The geometry uniformity parameters effect on the dynamic behaviour of trapezoidal beam

Authors

  • Mohamed Bouamama
  • Mohamed Bouamama
  • Zouaoui Satla
  • Azzeddine Belaziz
  • Lakhdar Boumia

DOI:

https://doi.org/10.54021/seesv5n1-079

Keywords:

active control, trapezoidal beam, piezoelectric materials, finite element model, fundamental frequency

Abstract

Understanding the delicate interplay between geometric design principles and dynamic responses is vital for numerous engineering applications because it allows optimization of structural integrity and performance for manufacturing and special use of this structures. In this study, a complete numerical analysis is undertaken to investigate how differences in geometric parameters impact the structural behaviour of a cantilever smart trapezoidal beam, giving useful insights for engineering applications. The beam consists of a host structure made of aluminum couple with two piezoelectric layers on its top and bottom surface. For such purpose, the study a 3D finite element model has been implemented in ANSY APDL and applied by Matlab we used the interfaces between the two software, considering that the beam changes its form in the axial direction following polynomial based function. The function takes two geometric parameters as an input which are the tapering ratios and the degree of non-uniformity. The beam is then subjected to a harmonic based excitation and the effect of changing tapering ratios and the degree of non-uniformity is analyzed., allowing analysis of the effects of altering tapering ratios and the degree of non-uniformity The results led to a conclusion that just by manipulating the mentioned parameters a considerable changing in the fundamental frequency and the amplitude has been noticed. Addition our numerical analysis shows that small changes to the tapering ratios and degree of non-uniformity have a considerable influence on the behavior of cantilever smart trapezoidal beams. These discoveries add to continuing research in smart materials, paving the road for creative engineering solutions.

References

Bendine, K., & Wankhade, R. L. (2017). Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm. International Journal of Advanced Structural Engineering, 9(4), 375–384. https://doi.org/10.1007/s40091-017-0173-x

Bendine, K., Boukhoulda, F. B., Nouari, M., & Satla, Z. (2016). Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory. Earthquake Engineering and Engineering Vibration, 15(4), 611–620. https://doi.org/10.1007/s11803-016-0352-y

Bendine, K., Hamdaoui, M., & Boukhoulda, B. F. (2019). Piezoelectric energy harvesting from a bridge subjected to time-dependent moving loads using finite elements. Arabian Journal for Science and Engineering, 44(6), 5743–5763. https://doi.org/10.1007/s13369-019-03721-0

Bendine, K., Junho Pereira, J. L., & Ferreira Gomes, G. (2023). Energy harvesting enhancement of nonuniform functionally graded piezoelectric beam using artificial neural networks and Lichtenberg algorithm. Structures, 57, 105271. https://doi.org/10.1016/j.istruc.2023.105271

Bendine, K., Satla, Z., Boukhoulda, F. B., & Nouari, M. (2018). Active vibration damping of smart composite beams based on system identification technique. Curved and Layered Structures, 5(1), 43–48. https://doi.org/10.1515/cls-2018-0004

Bendine, K., Wei, Y.-J., Wang, X., Chen, M., & Zhang, S.-Q. (2023). An improved active damping of Fan Blade using piezoelectric MFC actuators and PSO Optimization. Mechanics of Advanced Materials and Structures, 1–10. https://doi.org/10.1080/15376494.2023.2294162

Birgin, H. B., D’Alessandro, A., & Ubertini, F. (2023a). Dynamic behavior of structural beams made of innovative smart concrete. Procedia Structural Integrity, 44, 1624–1631. https://doi.org/10.1016/j.prostr.2023.01.208

Cacciola, P., & Tombari, A. (2015). Vibrating barrier: A novel device for the passive control of structures under ground motion. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2179), 20150075. https://doi.org/10.1098/rspa.2015.0075

El Harti, K., Saadani, R., & Rahmoune, M. (2022). Active vibration control of Timoshenko sigmoid functionally graded porous composite beam with distributed piezoelectric sensor/actuator in a thermal environment. Designs, 7(1), 2. https://doi.org/10.3390/designs7010002

Elmeiche, A., Bouamama, M., Elhannani, A., Belaziz, A., & Hammoudi, A. (2022). Dynamic Modeling of Functionally Graded Beams Undergoing Mobile Mass. Materials Physics & Mechanics, 48(01), 091–105. https://doi.org/10.18149/MPM.4812022_8

Ghadiri, M., Shafiei, N., & Alireza Mousavi, S. (2016). Vibration analysis of a rotating functionally graded tapered microbeam based on the modified couple stress theory by DQEM. Applied Physics A, 122(9). https://doi.org/10.1007/s00339-016-0364-5

Huang, Z., Huang, F., Wang, X., & Chu, F. (2022a). Active vibration control of composite cantilever beams. Materials, 16(1), 95. https://doi.org/10.3390/ma16010095

Huang, Z., Peng, H., Wang, X., & Chu, F. (2023). Finite Element Modeling and vibration control of plates with active constrained layer damping treatment. Materials, 16(4), 1652. https://doi.org/10.3390/ma16041652

