585.73107 · doi:10.1016/S0022-460X(85)81218-9
[7] Mead, D. J. 1970, ”Free wave propagation in periodically supported, infinite beams,” Journal of Sound and Vibration 11, 181-197 . · doi:10.1016/S0022-460X(70)80062-1
[8] Mead, D. J. 1975, ”Wave propagation and natural modes in periodic systems: I. Mono-coupled systems,” Journal of Sound and Vibration 40, 1-18 . · Zbl 0313.73023 · doi:10.1016/S0022-460X(75)80227-6
[9] Mead, D. J. 1976, ”Loss factors and resonant frequencies of periodic damped sandwiched plates,” ASME Journal of Engineering for Industry 98 (B), 75-80 .
[10] Mead, D. J. 1986, ”A new method of analyzing wave propagation in periodic structures; applications to periodic Timoshenko beams and stiffened plates,” Journal of Sound and Vibration 104, 9-27 . · Zbl 0585.73054 · doi:10.1016/S0022-460X(86)80128-6
[11] Mead, D. J. and Bardell, N. S. 1987, ”Free vibration of a thin cylindrical shell with periodic circumferential stiffeners,” Journal of Sound and Vibration 115, 499-521 . · doi:10.1016/0022-460X(87)90293-8
[12] Orris, R. M. and Petyt, M. 1974, ”A finite element study of harmonic wave propagation in periodic structures,” Journal of Sound and Vibration 33, 223-236 . · doi:10.1016/S0022-460X(74)80108-2
[13] Ruzzene, M. and Baz, A. 2000, ”Control of wave propagation in periodic composite rods using shape memory inserts,” ASME Journal of Vibration and Acoustics 122, 151-159 . · doi:10.1115/1.568452
[14] Ruzzene, M. and Baz, A. 2001, ”Active control of wave propagation in periodic fluid-loaded shells,” Smart Materials and Structures 10(5), 893-906 . · doi:10.1088/0964-1726/10/5/306
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