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Uncertainty in Power Flow Due to Measurement Errors in Virtual Point Transformation for Frequency-Based Substructuring Read chapter Read first chapter

2023 | OriginalPaper | Chapter

5. Band Gap Estimation of D-LEGO Meta-structures Using FRF-Based Substructuring and Bloch Wave Theory

Authors : Hrishikesh S. Gosavi, Phanisri P. Pratapa, Vijaya V. N. Sriram Malladi

Published in: Dynamic Substructures, Volume 4

Publisher: Springer International Publishing

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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.

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previous chapter Real-Time Hybrid Substructuring for Shock Applications Considering Effective Actuator Control
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Metadata
Title
Band Gap Estimation of D-LEGO Meta-structures Using FRF-Based Substructuring and Bloch Wave Theory
Authors
Hrishikesh S. Gosavi
Phanisri P. Pratapa
Vijaya V. N. Sriram Malladi
Copyright Year
2023
Book
Dynamic Substructures, Volume 4

Print ISBN: 978-3-031-04093-1

Electronic ISBN: 978-3-031-04094-8

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-04094-8_5