Theoretical backgrounds as well as the application of numerical methods in structural analysis are in the focus. With the VV/DV, the stiffness of a structure as well as its action is mapped into a linear system of equations and demonstrated as the basis of numerical methods in structural analysis. The necessary extension of numerics up to commercial software application is treated in more detail on the basis of the equilibrium on the deformed system. Important guidelines for handling structural analysis programs are derived from this, which prepares for requirements in practice. This includes dealing with time-dependent loading, which causes the structure to vibrate. With the help of modal analysis, statements can be made in most applications about the dynamics of the supporting structures as well as about necessary measures. However, the approximate nature and limitations of linear vibration theory are also discussed on the basis of nonlinear influences.
- Displacement method (VV) and angle of rotation method (DV) according to I. order theory
- Load cases in VV/DV
- Application of commercial software in structural analysis
- Coupling of load cases and super combination, enveloping internal force curves
- Guidelines for the preparation of verifiable structural analysis
- Control of numerical results
- DV according to theory II. Order
- Approach of imperfections
- Static stability analysis, critical load, determinant observation
- Vibration problems in structures: Serviceability/Supportability
- Fourier analysis of time-dependent loading
- Dynamic excitation of structures by wind and earthquakes
- Linear vibration with multiple degrees of freedom, modal analysis
- Application of commercial software for modal analysis
- Forced vibration by machines, high/low tuning of structures
- Causes and treatment of nonlinear vibration
Lecture material will be made available in the Moodle workroom BMSD-SD2.
The course is intended for students in the 4th semester of the bachelor's program in Bauingenieurwesen (civil engineering).