Numerical vibration analysis of a gantry with and without prestress
Case study Trussed Crane
Keywords:
Dynamic Analysis, Finite Element Method, Tower CraneAbstract
This work presents the dynamic analysis of an ascending crane using the Finite Element Method (MEF). The analysis of vibrations in this type of structure is of paramount importance, as it allows the verification of safety and stability throughout its useful life. The objective of the study is to verify the natural frequencies and the vibration modes of the structure through different simulations of a simplified model (2D). The approach is made in two case studies: crane with a) non-prestressed cables and b) prestressed cables. The methodology proposed the development of implementation in MATLAB and simulations in commercial software (ANSYS / Abaqus) that use MEF to solve modal problems. The results show that the vibration modes obtained in all simulations coincide with each other and that the frequencies obtained are very close, especially in the case of cables without prestressing, reaching errors below 0.05%. In the case of the crane with prestressed cables, the errors obtained are punctual and much higher in some frequencies, but despite this, the results are satisfactory, confirming the adequacy of the methodology proposed in the present study.
References
ANSYS Inc. (2007). Elements Reference ANSYS Release 11.0. Retrieved from http://www.ansys.com
ANSYS Inc. (2013). ANSYS Mechanical APDL Performance Guide (Vol. 15317).
Banerjee, J. R., & Kennedy, D. (1985). Response of a axially loaded Timoshenko beam to random loads. 101, 481”“487.
Carpinteri, A., Malvano, R., Manuello, A., & Piana, G. (2014). Fundamental frequency evolution in slender beams subjected to imposed axial displacements. Journal of Sound and Vibration, 333(11), 2390”“2403. https://doi.org/10.1016/j.jsv.2014.01.018
Carvalho, E. C., Gonçalves, P. B., Rega, G., & Del Prado, Z. J. G. N. (2013). Influence of axial loads on the nonplanar vibrations of cantilever beams. Shock and Vibration, 20(6), 1073”“1092. https://doi.org/10.3233/SAV-130823
Cruz, J. P., Valente, R. A. F., & Sousa, R. J. A. (2007). Metodo dos Elementos Finitos Tecnicas de Simulacao Numerica em Engenharia. 489.
Dassault systemes. (2013). 6.13 Documentation (Abaqus), 2013. In Abaqus User’s Guide.
Deng, X., Guo, Z., Jiang, A., & He, S. (2016). Research of Portal Crane Vibration Modal Analysis. 93(Ismems), 277”“282. https://doi.org/10.2991/ismems-16.2016.47
Foti, F., & Martinelli, L. (2018). Finite element modeling of cable galloping vibrations””Part I: Formulation of mechanical and aerodynamic co-rotational elements. Archive of Applied Mechanics, 88(5), 645”“670. https://doi.org/10.1007/s00419-017-1333-y
Fritzkowski, P. (2017). Transverse vibrations of a beam under an axial load: minimal model of a triangular frame. Archive of Applied Mechanics, 87(5), 881”“892. https://doi.org/10.1007/s00419-016-1156-2
Inman, D. J. (2008). Engineering Vibration - Inman D.J..pdf. Pearson Education, Inc., p. 668.
Ju, F., & Choo, Y. S. (2005). Dynamic Analysis of Tower Cranes. 131(1), 88”“96. https://doi.org/10.1061/(ASCE)0733-9399(2005)131
Kaloop, M. R., Sayed, M. A., Kim, D., & Kim, E. (2014). Movement identification model of port container crane based on structural health monitoring system. Structural Engineering and Mechanics, 50(1), 105”“119. https://doi.org/10.12989/sem.2014.50.1.105
Li-jeng, H., & Hong-jie, S. (2014). ScienceDirect Seismic Response Analysis of Tower Crane Using SAP2000. 79(1st ICM), 513”“522. https://doi.org/10.1016/j.proeng.2014.06.374
Masoud, Z. N., Nayfeh, A. H., & Rahman, E. M. A. (2001). Dynamics and Control of Cranes : A Review. 863”“908. https://doi.org/10.1177/107754603031852
Nayfeh, A. H., & Rahman, E. M. A. (2001). Nonlinear Dynamics of a Boom Crane. Journal of Vibration and Control, (7), 199”“220.
Ni, Y. Q., Ko, J. M., & Zheng, G. (2002). Dynamic analysis of large-diameter sagged cables taking into account flexural rigidity. Journal of Sound and Vibration, 257(2), 301”“319. https://doi.org/10.1006/jsvi.2002.5060
Petyt, M. (2010). Introduction to Finite Element Vibration Analysis (2nd ed.). Cambridge University Press.
Spak, K. S., Agnes, G. S., & Inman, D. J. (2015). Modeling vibration response and damping of cables and cabled structures. Journal of Sound and Vibration, 336, 240”“256. https://doi.org/10.1016/j.jsv.2014.10.009
Talic, E., Schirrer, A., Kozek, M., & Jakubek, S. (2015). Multi-objective parameter identification of Euler-Bernoulli beams under axial load. Journal of Sound and Vibration, 341, 86”“99. https://doi.org/10.1016/j.jsv.2014.12.012
Treyssède, F. (2018). Finite element modeling of temperature load effects on the vibration of local modes in multi-cable structures. Journal of Sound and Vibration, 413, 191”“204. https://doi.org/10.1016/j.jsv.2017.10.022
Yesilce, Y. (2012). Free Vibration Analysis of the Axial-Loaded Timoshenko Multiple-Step Beam Carrying Multiple Elastic-Supported Rigid Bars Çok Sayıda Elastik Mesnetli Rijit Çubuk Taşıyan Eksenel Yüklü Çok Kademeli Timoshenko KiriÅŸinin Serbest TitreÅŸim Analizi. 183”“197.
Zhang, W., & Liu, Y. (2015). Main Factor Sensitivity Analysis Based on Response Surface Model Updating of Port Crane Structure. Journal of Coastal Research, 73, 166”“172. https://doi.org/10.2112/si73-029.1
Downloads
Published
Issue
Section
License
Copyright (c) 2020 Revista Interdisciplinar de Pesquisa em Engenharia
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Given the public access policy of the journal, the use of the published texts is free, with the obligation of recognizing the original authorship and the first publication in this journal. The authors of the published contributions are entirely and exclusively responsible for their contents.
1. The authors authorize the publication of the article in this journal.
2. The authors guarantee that the contribution is original, and take full responsibility for its content in case of impugnation by third parties.
3. The authors guarantee that the contribution is not under evaluation in another journal.
4. The authors keep the copyright and convey to the journal the right of first publication, the work being licensed under a Creative Commons Attribution License-BY.
5. The authors are allowed and stimulated to publicize and distribute their work on-line after the publication in the journal.
6. The authors of the approved works authorize the journal to distribute their content, after publication, for reproduction in content indexes, virtual libraries and similars.
7. The editors reserve the right to make adjustments to the text and to adequate the article to the editorial rules of the journal.
