DYNAMIC RESPONSE ANALYSIS OF PRE-TWISTED BEAMS UNDER HARMONIC LOADING

Sadiq Emad  Sadiq; Orhan Sabah  Abdullah; Amina Hmoud Alikhan; Luay S.  Al-Ansari; Ameen  Topa; Mujtaba A.  Flayyih

doi:10.30572/2018/KJE/170134

Authors

Sadiq Emad Sadiq Department of Aeronautical Technical Engineering, Technical Engineering College of Najaf, Al-Furat Al-Awsat Technical University, Najaf, Iraq
Orhan Sabah Abdullah Mechanical Engineering Department, University of Technology, Baghdad, Iraq
Amina Hmoud Alikhan Mechanical Engineering Department, Faculty of Engineering, Wasit University, Iraq
Luay S. Al-Ansari Mechanical Engineering Department, Faculty of Engineering, University of Kufa, Iraq
Ameen Topa Department of Maritime Technology, Faculty of Ocean Engineering Technology, Universiti Malaysia Terengganu, Malaysia
Mujtaba A. Flayyih Prosthetics and Orthotics Engineering Department, College of Engineering and Technologies, Al-Mustaqbal University, Hillah, 51001, Iraq

DOI:

https://doi.org/10.30572/2018/KJE/170134

Keywords:

dynamic response, force vibration, damping ratio, pre-twisting beam, finite elements model

Abstract

The behavior of a non-prismatic beam under static and dynamic loads depends on the density distribution and geometry of the beam along its length. An essential type is a pre-twisting beam. In the current study, the dynamic response of a pre-twisted beam vibrated freely and forced under a harmonic force was investigated by establishing finite element modeling via ANSYS software. Beam length and twist angle were considered as pre-twist parameters. Beam length varying from 300 mm to 1000 mm and twist angle ranging from 0 to 360° with incremented 45^o. Modal analysis and then harmonic response were implemented to calculate the natural frequency, total deflection and equivalent stress, and the damping ratio variation with pre-twisting beam parameters. The model was validated against previous studies, showing perfect agreement. The obtained results show that the first natural frequency increases when the twisting angle rises till (180^{o °}) and then remains constant. Notably, the influence of the beam length on the harmonic response reduces when the twisting angle is greater than 180^o. Similarly, the deflection of harmonic response increases when the frequency ratio is approximately unity. Finally, the influence of the length of the beam and twisting angle on the stress appears when the twisting angle is smaller than 180^o

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References

Al-Ansari Luay S., Al-Hajjar Ali M. H., A. Husam Jawad, 2018. Calculating the natural frequency of cantilever tapered beam using classical Rayleigh, modified Rayleigh and finite element methods. International Journal of Engineering & Technology 7, 4866–4872.

Alansari, L., Jebur, M.A., Alansari, L.S., 2022. Simulation of Static Transverse Deflection for Non-Prismatic Beams. NeuroQuantology 20, 10728–10735. https://doi.org/10.14704/nq.2022.20.10.NQ551038

Alansari, L., Zainy, H.Z., Aljanabi, M., 2019. Calculating the natural frequency of hollow stepped cantilever beam.

Al-Raheem, S.K., Zainy, H.Z., Almawash, A.D., Alansari, L.S., Mohammed Ali, S.W., 2024. Static deflection of pre-twisted beam subjected to transverse load. Results in Engineering 21. https://doi.org/10.1016/j.rineng.2024.101953 DOI: https://doi.org/10.1016/j.rineng.2024.101953

Al-Saffar, A., Alansari, L., Alkhatat, A., Al-Saffar, A.A., Diwan, A.A., Al-Ansari, L.S., 2020. Experimental and Artificial Neural Network modeling of Natural Frequency of Stepped Cantilever shaft, Journal of Mechanical Engineering Research and Developments.

