Dispersion and asymmetry of chiral gravitational waves in gyroscopic mechanical systems. Part 1: Discrete lattice strips

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Kandiah, A, Jones, IS, Movchan, NV and Movchan, AB (2025) Dispersion and asymmetry of chiral gravitational waves in gyroscopic mechanical systems. Part 1: Discrete lattice strips. Quarterly Journal of Mechanics and Applied Mathematics, 78 (2). ISSN 0033-5614

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Abstract

The present paper introduces the notion of chiral gravitational elastic waves and explores their connections to equatorial and planetary waves. The analysis of the gravity-induced waveforms in gyroscopic systems composed of gyropendulums provides important insights into the dynamics of waves in the vicinity of the equatorial belt. We show that the direction of motion of the chiral waveforms can be controlled by choosing the orientation of the spinners. The presence of gravity is shown to affect the stop band frequencies for such structures, providing an additional control parameter for the chiral waveguides. The theoretical work is accompanied by illustrative examples.

Item Type: Article
Uncontrolled Keywords: 4012 Fluid Mechanics and Thermal Engineering; 49 Mathematical Sciences; 4901 Applied Mathematics; 40 Engineering; 0102 Applied Mathematics; 0905 Civil Engineering; 0913 Mechanical Engineering; Applied Mathematics; 4012 Fluid mechanics and thermal engineering; 4901 Applied mathematics
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Divisions: Engineering
Publisher: Oxford University Press (OUP)
Date of acceptance: 6 April 2025
Date of first compliant Open Access: 2 June 2025
Date Deposited: 02 Jun 2025 14:46
Last Modified: 02 Jun 2025 15:00
DOI or ID number: 10.1093/qjmam/hbaf004
URI: https://researchonline.ljmu.ac.uk/id/eprint/26489
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