A precise method for solving wave propagation in hollow sandwich cylinders with prismatic cores

Junmiao Meng, Ziehen Deng, Xiaojian Xu, Kai Zhang, Xiuhui Hou

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Wave propagation in infinitely long hollow sandwich cylinders with prismatic cores is analyzed by the extended Wittrick-Williams (W-W) algorithm and the precise integration method (PIM). The effective elastic constants of prismatic cellular materials are obtained by the homogenization method. By applying the variational principle and introducing the dual variables, the canonical equations of Hamiltonian system are constructed. Thereafter, the wave propagation problem is converted to an eigenvalue problem. In numerical examples, the effects of the prismatic cellular topology, the relative density, and the boundary conditions on dispersion relations, respectively, are investigated.

Original languageEnglish
Pages (from-to)360-374
Number of pages15
JournalActa Mechanica Solida Sinica
Volume28
Issue number4
DOIs
StatePublished - 1 Aug 2015

Keywords

  • cellular material
  • dispersion relation
  • extended Wittrick-Williams algorithm
  • Hamiltonian system

Fingerprint

Dive into the research topics of 'A precise method for solving wave propagation in hollow sandwich cylinders with prismatic cores'. Together they form a unique fingerprint.

Cite this