analyzing frequency of conical (∆ shaped) tanks

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( rb) total height of liquid (h), angle of inclination of the tanks(θi), as variables. numerical result of the free vibration was obtained for the cases of conical tanks with θi=0 and compared with existing experiments and other predicated results, showing a good agreement between the experiment and numerical results.