Coupled Responses of Partially Liquid-Filled Container with Multielastic Annular Baffles under Lateral Excitations
Publication: Journal of Aerospace Engineering
Volume 31, Issue 6
Abstract
The coupled responses of partially liquid-filled containers equipped with multielastic baffles subjected to lateral excitations have been investigated. The liquid domain has been divided into some subdomains. The analytical solutions of the velocity potential of the subdomains are obtained using the separation variable method. The wet modes of the multi baffles are then presented based on the dry-modal functions. Finally, the coupled modes are obtained by expressing the free surface equations, the continuity conditions, and the coupled vibration equations in the form of Fourier–Bessel series. The orthogonality among the natural modes of the coupled system has been proved. The dynamic response equations of the coupled system are established. The formulae of the coupled responses are derived. The effect of the baffle parameters on the coupled responses are discussed in detail. With the help of the MATLAB optimization toolbox, the present method can be used for the optimization of the baffled container subjected to seismic excitations.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The financial supports from National Natural Science Foundation of China (Grant Nos. 11702117, 11172123), the Jiangsu Natural Science Fund Project (BK20160482), and the Natural Science Fund (16KJB130001) for colleges and universities in Jiangsu Province are greatly appreciated.
References
Akyildiz, H., H. N. Ünal, and H. Aksoy. 2013. “An experimental investigation of the effects of the ring baffles on liquid sloshing in a rigid cylindrical tank.” Ocean Eng. 59 (1): 190–197. https://doi.org/10.1016/j.oceaneng.2012.12.018.
Amabili, M., and M. K. Kwak. 1999. “Vibration of circular plates on fluid surface effect of surface waves.” J. Sound Vib. 226 (3): 407–424. https://doi.org/10.1006/jsvi.1998.2304.
Askari, E., K. H. Jeong, and M. Amabili. 2013. “Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface.” J. Sound Vib. 332 (12): 3064–3085. https://doi.org/10.1016/j.jsv.2013.01.007.
Bauer, H. F. 1995. “Coupled frequencies of a liquid in a circular cylindrical container with elastic liquid surface cover.” J. Sound Vib. 180 (5): 689–704. https://doi.org/10.1006/jsvi.1995.0109.
Belakroum, R., M. Kadja, T. H. Mai, and C. Maalouf. 2010. “An efficient passive technique for reducing sloshing in rectangular tanks partially filled with liquid.” Mech. Res. Commun. 37 (3): 341–346. https://doi.org/10.1016/j.mechrescom.2010.02.003.
Biswal, K. C., and S. K. Bhattacharyya. 2010. “Dynamic response of structure coupled with liquid sloshing in a laminated composite cylindrical tank with baffle.” Finite Elem. Anal. Des. 46 (11): 966–981. https://doi.org/10.1016/j.finel.2010.07.001.
Cheung, Y. K., and D. Zhou. 2002. “Hydroelastic vibration of a circular container bottom plate using the Galerkin method.” J. Fluids Struct. 16 (4): 561–580. https://doi.org/10.1006/jfls.2001.0430.
Eswaran, M., U. K. Saha, and D. Maity. 2009. “Effect of baffles on a partially filled cubic tank: Numerical simulation and experimental validation.” Comput. Struct. 87 (3–4): 198–205. https://doi.org/10.1016/j.compstruc.2008.10.008.
Hashemi, S., M. Saadatpour, and M. Kianoush. 2013. “Dynamic behavior of flexible rectangular fluid containers.” Thin-Walled Struct. 66 (3): 23–38. https://doi.org/10.1016/j.tws.2013.02.001.
Hasheminejad, S. M., and M. Aghabeigi. 2012. “Sloshing characteristics in half-full horizontal elliptical tanks with vertical baffles.” Appl. Math. Model. 36 (1): 57–71. https://doi.org/10.1016/j.apm.2011.02.026.
Hwang, S. C., J. C. Park, H. Gotoh, A. Khayyer, and K. J. Kang. 2016. “Numerical simulations of sloshing flows with elastic baffles by using a particle-based fluid structure interaction analysis method.” Ocean Eng. 118 (1): 227–241. https://doi.org/10.1016/j.oceaneng.2016.04.006.
Liao, C. Y., Y. C. Wu, C. Y. Chang, and C. C. Ma. 2017. “Theoretical analysis based on fundamental functions of thin plate and experimental measurement for vibration characteristics of a plate coupled with liquid.” J. Sound Vib. 394 (1): 545–574. https://doi.org/10.1016/j.jsv.2017.01.023.
Noorian, M. A., R. D. Firouz-Abadi, and H. Haddadpour. 2012. “A reduced order model for liquid sloshing in tanks with flexible baffles using boundary element method.” Int. J. Numer. Methods Eng. 89 (13): 1652–1664. https://doi.org/10.1002/nme.3304.
Stephens, D. G., and H. F. Scholl. 1967. Effectiveness of flexible and rigid ring baffles for damping liquid oscillations in large scale cylindrical tanks. Springfield, VA: National Aeronautics and Space Administration.
Valentín, D., A. Presas, E. Egusquiza, and C. Valero. 2014. “Experimental study on the added mass and damping of a disk submerged in a partially fluid-filled tank with small radial confinement.” J. Fluids Struct. 50 (1): 1–17. https://doi.org/10.1016/j.jfluidstructs.2014.06.006.
Wang, J. D., D. Zhou, and W. Q. Liu. 2012. “Study on coupled vibration characteristics of a cylindrical container with multiple elastic annular baffles.” Sci. China Technol. Sci. 55 (12): 3292–3301. https://doi.org/10.1007/s11431-012-5033-0.
Information & Authors
Information
Published In
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jan 17, 2018
Accepted: May 7, 2018
Published online: Aug 13, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 13, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.