Continuous models for 2D discrete media valid for higher-frequency domain

  • Authors:

  • I. V. Andrianov;J. Awrejcewicz

  • Affiliations:

  • Institute of General Mechanics RWTH Aachen, Templergraben 64, Aachen, D-52062, Germany;Department of Automatics and Biomechanics, Technical University of Łód, 1/15 Stefanowski Street, 90-924 Łód, Poland

  • Venue:
  • Computers and Structures
  • Year:
  • 2008

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Abstract

The paper is focused on 2D continuous models derived from a discrete micro-structure. A new continualization procedure that refers to the non-local interaction between variables of the discrete media is proposed. The proposed procedure covers mainly the application of two-point Pade approximations and allows us to obtain continuous models suitable for analysis of 2D lattice vibrations with arbitrary frequencies.