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Liquid sloshing in a partially filled
container
first order stress analysis
10/29/2016
Don Blanchet
3B Associates
dwb3298@verizon.net
Goal
 To estimate the structural adequacy of
a fluid filled Delrin plastic container.
 The actual behavior of the fluid is not
a priority.
Analysis
 Solid / Fluid interaction requires the
use of FEA and CFD or a Multiphysics
analysis simulation code.
 The accurate use of these techniques
requires the skills of an expert analyst
and considerable software licensing
cost.
 A method using only FEA is
demonstrated for a first order analysis
by a design engineer.
Reference sloshing analysis : nonlinear
computational fluid dynamics
From Reference: fluid waves
Not necessary
For container
Stress analysis
Method – utilize FEA not CFD
 Assign material properties to the
pseudo “fluid”
– Density of water
– Very small elastic modulus
– 0.495 Poisson’s ratio incompressible
– No penetration surfaces between the
“fluid” and the container walls
– Expected behavior like Jello
Model test case
Delrin container
½ inch thick
15 x 15 x 10.5
Model
“fluid” ¾ full
Transparent container
1 G local gravity “fluid”
without container
Deformation -sagging block of Jello
Jello resonant frequencies
F1 = 5.0 hz
Jello resonant frequencies
F2 = 8.0 hz
Jello resonant frequencies
F3=9.0 hz
Sloshing frequency 11.2 hz
Sloshing frequency 12 hz
Worse case : Crash
loading 10G
Wave
Height
1 inch
Fixed at bosses
4 corners
Maximum Wall stress
2900 psi
Factor of safety = 5900/2900 = 2.03

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First order tank sloshing