behiii/PEC00025

Introduction to Vibration Theory

PEC00025 - INTRODUCTION TO VIBRATION THEORY

Prof. Marcelo Maia Rocha, PPGEC/UFRGS

Introduction

1. (02/03 - 2a.) Computational resources

• GitHub tutorial
• Markdown tutorial
• Markdown quick reference
• Jupyter Notebooks tutorial
• Brief introduction to LaTeX equations
• Reference for math symbols in LaTeX
• Online notebooks compiler (NBViewer)

2. (04/03 - 4a.) Introduction to Python language

• Basic Python tutorial
• Online Python3 terminal
• Multivariate Random Processes with Python (MRPy class)
• In depth Python 3 documentation

Parte I - Single degree of freedom systems

3. (09/03 - 2a.) The Laplace transform

4. (11/03 - 4a.) Free vibration in time domain

5. (16/03 - 2a.) Forced vibration in time domain

6. (18/03 - 4a.) Numerical integration: finite differences and Duhamel method

7. (23/03 - 2a.) The Fourier Transform

8. (25/03 - 4a.) Vibration analysis frequency domain

9. (30/03 - 2a.) First test (P1)

Parte II - Multiple degrees of freedom and continuous systems

10. (01/04 - 4a.) From single to many degrees of freedom

11. (06/04 - 2a.) Free vibration of multi degree of freedom systems

12. (08/04 - 4a.) Forced vibration of multi degree of freedom systems

13. (13/04 - 2a.) Modal superposition: examples of application

14. (15/04 - 4a.) Continuous systems: vibration of beams

15. (22/04 - 4a.) Continuous systems: vibration of plates

16. (27/04 - 2a.) Second test (P2)

Parte III - Fundamental principles and numerical integration

17. (29/04 - 4a.) Hamilton's principle

18. (04/05 - 2a.) Lagrange equation and applications

19. (06/05 - 4a.) The Rayleigh-Ritz method

20. (11/05 - 2a.) Integration of equilibrium equation im matrix form

21. (13/05 - 4a.) Vibration problems showcase - part I

22. (18/05 - 2a.) Vibration problems showcase - part II

23. (20/05 - 4a.) Third test (P3)

24. (25/05 - 2a.) Retake test