Term \(h\) is the thickness of the cross-section and \(R\) is the radius of the middle surface of the cylinder and both are in meters (\(m\)).

Result Comparison

The rotational force is validated by comparing the displacement \(u_r\) in meters \(m\) and Cauchy stresses \(\sigma_{zz}\) in \(N/m^2\) obtained from SimScale against the reference results obtained from [HPLA100] is given below:

Case

Quantity

HPLA-100

SimScale

Error [%]

A

\(u_r(r\) = 0.0195 \(m)\)

2.9424e-13

2.939e-13

-0.109

A

\(u_r(r\) = 0.0205 \(m)\)

2.8801e-13

2.877e-13

-0.113

A

\(\sigma_{zz}(r\) = 0.0195 \(m)\)

0.99488

0.990826

-0.407

A

\(\sigma_{zz}(r\) = 0.0205 \(m)\)

0.92631

0.931388

+0.548

B

\(u_r(r\) = 0.0195 \(m)\)

2.9424e-13

2.942E-13

-0.001%

B

\(u_r(r\) = 0.0205 \(m)\)

2.8801e-13

2.880E-13

-0.001%

B

\(\sigma_{zz}(r\) = 0.0195 \(m)\)

0.99488

0.995056

+0.018

B

\(\sigma_{zz}(r\) = 0.0205 \(m)\)

0.92631

0.926469

+0.017

Table 3: Stress and displacement comparison

The stress experienced by the cylinder under the rotational force can be seen below:

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