Free Vibration Analysis of Steel-Concrete Pervious Beams
Received: 4 April 2023 | Revised: 22 April 2023 | Accepted: 24 April 2023 | Online: 4 May 2023
Corresponding author: Prashant Kumar
Abstract
This study investigated the free vibration analysis of steel-concrete porous beams with partial or complete shear interface using a finite-element model based on the cubic order beam theory. The present model assumes uniform porosity distribution along the beam thickness. It is assumed that the axial displacement will vary cubically along the thickness of the layer. The cubic order beam theory is implemented using a continuous C0 finite element containing three nodes and each node has eight degrees of freedom. Shear locking is eliminated in the present model by the numerical integration of the stiffness matrix. Comparing the present model with the published literature, it is found that the present model is robust in predicting the free vibration of the steel-concrete porous beam.
Keywords:
steel-concrete porous beams, finite element method, free vibration, porosity, partial shear interfaceDownloads
References
D. Mohammed and S. R. Al-Zaidee, "Deflection Reliability Analysis for Composite Steel Bridges," Engineering, Technology & Applied Science Research, vol. 12, no. 5, pp. 9155–9159, Oct. 2022. DOI: https://doi.org/10.48084/etasr.5146
K. Swaminathan, D. T. Naveenkumar, A. M. Zenkour, and E. Carrera, "Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review," Composite Structures, vol. 120, pp. 10–31, Feb. 2015. DOI: https://doi.org/10.1016/j.compstruct.2014.09.070
A. Yasunori, H. Sumio, and T. Kajita, "Elastic-plastic analysis of composite beams with incomplete interaction by finite element method," Computers and Structures, vol. 14, no. 5–6, pp. 453–462, 1981. DOI: https://doi.org/10.1016/0045-7949(81)90065-1
Q. Sun, N. Zhang, G. Yan, X. Zhu, X. Liu, and W. Li, "Exact Dynamic Characteristic Analysis of Steel-Concrete Composite Continuous Beams," Shock and Vibration, vol. 2021, 2021. DOI: https://doi.org/10.1155/2021/5577276
H. I. Yoon, I. S. Son, and S. J. Ahn, "Free vibration analysis of Euler-Bernoulli beam with double cracks," Journal of Mechanical Science and Technology, vol. 21, no. 3, pp. 476–485, 2007. DOI: https://doi.org/10.1007/BF02916309
Y. W. Kim, "Dynamic analysis of Timoshenko beam subjected to support motions," Journal of Mechanical Science and Technology, vol. 30, no. 9, pp. 4167–4176, 2016. DOI: https://doi.org/10.1007/s12206-016-0828-8
M. H. Yas and M. Heshmati, "Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load," Applied Mathematical Modelling, vol. 36, no. 4, pp. 1371–1394, 2012. DOI: https://doi.org/10.1016/j.apm.2011.08.037
Z. H. Dakhel and S. D. Mohammed, "Castellated Beams with Fiber-Reinforced Lightweight Concrete Deck Slab as a Modified Choice for Composite Steel-Concrete Beams Affected by Harmonic Load," Engineering, Technology & Applied Science Research, vol. 12, no. 4, pp. 8809–8816, Aug. 2022. DOI: https://doi.org/10.48084/etasr.4987
J. N. Reddy, "A Simple Higher-Order Theory for Laminated Composite Plates," Journal of Applied Mechanics, vol. 51, no. 4, pp. 745–752, Dec. 1984. DOI: https://doi.org/10.1115/1.3167719
B. S. Manjunatha and T. Kant, "New theories for symmetric/unsymmetric composite and sandwich beams with C0 finite elements," Composite Structures, vol. 23, no. 1, pp. 61–73, 1993. DOI: https://doi.org/10.1016/0263-8223(93)90075-2
K. G. Aktas and I. Esen, "State-Space Modeling and Active Vibration Control of Smart Flexible Cantilever Beam with the Use of Finite Element Method," Engineering, Technology & Applied Science Research, vol. 10, no. 6, pp. 6549–6556, Dec. 2020. DOI: https://doi.org/10.48084/etasr.3949
M. Heshmati and F. Daneshmand, "Vibration analysis of non-uniform porous beams with functionally graded porosity distribution," in Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, Aug. 2019, vol. 233, pp. 1678–1697. DOI: https://doi.org/10.1177/1464420718780902
M. Azadi, "Free and forced vibration analysis of FG beam considering temperature dependency of material properties," Journal of Mechanical Science and Technology, vol. 25, no. 1, pp. 69–80, 2011. DOI: https://doi.org/10.1007/s12206-010-1015-y
X. Shen, W. Chen, Y. Wu, and R. Xu, "Dynamic analysis of partial-interaction composite beams," Composites Science and Technology, vol. 71, no. 10, pp. 1286–1294, 2011. DOI: https://doi.org/10.1016/j.compscitech.2011.04.013
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