A Novel Method for the Estimation of the Elastic Modulus of Ultra-High Performance Concrete using Vibration Data
Received: 17 May 2024 | Revised: 31 May 2024 | Accepted: 5 June 2024 | Online: 8 June 2024
Corresponding author: Quoc Bao Nguyen
Abstract
The elastic modulus of concrete is one of the most important parameters in the analysis and design of concrete structures. However, determining the elastic modulus in civil structures using core-drilled samples is time-consuming and labor-intensive. Additionally, the elastic modulus of Ultra-High Performance Concrete (UHPC) varies significantly depending on its composition. This paper proposes an improved, non-destructive application to identify the elastic modulus of UHPC materials in in-service structures. The elastic modulus is estimated through calibration between a numerical model and experimental UHPC plate vibration test results, using frequency and mode shapes. This calibration involves solving an inverse problem using optimization techniques such as Particle Swarm Optimization (PSO), Genetic Algorithm (GA), Cuckoo Search, and the YUKI algorithm. Updating the plate characteristics is made possible by the development of numerous iterations, where each iteration updates the elastic modulus, thickness, and width values in the term to find the best solution. The highest accuracies compared to experimental data natural frequency values were found in models updated by GA, PSO, YUKI, and Cuckoo algorithms, with errors of 10.77%, 6.58%, 6.87%, and 6.87%, respectively. An experimental sample was tested to determine the elastic modulus of the UHPC, and the proposed application showed a 0.55% error compared to the experimental value. Thus, the estimated elastic modulus value is highly accurate.
Keywords:
accelerometers, elastic modulus, experimental analysis, model updating, UHPCDownloads
References
H. G. Russell, B. A. Graybeal, and Inc. Henry G. Russell, "Ultra-high performance concrete : a state-of-the-art report for the bridge community," Office of Infrastructure Research & Development, Federal Highway Administration, McLean, VA, USA, FHWA-HRT-13-060, Jun. 2013.
E. Fehling, M. Schmidt, J. Walraven, T. Leutbecher, and S. Fröhlich, Ultra-High Performance Concrete UHPC: Fundamentals, Design, Examples. New York, NY, USA: John Wiley & Sons, 2015.
D. Bierwagen and A. Abu-Hawash, "Ultra High Performance Concrete Highway Bridge," in Mid-Continent Transportation Research Symposium, Ames, IA, USA, Aug. 2005, pp. 1–14.
C. Ozyildirim, "Evaluation of Ultra-High-Performance Fiber-Reinforced Concrete," Virginia Center for Transportation Innovation Research, Charlottesville, VA, USA, FHWA/VCTIR 12-R1, Aug. 2011.
C. R. Farrar and S. W. Doebling, "Damage Detection and Evaluation II," in Modal Analysis and Testing, J. M. M. Silva and N. M. M. Maia, Eds. Dordrecht, Netherlands: Springer, 1999, pp. 345–378.
M. S. Mohammed and K. Ki-Seong, "Chirplet Transform in Ultrasonic Non-Destructive Testing and Structural Health Monitoring: A Review," Engineering, Technology & Applied Science Research, vol. 9, no. 1, pp. 3778–3781, Feb. 2019.
N. N. Long, N. H. Quyet, N. X. Tung, B. T. Thanh, and T. N. Hoa, "Damage Identification of Suspension Footbridge Structures using New Hunting-based Algorithms," Engineering, Technology & Applied Science Research, vol. 13, no. 4, pp. 11085–11090, Aug. 2023.
A. E. Aktan, F. N. Catbas, K. A. Grimmelsman, and C. J. Tsikos, "Issues in Infrastructure Health Monitoring for Management," Journal of Engineering Mechanics, vol. 126, no. 7, pp. 711–724, Jul. 2000.
L. Fryba and M. Pirner, "Load tests and modal analysis of bridges," Engineering Structures, vol. 23, no. 1, pp. 102–109, Jan. 2001.
R. W. Sun and G. C. Fanourakis, "An assessment of factors affecting the elastic modulus of concrete," Structural Concrete, vol. 23, no. 1, pp. 593–603, 2022.
M. A. Hadianfard, H. Marzouk, and C. Shafieyanb, "Strength and elastic moduli of a concrete bridge using advanced nondestructive techniques," Scientia Iranica, vol. 24, no. 3, pp. 942–952, Jun. 2017.
