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On low-frequency
vibrations of a composite string with contrast properties for
energy scavenging fabric devices
Askar Kudaibergenov, Andrea Nobili and Ludmilla Prikazchikova |
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Vol. 11 (2016), No. 3, 231–243
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Abstract |
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Free vibrations of a two-component string with high-contrast material parameters are considered at different boundary conditions to illustrate the very low-frequency energy harvesting capability of fabric devices. It is revealed that, only for the case of mixed boundary conditions, low-frequency (locally) almost rigid-body vibrations are admissible, provided that material parameter ratios lie in some well defined interval. A low-frequency perturbation procedure is carried out to determine the eigenfrequencies as well as the eigenforms. The analysis is extended to a piecewise inhomogeneous string and to a string supported on an elastic foundation. It is shown that both situations may still admit low-frequency vibrations, under certain restrictions on the material properties. This is particularly remarkable given that the situation of elastic support normally possesses two nonzero cutoff frequencies. The results may be especially relevant for energy scavenging fabric devices, where very low-frequency ( Hz) mechanical vibrations of textile fibers are harvested through friction. |
Keywords
low-frequency vibration, energy scavenging, contrast
properties, strings
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Milestones
Received: 20 November 2015
Revised: 29 January 2016
Accepted: 7 February 2016
Published: 29 March 2016
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Authors |
| Askar Kudaibergenov | |
| Department of Mathematical and
Computer Modelling al-Farabi Kazakh National University 71 al-Farabi Avenue Almaty 480078 Kazakhstan |
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| Andrea Nobili | |
| DIEF - Dipartimento di Ingegneria
“Enzo Ferrari” Università di Modena e Reggio Emilia Via Vignolese 905 I-41125 Modena Italy |
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| Ludmilla Prikazchikova | |
| School of Computing and
Mathematics Keele University Keele, Staffordshire ST5 5BG United Kingdom |
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