Investigation of Elementary Vibrations: Derivation, Experimental Analysis, and Key Findings
Keywords:
Elementary vibrations, natural frequency, free vibrations, experimental procedure, apparatus, results analysis, key findings, and vibration dynamics.Abstract
This report includes a detailed discussion on the results obtained through the Elementary Vibrations experiment. At the beginning of the report, the purpose and the background of the experiment will be discussed and the two equations to calculate the natural frequency of free vibrations will be derived. Then the apparatus used and the experimental procedure will be described and the results recorded during the experiment will be shown and discussed in detail. At the end, the key findings will be explained.
References
Sarviha, A., Barati, E., Zarkak, M. R., Derakhshandeh, J. F., & Alam, M. M. (2024). Experimental investigations on the wake‐induced vibration of an electromagnetic energy‐harvesting system. International Journal of Energy Research, 2024(1), 7072340.
Trendafilova, I. (2021). Singular spectrum analysis for the investigation of structural vibrations. Engineering Structures, 242, 112531.
Flegner, P., Kačur, J., Frančáková, R., Durdán, M., & Laciak, M. (2023). Application of Cluster Analysis for Classification of Vibration Signals from Drilling Stand Aggregates. Applied Sciences, 13(10), 6337.
Li, X., Zhang, H., Yang, H., Luo, J., Xiao, Z., & Lei, H. (2024). Free vibration characteristics of integrated fluted-core composite sandwich cylinders. Composite Structures, 327, 117691.
Brunetti, M., Mitura, A., Romeo, F., & Warminski, J. (2022). Nonlinear dynamics of bistable composite cantilever shells: An experimental and modelling study. Journal of Sound and Vibration, 526, 116779.
Brunetti, M., Mitura, A., Romeo, F., & Warminski, J. (2022). Nonlinear dynamics of bistable composite cantilever shells: An experimental and modelling study. Journal of Sound and Vibration, 526, 116779.
Verma, V., & Nallasivam, K. (2021). Free vibration behaviour of thin-walled concrete box-girder bridge using Perspex sheet experimental model. Journal of Achievements in Materials and Manufacturing Engineering, 106(2).
Han, P., Huang, W. X., Qin, D., Wang, J., & Zhao, J. (2023). An analytical model for estimating the maximum energy harvesting efficiency from vortex-induced vibration. Journal of Fluids and Structures, 122, 103961.
Chen, D., Rezaei, S., Rosendahl, P. L., Xu, B. X., & Schneider, J. (2022). Multiscale modelling of functionally graded porous beams: Buckling and vibration analyses. Engineering Structures, 266, 114568.
Chen, D., Rezaei, S., Rosendahl, P. L., Xu, B. X., & Schneider, J. (2022). Multiscale modelling of functionally graded porous beams: Buckling and vibration analyses. Engineering Structures, 266, 114568.
Chen, B., Cheng, Y., Zhang, W., & Gu, F. (2022). Investigations on improved Gini indices for bearing fault feature characterization and condition monitoring. Mechanical Systems and Signal Processing, 176, 109165.
Rojo Tanzi, B. N., Sobczyk, M., Iturrioz, I., & Lacidogna, G. (2023). Damage Evolution in Quasi-Brittle Materials: Experimental Analysis by AE and Numerical Simulation. Applied Sciences, 13(19), 10947.
Sun, T., Dong, S., Liu, Y., Huang, H., & Zhang, G. (2021). Physical investigation of transient dynamic behaviors of cavitation-induced vibration over a flexible hydrofoil. Physics of Fluids, 33(11).
Adjal, Y., Sereir, Z., Benzidane, R., & Bendada, A. (2021). Vibration of damaged bio-composite beams reinforced with random short Alfa fibers: Experimental and analytical investigations. Advances in Aircraft and Spacecraft Science, 8(2), 127.
Pietanza, L. D., Guaitella, O., Aquilanti, V., Armenise, I., Bogaerts, A., Capitelli, M., ... & Silva, T. (2021). Advances in non-equilibrium CO 2 plasma kinetics: a theoretical and experimental review. The European Physical Journal D, 75(9), 237.
Wu, D., Su, J., Chen, F., Shi, S., & Hua, H. (2023). Analytical study on vibration behaviors of pump-jet–shaft–submarine hull system in wavenumber–frequencydomain. Thin-Walled Structures, 187, 110718.
Liu, J., Li, X., Cao, J., Duan, Z., Ye, Q., & Feng, G. (2024). Geometric Parameter Effects on Bandgap Characteristics of Periodic Pile Barriers in Passive Vibration Isolation. Symmetry, 16(9), 1130.
Jiang, D., Yuan, C., Cheng, X., Wang, S., Li, H., & Yang, X. (2022). Study on the pyrolysis mechanism of unsaturated fatty acid: A combined density functional theory and experimental study. International Journal of Energy Research, 46(2), 2029-2040.
Takhchi, J., Ouisse, M., Sadoulet-Reboul, E., Bouhaddi, N., Gagliardini, L., Bornet, F., & Lakrad, F. (2024). A method to investigate mid and high-frequency vibration energy transfer paths using the irrotational intensity. Journal of Sound and Vibration, 572, 118160.
Vasconcelos, P. B., McQuellin, L. P., Krishna, T., & Neely, A. (2021). Experimental study of hypersonic fluid-structure interactions on an inclined clamped-free-clamped-free compliant panel. In ASCEND 2021 (p. 4232).
Ussher, E., Aloisio, A., Pasca, D. P., Hansen, S. L., & Tomasi, R. (2024). Effect of partition walls on the vibration serviceability of cross-laminated timber floors. Journal of Building Engineering, 95, 110001.
