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Response Localization in Disordered Periodic Structures

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Dynamical Problems of Rigid-Elastic Systems and Structures
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Summary

Due to material and manufacturing variabilities, a structure designed to be spatially periodic cannot be exactly periodic. The departure from exact periodicity is known as disorder. Under excitation, the response of a disordered periodic structure is much more confined as compared with its ideally periodic counterpart. Assuming that disorder can be described in terms of probability or statistics, the average exponential decay rate of the response amplitude with respect to the distance is investigated using a perturbation procedure.

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References

  1. Miles, J. W., “Vibration of Beams on Many Supports,” Journal, Engineering Mechanics Division, ASCE, Vol. 82, EM1, Jan. 1956, pp.1–9.

    Google Scholar 

  2. Lin, Y. K. and McDaniel, T. J., “Dynamics of Beam-Type Periodic Structures,” Journal of Engineering for Industry, Vol. 91, November, 1969, pp.1133–1141.

    Article  Google Scholar 

  3. Mead, D. J., “Wave Propagation and Natural Modes in Periodic Systems: I. Mono-Coupled Systems, II. Multi-Coupled Systems, With and Without Damping,” Journal of Sound and Vibration, Vol. 40, 1975, pp.1–39.

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  4. Yong, Y., and Lin, Y. K., “Propagation of Decaying Waves in Periodic and Piecewise Periodic Structures of Finite Length,” Journal of Sound and Vibration, Vol. 129, 1989, pp. 99–118.

    Article  ADS  Google Scholar 

  5. Anderson, P. W., “Absence of Diffusion in Certain Random Lattices,” Physical Review, Vol. 109, 1958, pp. 1492–1505.

    Article  ADS  Google Scholar 

  6. Kissel, G. J., “Localization in Disordered Periodic Structures,” Ph.D. Dissertation, Massachusetts Institute of Technology, 1988.

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  7. Cai, G. Q. and Lin, Y. K., “Localization of Wave Propagation in Disordered Periodic Structures,” to appear in AIAA Journal.

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© 1991 Springer-Verlag, Berlin Heidelberg

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Lin, Y.K., Cai, G.Q. (1991). Response Localization in Disordered Periodic Structures. In: Banichuk, N.V., Klimov, D.M., Schiehlen, W. (eds) Dynamical Problems of Rigid-Elastic Systems and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84458-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-84458-4_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84460-7

  • Online ISBN: 978-3-642-84458-4

  • eBook Packages: Springer Book Archive

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