Directionality of flexural intensity in orthotropic plates

J Acoust Soc Am. 2011 Feb;129(2):701-6. doi: 10.1121/1.3531837.

Abstract

This work investigates composite plates and their ability to direct flexural intensity, which has important implications for noise and vibration control. It is well known that a composite plate supports a flexural wave whose wavenumber depends strongly on its angle of propagation. This suggests that a composite plate will direct more flexural intensity in some directions than others. The present work considers a thin multi-layered plate in which each layer is constructed from an orthotropic material and has a chosen orientation relative to the other layers. Such an approach may be used to design highly directive structures. An analysis is presented in which a two-dimensional Fourier transform is analytically applied to the equation of motion, yielding algebraic expressions for displacements and stress resultants. Next, a two-dimensional discrete inverse Fourier transform is applied to compute displacements and stress resultants at discrete locations. Flexural intensity is computed at these locations.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Acoustics / instrumentation*
  • Computer Simulation
  • Equipment Design
  • Fourier Analysis
  • Models, Theoretical*
  • Noise / prevention & control*
  • Numerical Analysis, Computer-Assisted
  • Vibration