Advanced Modal Analysis Technique for Structures with Non-Uniform Mass Distribution

Rusalin Lucian Paun; Gilbert Rainer Gillich; Mitsinjo Randrianarisoa

doi:10.24193/subbeng.2025.2

Autori

Rusalin Lucian Paun Ph.D. Stud., Babeș-Bolyai University, Doctor-al School of Engineering, P-ta Traian Vuia 1–4, 320085 Reșița, Romania, rusalin.paun@ubbcluj.ro https://orcid.org/0009-0007-9267-3008
Gilbert Rainer Gillich Babeș-Bolyai University, Doctoral School of Engineering, P-ta Traian Vuia 1–4, 320085 Reșița, Romania. *Corresponding author: gilbert.gillich@ubbcluj.ro https://orcid.org/0000-0003-4962-2567
Mitsinjo Randrianarisoa Institut Supérieur de Technologie d’Antananarivo, Antananarivo 101, Madagascar, ramitsinjo@yahoo.fr https://orcid.org/0009-0007-0467-4562

DOI:

https://doi.org/10.24193/subbeng.2025.2

Cuvinte cheie:

Non-uniform mass distribution, Frequency estimation technique, Modal analysis, Analytical method, Experiment

Rezumat

This paper presents a study of how the natural frequencies of bending vibration modes change for a double-clamped beam with a concentrated mass added to the beam mid-span. We compare the beam’s response under different loads using a contrived analytical relation and experimental results. The results show that we can estimate a small variation in mass distribution and that the frequency estimation method, especially developed by the authors to capture slight structural, is effective.

Referințe

1 Tianlong Z., Dapeng S., Zhuo W., Peng Z., Shiming W., Xiaoyu D., Vibration-based structural damage detection via phase-based motion estimation using convolutional neural networks, Mechanical Systems and Signal Processing, 178, 2022, Art. ID 109320.

2 Radeș M., Vibrații mecanice, Editura Printech, 2008

3 Bratu P., Vibrațiile sistemelor elastice, Editura Tehnică, București, 2000.

4 Praisach Z., Gillich G.R., Birdeanu D.E., Considerations on natural frequency changes in damaged cantilever beams using FEM, International Conference on Engineering Mechanics, Structures, Engineering Geology, International Conference on Geography and Geology - Proceedings, 2010, pp. 214-219.

5 Gillich G.R., Praisach Z.I., Damage-patterns based method to locate discontinuities in beams, Proceedings of SPIE - The International Society for Optical Engineering, 8695, 2013.

6 Silva J.M.M., Maia N.M.M., Modal Analysis and Testing, NATO Science Series E 363, Springer, 1999.

7 Gillich, G.R., Minda, P.F., Praisach, Z.-I., Minda, A.A., Natural frequencies of damaged beams - a new approach, Romanian Journal of Acoustics and Vibration, 9(2), 2012, pp. 101-108.

8 Brown D.L., R.J. Allemang, A.W. Phillips, Forty years of use and abuse of impact testing: a practical guide to making good FRF measurements, in: J. De Clerck (Ed.), Experimental Techniques, Rotating Machinery, and Acoustics, 8, 2015, pp. 221–241.

9 Wei Y., Dong Y., Huang X., Zhang Z., A stepped frequency sweeping method for nonlinearity measurement of microresonators, Sensors, 16(10), 2016, Art ID 1700.

10 Van der Auweraer H., Vanherck P., Sas P., Snoeys R., Accurate modal analysis measurements with programmed sine wave excitation, Mechanical Systems and Signal Processing, 1(3), 1987, pp. 301–313.

11 Friswell M.I., Penny J.E.T., Stepped sine testing using recursive estimation, Mechanical Systems and Signal Processing, 7(6), 1993, pp. 477–491.

12 Maia N.M.M., Silva J.M.M., Modal analysis identification techniques, Philos. Trans. R. Soc. A, 359(1778), 2001, pp. 29–40.

13 Hamat C.O., Paun RL., Gillich, GR., Iterative Frequency Excitation Technique for Accurate Modal Analysis, Acoustics and Vibration of Mechanical Structures—AVMS-2025, Springer Proceedings in Physics, 345, 2025, pp. 320-330.

14 Gillich G.R., Praisach Z.I., Iancu V., Furdui H., Negru I., Natural Frequency Changes due to Severe Corrosion in Metallic Structures, Strojniški vestnik - Journal of Mechanical Engineering, 61(12), 2015, pp. 721-730.