This test lets you check analysis results for a spring-mass system, in the context of a transient dynamic response case. You will use a 1D mesh. This test is used to validate the following attributes:
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Reference: Guide de validation des prologiciels de calcul de structures, AFNOR Technique, SFM, pp182-183 |
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SpecificationsGeometry Specifications
Analysis Specifications
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ResultsAnalytical SolutionThe natural frequencies are the roots of the following equation: The response at point D is given by: with imposed acceleration coefficient: and modal participated factor for a translational motion with u = 1.
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Mode |
Frequencies [Hz] |
Error [%] |
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Analytic solution |
Values |
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1 |
2.239 |
2.2399 |
0.038 |
2 |
6.275 |
6.2760 |
0.015 |
3 |
9.069 |
9.0690 |
0 |
Time [s] |
Displacement [mm] |
Error [%] |
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Analytic solution |
Values |
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0.02 |
2.7 |
2.69 |
0.25 |
0.04 |
42.6 |
42.77 |
0.40 |
0.05 |
104.1 |
104.32 |
0.21 |
0.06 |
215.8 |
216.18 |
0.18 |
0.08 |
681.3 |
682.16 |
0.13 |
0.1 |
1658 |
1659.71 |
0.10 |
To Perform the Test:
The Transient_response_spring_mass_system.CATAnalysis document presents a complete analysis of this case.
Proceed as follow:
Open the CATAnalysis document.
Compute the case and generate an image called Deformed mesh.