I. Ivanchev, "Experimental determination of dynamic modulus of elasticity of concrete with ultrasonic pulse velocity method and ultrasonic pulse echo method," IOP Conference Series: Materials Science and Engineering, vol. 1252, no. 1, Jun. 2022, Art. no. 012018.
A. Alshahrani, S. Kulasegaram, and A. Kundu, "Elastic modulus of self-compacting fibre reinforced concrete: Experimental approach and multi-scale simulation," Case Studies in Construction Materials, vol. 18, Jul. 2023, Art. no. e01723.
Q. Zhang and M. Afzal, "Retracted: Prediction of the elastic modulus of recycled aggregate concrete applying hybrid artificial intelligence and machine learning algorithms," Structural Concrete, vol. 23, no. 4, pp. 2477–2495, 2022.
D. H. Nguyen, T. T. Bui, G. De Roeck, and M. Abdel Wahab, "Damage detection in Ca-Non Bridge using transmissibility and artificial neural networks," Structural Engineering and Mechanics, vol. 71, no. 2, pp. 175–183, Jan. 2019.
D. H. Nguyen, Q. B. Nguyen, T. Bui-Tien, G. De Roeck, and M. Abdel Wahab, "Damage detection in girder bridges using modal curvatures gapped smoothing method and Convolutional Neural Network: Application to Bo Nghi bridge," Theoretical and Applied Fracture Mechanics, vol. 109, Oct. 2020, Art. no. 102728.
N. M. M. Maia, J. M. M. Silva, E. A. M. Almas, and R. P. C. Sampaio, "Damage detection in structures: from mode shape to frequency response function methods," Mechanical Systems and Signal Processing, vol. 17, no. 3, pp. 489–498, May 2003.
Y. J. Yan, L. Cheng, Z. Y. Wu, and L. H. Yam, "Development in vibration-based structural damage detection technique," Mechanical Systems and Signal Processing, vol. 21, no. 5, pp. 2198–2211, Jul. 2007.
S. S. Saidin et al., "Operational modal analysis and finite element model updating of ultra-high-performance concrete bridge based on ambient vibration test," Case Studies in Construction Materials, vol. 16, Jun. 2022, Art. no. e01117.
H. Tran-Ngoc, S. Khatir, G. De Roeck, T. Bui-Tien, L. Nguyen-Ngoc, and M. Abdel Wahab, "Model Updating for Nam O Bridge Using Particle Swarm Optimization Algorithm and Genetic Algorithm," Sensors, vol. 18, no. 12, Dec. 2018, Art. no. 4131.
"MathWorks - Makers of MATLAB and Simulink." https://www.mathworks.com/.
A. Alsalman, C. N. Dang, G. S. Prinz, and W. M. Hale, "Evaluation of modulus of elasticity of ultra-high performance concrete," Construction and Building Materials, vol. 153, pp. 918–928, Oct. 2017.
H. D. Pham, T. Khuc, T. V. Nguyen, H. V. Cu, D. B. Le, and T. P. Trinh, "Investigation of flexural behavior of a prestressed girder for bridges using nonproprietary UHPC," Advances in concrete construction, vol. 10, no. 1, pp. 71–79, 2020.
M. Mitchell, An Introduction to Genetic Algorithms. Cambridge, MA, USA: MIT Press, 1998.
J. Kennedy and R. Eberhart, "Particle swarm optimization," in International Conference on Neural Networks, Perth, WA, Australia, Dec. 1995, vol. 4, pp. 1942–1948.
X.-S. Yang and S. Deb, "Cuckoo Search via Levy flights," in World Congress on Nature & Biologically Inspired Computing, Coimbatore, India, Dec. 2009, pp. 210–214.
B. Benaissa, N. A. Hocine, S. Khatir, M. K. Riahi, and S. Mirjalili, "YUKI Algorithm and POD-RBF for Elastostatic and dynamic crack identification," Journal of Computational Science, vol. 55, Oct. 2021, Art. no. 101451.
J. Li and Z. Deng, "Tensile behavior of ultra-high performance concrete reinforced with different hybrid fibers," Structural Concrete, vol. 24, no. 1, pp. 1415–1435, 2023.
Downloads
How to Cite
License
Copyright (c) 2024 Huong Duong Nguyen, Samir Khatir, Quoc Bao Nguyen
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.