Baziyar Hamzehkhani, M., Zare, A., Gholami, M., Gorji Azandariani, M., 2024. Analysis of bending vibrations of a three-layered pre-twisted sandwich beam with an exact dynamic stiffness matrix. Composites Part C: Open Access 14, 100473. https://doi.org/10.1016/J.JCOMC.2024.100473 DOI: https://doi.org/10.1016/j.jcomc.2024.100473

Chen, G., Zeng, X., Liu, X., Rui, X., 2020. Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs. Appl Math Model 87, 152–170. https://doi.org/10.1016/j.apm.2020.05.023 DOI: https://doi.org/10.1016/j.apm.2020.05.023

Diwan, A.A., Al-Ansari, L.S., Al-Saffar, A.A., Al-Anssari, Q.S., 2022. Experimental and theoretical investigation of static deflection and natural frequency of stepped cantilever beam. Australian Journal of Mechanical Engineering 20, 303–315. https://doi.org/10.1080/14484846.2019.1704494 DOI: https://doi.org/10.1080/14484846.2019.1704494

Farghaly, S.H., El-Sayed, T.A., 2016. Exact free vibration of multi-step Timoshenko beam system with several attachments. Mech Syst Signal Process 72–73, 525–546. https://doi.org/10.1016/j.ymssp.2015.11.025 DOI: https://doi.org/10.1016/j.ymssp.2015.11.025

Hashim, W.M., Alansari, L.S., Aljanabi, M., Raheem, H.M., 2022. Investigating Static Deflection of Non-Prismatic Axially Functionally Graded Beam. Material Design & Processing Communications 2022, 1–12. https://doi.org/10.1155/2022/7436024 DOI: https://doi.org/10.1155/2022/7436024

Hassib, Md.A., Islam, Md.R., Karim, Md.R., Hasan, Md.S., Hossain, K.R., 2024. RESEARCH PROGRESS OF 4D PRINTING TECHNOLOGY. Kufa Journal of Engineering 15, 107–133. https://doi.org/10.30572/2018/KJE/150307 DOI: https://doi.org/10.30572/2018/KJE/150307

Hoskoti, L., Misra, A., Sucheendran, M.M., 2021. Modal analysis of a rotating twisted and tapered Rayleigh beam. Archive of Applied Mechanics 91, 2535–2567. https://doi.org/10.1007/s00419-021-01902-8 DOI: https://doi.org/10.1007/s00419-021-01902-8

Hossain, Md.I., Khan, Md.S., Khan, I.K., Hossain, K.R., He, Y., Wang, X., 2024. TECHNOLOGY OF ADDITIVE MANUFACTURING: A COMPREHENSIVE REVIEW. Kufa Journal of Engineering 15, 108–146. https://doi.org/10.30572/2018/kje/150108 DOI: https://doi.org/10.30572/2018/kje/150108

Hu, W., Xu, M., Zhang, F., Xiao, C., Deng, Z., 2022. Dynamic analysis on flexible hub-beam with step-variable cross-section. Mech Syst Signal Process 180, 109423. https://doi.org/10.1016/j.ymssp.2022.109423 DOI: https://doi.org/10.1016/j.ymssp.2022.109423

Hu, Y., Zhao, Y., Wang, N., Chen, X., 2020. Dynamic analysis of varying speed rotating pretwisted structures using refined beam theories. Int J Solids Struct 185–186, 292–310. https://doi.org/10.1016/J.IJSOLSTR.2019.08.008 DOI: https://doi.org/10.1016/j.ijsolstr.2019.08.008

Khakalo, S., Niiranen, J., 2023. Structural buckling analysis of pre-twisted strips. Eng Struct 295, 116787. https://doi.org/10.1016/J.ENGSTRUCT.2023.116787 DOI: https://doi.org/10.1016/j.engstruct.2023.116787

Khalsan Al-Raheem, S., Alansari, L., n.d. Investigation of Static Deflection in Internal Stepped Cantilever Beam.

