Comparison of the continuous model and the finite element model of the gantry crane carrying structure for modal analysis
Abstract
Introduction/purpose: To study the adequacy of applying numerical methods in the modal analysis of complex carrying structures of cranes.
Methods: Comparative application of the analytical method and the numerical method - FEM.
Results: Some comparative values of the modal parameters were obtained both analytically and numerically for the derived solution of a gantry crane carrying structure.
Conclusion: It is shown that the numerical method can give a reliable general quality estimate of the structural behaviour of a complex carrying structure from the aspect of modal analysis.
References
Alexandropoulo, A., Michaltsos, G. & Kounadis, А. 1986. The effect of longitudinal motion and other parameters on the bending eigenfrequencies of a simple frame. Journal of Sound and Vibration, 106(1), pp.153-159. Available at: https://doi.org/10.1016/S0022-460X(86)80179-1
Bathe, K-J. 2016. Finite Element Procedures. New Jersey: Prentice-Hall. ISBN: 978-0-9790049-0-2.
Ćorić, B., Ranković, S. & Salatić, R. 1998. Dinamika konstrukcija. Belgrade: University of Belgrade (in Serbian). ISBN: 8681019732 9788681019733.
Filippov, A.P. 1970. Vibration of deformable systems. Moscow: Mashinostroenie (in Russian).
Karanovsky, I.A. & Lebed, O.I. 2004. Formulas for Structural Dynamics: Tables, Graphs and Solutions, 1st Edition. New York: McGraw-Hill.
Krodkiewski, J.M. 2008. Mechanical vibration. Melbourne: University of Melbourne. ISBN: 0-7325-1536-X.
Lazarević, Ž. & Lazarević, B. 2018. Determining the dynamic characteristics of hydraulic excavators. Vojnotehnički glasnik/Military Technical Courier, 66(1), pp.41-62. Available at: https://doi.org/10.5937/vojtehg66-14400
-Mašinska industrija Niš - Fabrika dizalica. 1981. Projekat portalne dizalice nosivosti 10 t i raspona 20+4 m - PD-083. Niš, Serbia: Mašinska industrija Niš - Fabrika dizalica (in Serbian).
Milana, G., Banisoleiman, K. & Gonzalez, A. 2021. An investigation into the moving load problem for the lifting boom of a ship unloader. Engineering Structures, 234(art.number:111899), pp.1-20. Available at: https://doi.org/10.1016/j.engstruct.2021.111899
Oguamanam, D.C.D., Hansen, J.S. & Heppler, G.R. 2001. Dynamics of a three-dimensional overhead crane system. Journal of Sound and Vibration, 242(3), pp.411-426. Available at: https://doi.org/10.1006/jsvi.2000.3375
Ostrić, D. & Tošić, S. 2005. Dizalice. Belgrade: University of Belgrade, Faculty of Mechanical Engineering (in Serbian). ISBN: 978-86-7083-520-7.
Umar, S.U., Hamisu, M.T., Jamil, M.M. & Sa’ad, А. 2019. Dynamic responses of structures to moving bodies using combined finite element and analytical methods. Journal of Mechanical Design and Vibration, 7(1), pp.33-42. Available at: https://doi.org/10.12691/jmdv-7-1-5
Vasiljević, R. 2019. Comparative Modal Analysis of the Portals of a Type “H” and “X” Portal Cranes. IMK–14 Research & Development in Heavy Machinery, 25(1), pp.13-20. Available at: https://doi.org/10.5937/IMK1901013V
-Wolfram Research. Nd(a). FindRoot, Wolfram Language function, [online] Available at: https://reference.wolfram.com/language/ref/FindRoot.html. [Accessed: 6 june 2021].
-Wolfram Research. Nd(b) ProceduralProgramming, [online] Available at: https://reference.wolfram.com/language/guide/ProceduralProgramming.html. [Accessed: 18 October 2021].
Wu, J.J. 2008. Transverse and longitudinal vibrations of a frame structure due to a moving trolley and the hoisted object using moving finite element. International Journal of Mechanical Sciences, 50(4), pp.613-625. Available at: https://doi.org/10.1016/j.ijmecsci.2008.02.001
Zaimović-Uzunović, N. & Lemeš, S. 2002. Metod konačnih elemenata. Zenica, Bosnia and Herzegovina: Dom štampe (in Serbian). ISBN: 9958-42-079-1.
Zienkiewicz, О.С., Taylor, R.L. & Zhu, J.Z. 2005. The Finite Element Method: Its Basis and Fundamentals, Sixth Edition. Oxford, UK: Elsevier Butterworth-Heinemann. ISBN-13: 978-0-7506-6320-5.
Proposed Creative Commons Copyright Notices
Proposed Policy for Military Technical Courier (Journals That Offer Open Access)
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).