Abstract
The analytical expressions of mass and stiffness matrices for a triangular finite element with piecewise linear basis functions are presented for the lateral sloshing of the liquid in axisymmetric tanks, for a circumferential wave number m=1, antisymmetric. Finite element numerical results of the eigenvalue problem for the free vibration of liquid-filled axisymmetric tanks are compared favorably with previous numerical and experimental results, and therein a good agreement is achieved.
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