The Time History Analysis add-on allows for a dynamic structural analysis of external excitations, such as machine-induced vibrations, impact forces, explosions, or seismic loads. You can define various excitation functions in tables or as a function of time. The time history analysis is performed using the modal analysis or the linear implicit Newmark analysis.
The following analysis types are available for the time history analysis:
- Time History Analysis | Accelerogram
- Time History Analysis | Time Diagram
The user interface of the Time History Analysis add-on is adapted to the analysis type.
Time History Analysis of Accelerograms
The time history analysis of accelerograms (acceleration-time diagrams) is used to analyze a model with regard to an earthquake: Accelerograms excite the model on its supports. The equation of motion is as follows:
|
M |
Mass Matrix |
|
D |
Damping Matrix |
|
K |
Static stiffness matrix |
|
ü |
Absolute acceleration |
|
u˙ |
Absolute velocity |
|
u |
Absolute displacement |
|
üg |
Basic acceleration |
Time History Analysis of Time Diagrams
Using a time history analysis of time diagrams (transient or harmonic force-time diagrams), you can excite any point of the model in any direction. The equation of motion is as follows:
|
M |
Mass Matrix |
|
D |
Damping Matrix |
|
K |
Static stiffness matrix |
|
ü |
Absolute acceleration |
|
u˙ |
Absolute velocity |
|
u |
Absolute displacement |
|
p(t) |
External excitation |
