Large-scale deterministic simulations are performed in order to observe the band gap formation in composite models having quasirandom fiber arrangements. Unidirectional fiber-reinforced composite panels are modeled in two-dimensional space with quasirandom fiber arrangements that can be qualified as “essentially regular with slight randomness.” Different quasirandom fiber arrangements are computationally generated using the same control parameters. Statistical parameters are used to quantitatively describe the fiber arrangements. Subsequently, a series of arrangements is generated from each base line arrangement by scaling up the coordinates of fiber centers, while the fiber diameter remains unchanged in order to study the effects of fiber spacing. Simulation results are compared with the corresponding case of ideally regular fiber arrangement. The most interesting observation is that the slight randomness in the fiber arrangements enhances the band gap phenomenon by introducing a few secondary band gaps adjacent to the primary band gap.
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October 2007
Technical Papers
Effects of Randomness on Band Gap Formation in Models of Fiber-Reinforced Composite Panels Having Quasirandom Fiber Arrangements
Liang-Wu Cai,
Liang-Wu Cai
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, Kansas 66506
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Shashidhar Patil
Shashidhar Patil
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, Kansas 66506
Search for other works by this author on:
Liang-Wu Cai
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, Kansas 66506
Shashidhar Patil
Department of Mechanical and Nuclear Engineering,
Kansas State University
, Manhattan, Kansas 66506J. Vib. Acoust. Oct 2007, 129(5): 663-671 (9 pages)
Published Online: June 7, 2007
Article history
Received:
December 1, 2006
Revised:
June 7, 2007
Citation
Cai, L., and Patil, S. (June 7, 2007). "Effects of Randomness on Band Gap Formation in Models of Fiber-Reinforced Composite Panels Having Quasirandom Fiber Arrangements." ASME. J. Vib. Acoust. October 2007; 129(5): 663–671. https://doi.org/10.1115/1.2776344
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