Majid Jasim, Z., Jawad Abdulsamad, H., 2025. Investigation of Free Vibration Behavior for Composite Sandwich Beams with a Composite Honeycomb Core. Kufa Journal of Engineering 16, 177–199. https://doi.org/10.30572/2018/KJE/160111 DOI: https://doi.org/10.30572/2018/KJE/160111

Migliaccio, G., Ruta, G., 2021. The influence of an initial twisting on tapered beams undergoing large displacements. Meccanica 56, 1831–1845. https://doi.org/10.1007/s11012-021-01334-2 DOI: https://doi.org/10.1007/s11012-021-01334-2

Ramaswamy, M., Stolarska, M.A., Stolarski, H.K., 2023. A modified buckling analysis of slender pretwisted bars. Int J Solids Struct 285, 112537. https://doi.org/10.1016/J.IJSOLSTR.2023.112537 DOI: https://doi.org/10.1016/j.ijsolstr.2023.112537

Sadiq, E.S., Zuhair Zainy, H., Mohammed Muneer, R., S. Al-Ansari, L., 2025. FREE VIBRATION ANALYSIS IN INNOVATIVE 3D PRINTING SANDWICH PANAELS FOR AIRCRAFT STRUCTURE. Kufa Journal of Engineering 16, 265–282. https://doi.org/10.30572/2018/KJE/160116 DOI: https://doi.org/10.30572/2018/KJE/160116

Sadiq, S.E., Abada, H.H., Al-Baidhani, H., Flayyih, M.A., Bakhy, S.H., Kazimierczuk, M.K., Jweeg, M.J., 2025. Theoretical Investigation of Forced Vibration of an Aircraft Sandwich Panel Structure Under Transient Load. Mathematics 13, 914. https://doi.org/10.3390/math13060914 DOI: https://doi.org/10.3390/math13060914

Sadiq, S.E., Bakhy, S.H., Jweeg, M.J., 2021. OPTIMUM VIBRATION CHARACTERISTICS FOR HONEY COMB SANDWICH PANEL USED IN AIRCRAFT STRUCTURE, Journal of Engineering Science and Technology.

Sadiq, S.E., Jweeg, M.J., Bakhy, S.H., 2020. The Effects of Honeycomb Parameters on Transient Response of an Aircraft Sandwich Panel Structure, in: IOP Conference Series: Materials Science and Engineering. IOP Publishing Ltd. https://doi.org/10.1088/1757-899X/928/2/022126 DOI: https://doi.org/10.1088/1757-899X/928/2/022126

Shukur, Z.M., Hamad, R.F., Ali, Y.K., Al-Ansari, L.S., Al-Karaishi, M.H., 2023. Investigating the Effect of Applying Uniform Distributed Load on the Deflection of Simply Supported Axial - Functionally Graded Beam. Journal of Aerospace Technology and Management 15. https://doi.org/10.1590/jatm.v15.1315 DOI: https://doi.org/10.1590/jatm.v15.1315

Shukur, Z.M., Neamah, R.A., Abdulsamad, H.J., Al-Ansari, L.S., Wittayapiyanon, S., 2024. CALCULATING THE NATURAL FREQUENCY OF PRE-TWISTED BEAM. Journal of Engineering and Sustainable Development 28, 1–16. https://doi.org/10.31272/jeasd.28.1.1 DOI: https://doi.org/10.31272/jeasd.28.1.1

Tang, J., Wang, G., Wu, G., Miao, Y., Han, C., Rui, X., 2022. Research on vibration characteristics of aircraft based on MSTMM, in: 1st International Conference on Mechanical System Dynamics (ICMSD 2022). Institution of Engineering and Technology, pp. 526–531. https://doi.org/10.1049/icp.2022.1803 DOI: https://doi.org/10.1049/icp.2022.1803

Wadi, K.J., Yadeem, J.M., Mustafa khazaal, S., Al-Ansari, L.S., Abdulsamad, H.J., 2022. Static deflection calculation for axially FG cantilever beam under uniformly distributed and transverse tip loads. Results in Engineering 14, 100395. https://doi.org/10.1016/j.rineng.2022.100395 DOI: https://doi.org/10.1016/j.rineng.2022.100395

Zeng, J., Zhao, C., Ma, H., Wen, B., 2020. Dynamic modeling and coupling characteristics of rotating inclined beams with twisted-shape sections. Frontiers of Mechanical Engineering 15, 374–389. https://doi.org/10.1007/s11465-019-0580-8 DOI: https://doi.org/10.1007/s11465-019-0580-8