Jang, T. S. (2019). Correction to: A general method for analyzing moderately large deflections of a non-uniform beam: An infinite bernoulli–euler–von kármán beam on a nonlinear Elastic Foundation. Acta Mechanica, 230(9), 3431–3438. https://doi.org/10.1007/s00707-019-02494-9

Kambampati, S., & Ganguli, R. (2014). Non-uniform beams and stiff strings isospectral to axially loaded uniform beams and piano strings. Acta Mechanica, 226(4), 1227–1239. https://doi.org/10.1007/s00707-014-1238-6

Li, C., Shen, L., Shao, J., & Fang, J. (2023). Simulation and experiment of active vibration control based on flexible piezoelectric MFC composed of PZT and Pi Layer. Polymers, 15(8), 1819. https://doi.org/10.3390/polym15081819

Li, F.-M., Kishimoto, K., Wang, Y.-S., Chen, Z.-B., & Huang, W.-H. (2008). Vibration control of beams with active constrained layer damping. Smart Materials and Structures, 17(6), 065036. https://doi.org/10.1088/0964-1726/17/6/065036

Liu, Q., Shi, R., & Lu, L. (2024). Existing vibration control techniques applied in construction and Mechanical Engineering. Advances in Transdisciplinary Engineering. https://doi.org/10.3233/atde231155

Mayer, D., & Herold, S. (2017). Passive, Adaptive, Active Vibration Control, and Integrated Approaches. Vibration Analysis and Control in Mechanical Structures and Wind Energy Conversion Systems.

Moheimani, S. O., Halim, D., & Fleming, A. J. (2003). Spatial control of vibration - theory and experiments. Series on Stability Vibration and Control of Systems, Series A. https://doi.org/10.1142/9789812794284

Praisach, Z. I., Pîrșan, D. A., Harea, I., & Stan, P. T. (2023). An analytical method for evaluating the dynamic behavior of a soft clamped-type support. Vibroengineering Procedia, 52, 1–6. https://doi.org/10.21595/vp.2023.23665

Rahimi, F., Aghayari, R., & Samali, B. (2020). Application of tuned mass dampers for structural vibration control: A state-of-the-art review. Civil Engineering Journal, 6(8), 1622–1651. https://doi.org/10.28991/cej-2020-03091571

Salah, M., Boukhoulda, F. B., Nouari, M., & Bendine, K. (2020). Temperature variation effect on the active vibration control of smart composite beam. Acta Mechanica et Automatica, 14(3), 166–174. https://doi.org/10.2478/ama-2020-0024

SATLA, Z., Boumia, L., & Kherrab, M. (2024). Vibration control of FGM plate using optimally placed piezoelectric patches. Revista Mexicana de Física, 70(1 Jan-Feb). https://doi.org/10.31349/revmexfis.70.011002

Serhane, H., Bendine, K., Boukhoulda, F. B., & Lousdad, A. (2020). Numerical analysis based on finite element method of active vibration control of a sandwich plate using piezoelectric patches. Mechanics and Mechanical Engineering, 24(1), 7–16. https://doi.org/10.2478/mme-2020-0005

Singh, K., Sharma, S., Kumar, R., & Talha, M. (2021). Vibration control of cantilever beam using poling tuned piezoelectric actuator. Mechanics Based Design of Structures and Machines, 51(4), 2217–2240. https://doi.org/10.1080/15397734.2021.1891934

Waqar, A., Othman, I., Shafiq, N., Altan, H., & Ozarisoy, B. (2023). Modeling the effect of overcoming the barriers to passive design implementation on Project Sustainability Building Success: A structural equation modeling perspective. Sustainability, 15(11), 8954. https://doi.org/10.3390/su15118954

Yang, Z.-X., He, X.-T., Peng, D.-D., & Sun, J.-Y. (2019). Free damping vibration of piezoelectric cantilever beams: A biparametric perturbation solution and its experimental verification. Applied Sciences, 10(1), 215. https://doi.org/10.3390/app10010215

Yu, Y., Zhang, X. N., & Xie, S. L. (2009). Optimal shape control of a beam using piezoelectric actuators with low control voltage. Smart Materials and Structures, 18(9), 095006. https://doi.org/10.1088/0964-1726/18/9/095006

Zhao, Y., Du, J., Chen, Y., & Liu, Y. (2022). Nonlinear dynamic behavior of a generally restrained pre-pressure beam with a partial non-uniform foundation of nonlinear stiffness. International Journal of Structural Stability and Dynamics, 23(03). https://doi.org/10.1142/s0219455423500281

Downloads

Published

2024-04-29

How to Cite

Bouamama, M., Bouamama, M., Satla, Z., Belaziz, A., & Boumia, L. (2024). The geometry uniformity parameters effect on the dynamic behaviour of trapezoidal beam. STUDIES IN ENGINEERING AND EXACT SCIENCES, 5(1), 1530–1547. https://doi.org/10.54021/seesv5n1-079