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
2.9430e-13
-0.020
A
\(u_r(r\) = 0.0205 \(m)\)
2.8801e-13 m
2.8763e-13
-0.132
A
\(\sigma_{zz}(r\) = 0.0195 \(m)\)
0.99488
0.990826
0.4078
A
\(\sigma_{zz}(r\) = 0.0205 \(m)\)
0.92631
0.931388
-0.548
B
\(u_r(r\) = 0.0195 \(m)\)
2.9424e-13
2.94195e-13
0.015
B
\(u_r(r\) = 0.0205 \(m)\)
2.8801e-13
2.87966e-13
0.015
B
\(\sigma_{zz}(r\) = 0.0195 \(m)\)
0.99488
1.00893
-1.412
B
\(\sigma_{zz}(r\) = 0.0205 \(m)\)
0.92631
0.914645
1.259
C
\(u_r(r\) = 0.0195 \(m)\)
2.9424e-13
2.94238e-13
0.001
C
\(u_r(r\) = 0.0205 \(m)\)
2.8801e-13
2.88006e-13
0.001
C
\(\sigma_{zz}(r\) = 0.0195 \(m)\)
0.99488
0.995077
-0.02
C
\(\sigma_{zz}(r\) = 0.0205 \(m)\)
0.92631
0.926488
-0.02
D
\(u_r(r\) = 0.0195 \(m)\)
2.9424e-13
2.942373-13
0.001
D
\(u_r(r\) = 0.0205 \(m)\)
2.8801e-13
2.88007e-13
0.001
D
\(\sigma_{zz}(r\) = 0.0195 \(m)\)
0.99488
0.994995
-0.012
D
\(\sigma_{zz}(r\) = 0.0205 \(m)\)
0.92631
0.926415
-0.011
Table 3: Stress and displacement comparison
The stress experienced by the cylinder under the rotational force can be seen below:
Figure 4: Stress visualization in the SimScale post-processor
This website uses cookies so that we can provide you with the best user experience possible. Cookie information is stored in your browser and performs functions such as recognising you when you return to our website and helping our team to understand which sections of the website you find most interesting and useful.
Strictly Necessary Cookies
Strictly Necessary Cookie should be enabled at all times so that we can save your preferences for cookie settings.
If you disable this cookie, we will not be able to save your preferences. This means that every time you visit this website you will need to enable or disable cookies again.