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 useful to analyze a model of an earthquake event: Accelerograms excite the model on its supports. The equation of motion is as follows:
| M | Mass matrix |
| D | Damping matrix |
| K | Static stiffness matrix |
| ε | Emissivity |
| b | Distance to the next stiffener |
| b2 | Distance to the next stiffener to the other side |
| h | Real deflection of the surface |
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:
| fctd,pl | Design value of concrete axial tensile strength |
| εca (t, t0) | Autogenous shrinkage strain |
| Rd | Design value of resistance |
| ü | Absolute acceleration |
| Absolute velocity | |
| u | Absolute displacement |
| t | Time |