Experimental Modal Analysis of Non-uniform Mild Steel Beam Using Laser Vibrometer
Article Sidebar
Main Article Content
This investigation represents an experimental modal analysis of a non-uniform mild steel beam under clamped-free (C-F) boundary conditions. Non-uniform beams are commonly found in engineering applications, and their modal characteristics play a crucial role in design and performance optimization. The experimental modal analysis of a non-uniform clamped-free beam is performed with a laser vibrometer excited with impact hammer excitation. We describe the experimental setup, data acquisition, and signal processing techniques used to extract natural frequencies, mode shapes, and damping ratios. The excited wave signals are converted into the frequency domain and time domain by using FFT (Fast Fourier Transformation). The simulation is performed using COMSOL Multiphysics software 5.6 and ANSYS Workbench 18.1. Thus, the experimental natural frequency and mode shapes of the non-uniform beam are compared with simulation results. A comparison of results obtained experimentally shows a good validation with the results obtained from simulation. The obtained results be used as a reference for future investigation in this domain.
Downloads
References
Zhang, K., Xie, J., Hao, S., Zhang, Q., Feng, J.: Influence of Electrostatic Force Nonlinearity on the Sensitivity Performance of a Tapered Beam Micro-Gyroscope Based on Frequency Modulation. Micromachines. Jan 14;14(1):211.
Ma Y, Wang B. Analytical Wave Propagation Method for Free and Forced Transverse Vibration Analysis of a System of Multiple Elastically Connected Beams. International Journal of Structural Stability and Dynamics. 13, 2350170 (2023).
Raja, V., Umapathy, M., Uma, G., Usharani, R.: Performance enhanced piezoelectric rotational energy harvester using reversed exponentially tapered multi-mode structure for autonomous sensor systems. Journal of Sound and Vibration 3(544),117429 (2023).
Sheykhi, M., Eskandari, A., Ghafari, D., Arpanahi, R.A., Mohammadi, B., Hashemi, S.H.: Investigation of fluid viscosity and density on vibration of nano beam submerged in fluid considering nonlocal elasticity theory. Alexandria Engineering Journal 15(65), 607-14 (2023).
Gökhan, G.M.: Free Vibration Analysis of Thin-Walled Beams Using Two-Phase Local–Nonlocal Constitutive Model. Journal of Vibration and Acoustics 1:145(3),031009 (2023).
Türker, H.T., Cuma, Y.C., Calim, F.F.: An Efficient Approach for Free Vibration Behaviour of Non-Uniform and Non-Homogeneous Helices. Iranian Journal of Science and Technology, Transactions of Civil Engineering 21(2), (2023).
Mehrparvar, M., Majak, J., Karjust, K., Arda, M.: Free vibration analysis of tapered Timoshenko beam with higher order Haar wavelet method. Proceedings of the Estonian Academy of Sciences 71(1),77-83 (2022).
Moukhliss, A., Rahmouni, A., Bouksour, O., Benamar, R.: N-dof discrete model to investigate free vibrations of cracked tapered beams and resting on winkler elastic foundations. International Journal on Technical and Physical Problems of Engineering 14(1), 1-7 (2022).
Moukhliss, A., Rahmouni, A., Bouksour, O., Benamar, R.: Using the discrete model for the processing of natural vibrations, tapered beams made of afg materials carrying masses at different spots. Materials Today: Proceedings 1(52), 8-21 (2022).
Hossain, M., Lellep, J.: Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series. Engineering Research Express 14(2), 025034 (2022).
Hantati, I., Adri, A., Fakhreddine H, Rifai S, Benamar, R.: Multimode analysis of geometrically nonlinear transverse free and forced vibrations of tapered beams. Shock and Vibration. (2022)
Lin, M.X., Deng, C.Y., Chen, C.O.: Free vibration analysis of non-uniform Bernoulli beam by using Laplace Adomian decomposition method. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236(13), 7068-78 (2022).
Wu, C.C.: Study on rigid-body motions and elastic vibrations of a free–free double-tapered beam carrying any number of concentrated elements. Journal of Vibration Engineering & Technologies 10(2), 541-58 (2022).
Zargarani, A., Nima, M. S.: Flexural–Torsional Free Vibration Analysis of a Double-Cantilever Structure. Journal of Vibration and Acoustics 144(3), 031001(2022).
Chandran, P.A., Kumar, C.P.S.: Vibration analysis of rotating pre-twisted curved blades under thermal environment. Int. J. Dynam. Control 11, 919–927 (2023).
Liu, M., Wei, J., Zhang, X., Cao, D.: Equivalent Nonlinear Beam Model for Static and Free Vibration Analysis of the Beamlike Truss. Journal of Vibration Engineering & Technologie 10:1-3 (2022).
Samantaray, A., Nayak, C.R., Rout, T.: Vibrational Analysis of Un-Symmetric Non-homogenous Beam Supported on Variable Substructure Subjected to Temperature Surrounding. J. Vib. Eng. Technol. 11, 1091–1100 (2023). https://doi.org/10.1007/s42417-022-00625-6
Yasar, P.A., Kahya, C.: Free vibration analysis of elastically restrained cantilever Timoshenko beam with attachments. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 29(3), 274-80 (2023).
Seçgin, A., Kara, M., Ferguson, N.: Discrete singular convolution–polynomial chaos expansion method for free vibration analysis of non-uniform uncertain beams. Journal of Vibration and Control 9(10),1165-75 (2022).
Du, Y., Cheng, P., Zhou, F.: Free vibration analysis of axial-loaded beams with variable cross sections and multiple concentrated elements. Journal of Vibration and Control. 17(18), 197-211 (2022).
Wang, D., Hao, Z., Chen, Y., Wiercigroch, M.: Response Analysis of a Rotating Tapered Beam. The proceedings oof international Conference on Applied Nonlinear Dynamics, Vibration and Control (ICANDVC2021) , 682-694, (2022).
This work is licensed under a Creative Commons Attribution 4.0 International License.
All articles published in our journal are licensed under CC-BY 4.0, which permits authors to retain copyright of their work. This license allows for unrestricted use, sharing, and reproduction of the articles, provided that proper credit is given to the original authors and the source.