0
TECHNICAL PAPERS

Effects of Randomness on Band Gap Formation in Models of Fiber-Reinforced Composite Panels Having Quasirandom Fiber Arrangements

[+] Author and Article Information
Liang-Wu Cai

Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, Kansas 66506

Shashidhar Patil1

Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, Kansas 66506

1

Present address: GE India Technology Centre Pvt. Ltd., Bangalore, India.

J. Vib. Acoust 129(5), 663-671 (Jun 07, 2007) (9 pages) doi:10.1115/1.2776344 History: Received December 01, 2006; Revised June 07, 2007

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2007 by American Society of Mechanical Engineers
Topics: Fibers , Energy gap
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Fiber location within a grid cell. The dashed square represents the area where the center of the fiber can be randomly located in a quasirandom fiber arrangement.

Grahic Jump Location
Figure 2

Quasirandom fiber arranged as model plate and subjected to planar incident wave

Grahic Jump Location
Figure 3

Geometric measures for fiber arrangement

Grahic Jump Location
Figure 4

Examples of fiber arrangements where simple “line of sight” definition for neighbor fails

Grahic Jump Location
Figure 5

Example of replacing the real fibers (solid circles) by imagined fibers (dashed circles) of a larger diameter

Grahic Jump Location
Figure 6

View angle and visible angle of a candidate neighbor

Grahic Jump Location
Figure 13

Spectrum map for wave transmission in the forward direction for the ideal regular fiber arrangement

Grahic Jump Location
Figure 14

Spectrum maps for wave transmission in the forward direction for quasirandom fiber arrangements, based on, from top to bottom, the first, second, and third base line configurations

Grahic Jump Location
Figure 7

Examples of data samples used for identifying neighbors for the fiber located near the center of each image

Grahic Jump Location
Figure 8

Distribution of the interfiber spacings for the three base line fiber arrangements

Grahic Jump Location
Figure 9

Distribution of the opening angle between two immediate adjacent neighbors for the three base line fiber arrangements

Grahic Jump Location
Figure 10

Process of constructing composite plate model

Grahic Jump Location
Figure 11

Energy balance calculation results for base line fiber arrangement Data Set 1 at three different values of d∕a

Grahic Jump Location
Figure 12

Comparison of distributions of displacement amplitude for the cases of regular and quasirandom fiber arrangements in the vicinity of the model composite panel, at frequencies, from top to bottom, ka=0.3, 0.6, 0.9, and 1.2. Left column: Regular fiber arrangement. Right column: Quasirandom fiber arrangement based on base line fiber arrangement Data Set 1.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In