The Nonlinear Phenomenon in Modal Analysis of Liquid Tank

Abstract:

The one-room and four-room tanks were modeled by finite element method to deeply research on the liquid-structure coupling problem in tanks. As the different constraint conditions, the analysis cases were formulated based on the orthogonal test method, to study the system's modality. The results show that, the frequency of one-room tank decreases with the increase of filling liquid when vertically fixed. When the one-room tank is fixed like a cantilever, there also is a descend trend of frequency, but in the case of liquid filling ratio 0.20, the frequency is abnormally increased with a minor rate 0.86%. Due to the different location, when filling ratio is 0.4, the frequency of cantilever system is 10.88% higher than that of vertical system. As for the four-room tank, the frequency is also nonlinear, and the lowest frequency is 40.47Hz, which is 82.81% lower than that of vertical system in the same filling ratio.

• Periodical: Advanced Materials Research (Volume 852)
• Pages: 588-592
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.852.588
• Online since: January 2014
• Authors: Yu Chao Song, Chao Ming Huang
• Keywords: Filling Liquid, Nonlinearity, Tank, Vibration Frequency

References

[1] Chizhong Wang, Guoxiong Wu. A brief summary of finite element method applications to nonlinear wave-structure interactions. Journal of Marine Science Application, Vol. 10(2010), p: 127-138.

DOI: 10.1007/s11804-011-1052-7

[2] Wang Wei, Li Junfeng, Wang Tianshu. Modal analysis of liquid sloshing with different contact line boundary conditions using FEM. Journal of Sound and Vibration, Vol. 317(2008), pp.739-759.

DOI: 10.1016/j.jsv.2008.03.070

[3] S.A. Mavrakos, I.K. Chatjigeorgiou. Second-order diffraction by a bottom-seated compound cylinder. Journal of Fluids and Structures, Vol. 22(2006), pp.463-492.

DOI: 10.1016/j.jfluidstructs.2005.12.001

[4] Edoardo Bucchignan；Fulvio Stella，Fabio Paglia. A partition method for the solution of a coupled liquid-structure interaction problem . Applied Numerical Mathematics, Vol. 51(2004), pp.463-475.

DOI: 10.1016/j.apnum.2004.06.004

[5] Yuanjun He, Xingrui Ma, Benli Wang. Dynamic response of micro-gravity liquid-structure coupling system under horizontal excitation. Journal of Xi'An Jiao Tong University, Vol. 40(2006), p: 1083-1087.

[6] Mingjun Pang, Jinjia Wei, Bo Yu, Yasuo Kawaguchi. Numerical investigation on turbulence and bubbles distribution in bubbly flow under normal gravity and microgravity conditions. Microgravity Science Technology, Vol. 22(2010), p: 283-294.

DOI: 10.1007/s12217-010-9180-2

[7] Baozeng Yue. Nonlinear coupled dynamics of liquid-filled spherical container in microgravity. Applied Mathematics and Mechanics (English Edition), Vol29(2008), p: 1085-1092.

DOI: 10.1007/s10483-008-0812-y