Liquid Free Vibration Analysis in a Circular Cylindrical Rigid Cavity Using the H-P Finite Element Method

Abstract eng:
A new hierarchical finite element is developed to analyze the free vibration of a fluid in a rigid cylindrical cavity. It is a bi-hierarchical four nodes quadrilateral element with three degrees of freedom (three displacements) by node. The specificity of this element is a double increase of the hierarchical mode number independently according to both axial and radial directions. The first advantage is that the solution is accurate for high ratio dimensions cavities. The second advantage is the possibility of using only one element to idealize the fluid. The third advantage is that the pressure and the velocity potential are not considered as unknowns, only the displacements describe the fluid behavior. Through the comparison results, this element gives good results accuracy with simple idealization for a fluid in a rigid cylindrical cavity.

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