An Analytical Solution of Piezoelectric Energy Harvesting from Vibrations in Steel-Concrete Composite Beams subjected to Moving Harmonic Load
Received: 24 June 2024 | Revised: 28 July 2024 | Accepted: 3 August 2024 | Online: 3 October 2024
Corresponding author: Nguyen Dang Diem
Abstract
Steel–concrete composite beams are ubiquitous in construction, especially in bridge building. This paper addresses the harvesting of energy from a beam subjected to a moving harmonic load using analytical methods. The harvesting is performed by attaching a thin piezoelectric patch directly to the bottom surface of the steel beam. Based on the assumptions of the Euler–Bernoulli beam theory for the relationship between displacement and deformation, the differential equation for the vibration of a beam is derived using Hamiltonian principles. A theoretical formulation is presented for the problem of harvesting energy from a harmonic moving load on a simply supported beam. The dynamic responses are determined in exact form using analytical methods, and the energy harvested from the piezoelectric material layer is calculated. The influence of the speed of the load on the energy harvesting of the piezoelectric material layer is investigated in detail.
Keywords:
piezoelectric energy harvesting, hamonic moving load, analytical solution, beamDownloads
References
P. B. Thang and L. V. Anh, "Structural analysis of steel-concrete composite beam bridges utilizing the shear connection model," Transport and Communications Science Journal, vol. 72, no. 7, pp. 811–823, 2021.
K. Huda, H. Sheelan, and A. Khalil, "Long–term behavior of composite steel plate-concrete slabs incorporating waste plastic fibers," Magazine of Civil Engineering, vol. 109, no. 1, 2022, Art. no. 10904.
H. D. Ta, K. T. Nguyen, T. D. Ngoc, H. T. Do, T. X. Nguyen, and D. D. Nguyen, "Approximation solution for steel concrete beam accounting high-order shear deformation using trigonometric-series," Journal of Materials and Engineering Structures, vol. 9, no. 4, pp. 599–605, Dec. 2022.
V. H. Ho, N. L. Nguyen, and V. M. Ngo, "Theoretical calculation of bending capacity of a steel beam-ultra high performance concrete slab composite girder," Transport and Communications Science Journa, vol. 74, no. 4, pp. 497–506, 2023.
H. Biglari, H. Teymouri, and A. Shokouhi, "Dynamic Response of Sandwich Beam with Flexible Porous Core Under Moving Mass," Mechanics of Composite Materials, vol. 60, no. 1, pp. 163–182, Mar. 2024.
P. T. B. Lien, "Free vibration of porous functionally graded sandwich beams on elastic foundation based on trigonometric shear deformation theory," Transport and Communications Science Journal, vol. 74, no. 8, pp. 946–961, 2023.
D. Wu, Y. Lei, Z. Wang, B. Yu, and D. Zhang, "Free Vibration Analysis of Carbon-Nanotube-Reinforced Beams Resting on a Viscoelastic Pasternak Foundation by the Nonlocal Eshelby–Mori–Tanaka Method," Mechanics of Composite Materials, vol. 59, no. 3, pp. 479–494, Jul. 2023.
T. D. Hien, N. D. Hung, N. T. Hiep, G. V. Tan, and N. V. Thuan, "Finite Element Analysis of a Continuous Sandwich Beam resting on Elastic Support and Subjected to Two Degree of Freedom Sprung Vehicles," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10310–10315, Apr. 2023.
V. N. Burlayenko, R. Kouhia, and S. D. Dimitrova, "One-Dimensional vs. Three-Dimensional Models in Free Vibration Analysis of Axially Functionally Graded Beams with Non-Uniform Cross-Sections," Mechanics of Composite Materials, vol. 60, no. 1, pp. 83–102, Mar. 2024.
H. T. Duy, N. D. Diem, G. V. Tan, V. V. Hiep, and N. V. Thuan, "Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus," Engineering, Technology & Applied Science Research, vol. 13, no. 1, pp. 9985–9990, Feb. 2023.
M. Ali, M. E. Dandachy, and A. M. Ellakany, "Dynamic response of Steel-Concrete Beams with Partial Interaction due to moving loads," Revista Ciencia y Construccion, vol. 4, no. 4, pp. 6–22, Dec. 2023.
H. Zhang, W. Qin, Z. Zhou, P. Zhu, and W. Du, "Piezomagnetoelastic energy harvesting from bridge vibrations using bi-stable characteristics," Energy, vol. 263, Jan. 2023, Art. no. 125859.
I. V. Andrianov, A. A. Kolpakov, and L. Faella, "Asymptotic Model of a Piezoelectric Composite Beam," Journal of Applied Mechanics and Technical Physics, Jun. 2024.
I. Dehghan Hamani, R. Tikani, H. Assadi, and S. Ziaei-Rad, "Energy harvesting from moving harmonic and moving continuous mass traversing on a simply supported beam," Measurement, vol. 150, Jan. 2020, Art. no. 107080.
W. Du, Z. Xiang, and X. Qiu, "Stochastic analysis of an acoustic black hole piezoelectric energy harvester under Gaussian white noise excitation," Applied Mathematical Modelling, vol. 131, pp. 22–32, Jul. 2024.
A. Dasdemir, "A Modal Analysis of Forced Vibration of a Piezoelectric Plate with Initial Stress by the Finite-Element Simulation," Mechanics of Composite Materials, vol. 58, no. 1, pp. 69–80, Mar. 2022.
R. Regupathi and C. Jayaguru, "Damage Evaluation of Reinforced Concrete structures at lap splices of tensional steel bars using Bonded Piezoelectric Transducers," Latin American Journal of Solids and Structures, vol. 19, May 2022, Art. no. e443.
C. Adoukatl, G. E. Ntamack, and L. Azrar, "High order analysis of a nonlinear piezoelectric energy harvesting of a piezo patched cantilever beam under parametric and direct excitations," Mechanics of Advanced Materials and Structures, vol. 30, no. 23, pp. 4835–4861, Dec. 2023.
A. Erturk and D. J. Inman, Piezoelectric Energy Harvesting. New York, NY, USA: Wiley, 2011.
A. Erturk, "Piezoelectric energy harvesting for civil infrastructure system applications: Moving loads and surface strain fluctuations," Journal of Intelligent Material Systems and Structures, vol. 22, no. 17, pp. 1959–1973, Nov. 2011.
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