Analyzing Frequency of Conical (∆ shaped) Tanks

Abstract

A finite element analysis is presented for sloshing and impulsive motion of liquid-filled conical tanks during lateral anti-symmetric excitation. The performed analyses led to the development of a number of charts which can be used to identify the natural frequency, the mode shapes of conical tanks for both fundamental and the cos(θ)-modes of vibration. Conical tank geometry was described with several parameters namely, bottom radius( R_b) total height of liquid (h), angle of inclination of the tanks(θ_i), as variables. Numerical result of the free vibration was obtained for the cases of conical tanks with θ_i=0 and compared with existing experiments and other predicated results, showing a good agreement between the experiment and numerical results.