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  1. Home
  2. Indian Institute of Technology Madras
  3. Publication1
  4. Band Gap Estimation of D-LEGO Meta-structures Using FRF-Based Substructuring and Bloch Wave Theory
 
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Band Gap Estimation of D-LEGO Meta-structures Using FRF-Based Substructuring and Bloch Wave Theory

Date Issued
01-01-2023
Author(s)
Gosavi, Hrishikesh S.
Phanisri Pradeep Pratapa 
Indian Institute of Technology, Madras
Malladi, Vijaya V.N.Sriram
DOI
10.1007/978-3-031-04094-8_5
Abstract
Periodic structures are found to exhibit band gaps which are frequency bandwidths where structural vibrations are absorbed. In this paper, meta-structures are built by dynamically linking oscillators in a periodic pattern, which are referred to as dynamically linked element grade oscillators or D-LEGOs. The location of the band gaps is numerically determined for a one-dimensional D-LEGO. The unit cell for the D-LEGO structure is considered to be made up of two longitudinal bar elements of different properties. For such a structure, the frequency response functions (FRFs) of a single unit cell are used to estimate the band gaps of a periodic-lattice structure by adapting the Bloch wave theory. Alternatively, the FRF of the multi-unit cell is determined using FRF-based substructuring (FBS) approach. The band gaps resulting from these two approaches are compared and verified.
Subjects
  • Band gaps

  • Bloch wave theory

  • Periodic structure

  • Substructuring

  • Wave propagation

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