Herschel-Quincke filter-inspired periodic structures for suppression of dilation and torsional waves in elastic rods and shafts
Abstract
This paper investigates wave propagation in straight rods and shafts incorporating periodic Herschel-Quincke (HQ) inserts. Elementary mathematical models employing the plane cross-sections kinematic hypothesis (in the former case, for dilation waves, and, in the later one, for shear waves) are used to obtain equations defining zero transmission frequencies and frequencies separating pass- and stop- bands in an explicit analytical form. Intrinsic link between these frequencies is demonstrated as well as their link with eigenfrequencies of a single HQ filter inserted in an infinite waveguide. The trapped mode case occurring when constituents of the HQ filter have identical mechanical properties is demonstrated and explained. Combining periodicity and HQ filtering effects is shown to be a promising tool for tailoring vibro-isolation properties of waveguides. Reported results and their interpretation should facilitate the design of vibroacoustic meta-materials and the understanding of their performance.
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BibTeX
@article{avetisov2026herschelquincke,
title = {{Herschel-Quincke filter-inspired periodic structures for suppression of dilation and torsional waves in elastic rods and shafts}},
author = {Stepan Avetisov and Sergey Sorokin and Adrien Pelat and François Gautier},
journal = {Journal of Sound and Vibration},
year = {2026},
month = sep,
doi = {10.1016/j.jsv.2026.119881},
url = {https://hal.science/hal-05766252v1},
note = {CC BY},
}
RIS
TY - JOUR
TI - Herschel-Quincke filter-inspired periodic structures for suppression of dilation and torsional waves in elastic rods and shafts
AU - Stepan Avetisov
AU - Sergey Sorokin
AU - Adrien Pelat
AU - François Gautier
PY - 2026
DA - 2026/09/27
JO - Journal of Sound and Vibration
DO - 10.1016/j.jsv.2026.119881
UR - https://hal.science/hal-05766252v1
AB - This paper investigates wave propagation in straight rods and shafts incorporating periodic Herschel-Quincke (HQ) inserts. Elementary mathematical models employing the plane cross-sections kinematic hypothesis (in the former case, for dilation waves, and, in the later one, for shear waves) are used to obtain equations defining zero transmission frequencies and frequencies separating pass- and stop- bands in an explicit analytical form. Intrinsic link between these frequencies is demonstrated as well as their link with eigenfrequencies of a single HQ filter inserted in an infinite waveguide. The trapped mode case occurring when constituents of the HQ filter have identical mechanical properties is demonstrated and explained. Combining periodicity and HQ filtering effects is shown to be a promising tool for tailoring vibro-isolation properties of waveguides. Reported results and their interpretation should facilitate the design of vibroacoustic meta-materials and the understanding of their performance.
SN - 0022-460X
SN - 1095-8568
ER -