12. Natural frequency
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Fundamentals of Engineering Structural Dynamics with Python
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Statics versus Dynamics
1. Introduction and course overview
2. Our approach to Python
Support and Lecture Q&A (Please read!)
3. Getting started with Jupyter Notebooks
4. Static versus dynamic analysis
5. Introducing inertia
6. Dynamic response and inertia
Free vibration of single degree of freedom systems
7. Section overview
8. Lumped mass analysis
9. The spring mass damper model
10. The equation of motion
11. Undamped free vibration
3
12. Natural frequency
13. Damped free vibration
14. Critically damped and over-damped systems
15. Under-damped systems
16. Damped natural frequency
17. Logarithmic decrement
Notebook - Worked Example #1.zip
18. Worked Example #1
Notebook - Worked Example #2.zip
19. Worked Example #2
Mid-course check-in
Harmonic Excitation
20. Section overview
21. Harmonic forcing
22. Solving the equation of motion
23. Characterising the steady-state response
3
Notebook - Dynamic Magnification Factor.zip
24. Dynamic magnification factor and resonance
Notebook - Worked Example #3.zip
25A. Worked Example #3 - Part A
25B. Worked Example #3 - Part B
25C. Worked Example #3 - Part C
General Dynamic Excitation
26. Section overview
27. General dynamic loading and feedback
28. The Piecewise Exact Method - concept
3
Notebook - Piecewise Exact Method - development.zip
29. The Piecewise Exact Method - development
6
Notebook - Piecewise Exact Method - implementation.zip
30. Implementing the Piecewise Exact Method
Notebook - Force segmentation.zip
31. Force segmentation
Notebook - Time discretisation.zip
32. Time discretisation
33. Course wrap up & Certificate of Completion