Shafiee, A., Mahzoon, M., Askary, E. (2011). Fluid-structure Interaction Vibration Analysis of Vertical
Cylindrical Containers with Elastic Bottom Plate Made
of Functionally Graded Materials. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 4(1), 47-61.

Ali Akbar Shafiee; Mojtaba Mahzoon; Ehsan Askary. "Fluid-structure Interaction Vibration Analysis of Vertical
Cylindrical Containers with Elastic Bottom Plate Made
of Functionally Graded Materials". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 4, 1, 2011, 47-61.

Shafiee, A., Mahzoon, M., Askary, E. (2011). 'Fluid-structure Interaction Vibration Analysis of Vertical
Cylindrical Containers with Elastic Bottom Plate Made
of Functionally Graded Materials', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 4(1), pp. 47-61.

Shafiee, A., Mahzoon, M., Askary, E. Fluid-structure Interaction Vibration Analysis of Vertical
Cylindrical Containers with Elastic Bottom Plate Made
of Functionally Graded Materials. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2011; 4(1): 47-61.

Fluid-structure Interaction Vibration Analysis of Vertical
Cylindrical Containers with Elastic Bottom Plate Made
of Functionally Graded Materials

^{1}Master of Science, School of Mechanical Engineering, Shiraz University, Shiraz, Iran

^{2}Associate Professor, School of Mechanical Engineering, Shiraz University, Shiraz, Iran

^{3}Australian School of Advanced Medicine, Macquarie University, Sydney, Australia

Abstract

In the present paper a method is proposed to investigate the free vibration of a partially liquid-filled cylindrical tank. The mechanical properties of the container are assumed to change continuously along the thickness according to volume fraction Power-law, Sigmoid or Exponential distribution. The liquid is supposed to be incompressible and in viscid and its velocity potential is formulated by using Eigen function expansions. The interaction between the liquid and the plate was considered and the dynamic characteristics of the plate are extracted by using the Rayleigh–Ritz method. The results from the proposed method are in good agreement with experimental and numerical solutions available in the literature. A finite element analysis is also applied to check the validity of the results. Furthermore, the influence of various variables such as the number of nodal circles and diameters, volume fractions of functionally graded materials and liquid level on the dynamic behavior of the coupled system is investigated.

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