Cylindrical Reservoir with Walls of Constant Thickness (surface)

Cylindrical Reservoir with Walls of Constant Thickness

The reservoir undergoes the pressure of liquid, as shown on the picture. The bottom of reservoir is embedded into an absolutely rigid foundation.

Cylindrical Reservoir with Walls of Constant Thickness

In most cases in practice the thickness of reservoir wall h is small compared to both the radius R, and the depth of the reservoir d.
Taking into consideration the fact that the bottom of the reservoir does not experience any deformations, it is feasible to model the reservoir as the cylindrical wall whose bottom base is clamped.

Cylindrical Reservoir with Walls of Constant Thickness, the finite element model with applied loads and restraints

The finite element model with applied loads and restraints

Input data and analytical solution can be viewed here.

After carrying out calculation with the help of AutoFEM, the following results are obtained:

Table 1.Parameters of finite element mesh

Finite Element Type	Number of Nodes	Number of Finite Elements
linear triangle	5166	10000

Table 2.Result "Displacement, magnitude"*

Numerical Solution Displacement w*, m	Analytical Solution Displacement w, m	Error δ = 100%* \|w* - w\| / \|w\|
6.1472E-007	6.1366E-007	0.17

Cylindrical Reservoir with Walls of Constant Thickness, Result "Displacement, magnitude"

*The results of numerical tests depend on the finite element mesh and may differ slightly from those given in the table.