Band structure analysis of a thin plate with periodic arrangements of slender beams Articles uri icon

publication date

  • April 2018

start page

  • 330

end page

  • 345


  • 420

International Standard Serial Number (ISSN)

  • 0022-460X

Electronic International Standard Serial Number (EISSN)

  • 1095-8568


  • This work analyzes the wave propagation in structures composed of a periodic arrangement of vertical beams rigidly joined to a plate substrate. Three different configurations for the distribution of the beams have been analyzed: square, triangular, and hexagonal. A dimensional analysis of the problem indicates the presence of three dimensionless groups of parameters controlling the response of the system. The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells. Illustrative examples of the effect of the different dimensionless parameters on the dynamic behavior of the system are presented, providing information relevant for design. (C) 2017 Elsevier Ltd. All rights reserved.


  • Physics


  • lattice structure; beam arrays; bloch's theorem; band gap; dimensional analysis