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PEC00025 - INTRODUCTION TO VIBRATION THEORY

Binder

Prof. Marcelo Maia Rocha, PPGEC/UFRGS

Introduction

1. Computational resources

2. Introduction to Python language

Parte I - Single degree of freedom systems

3. The Laplace transform

4. Free vibration in time domain

5. Forced vibration in time domain

6. Numerical integration: finite differences and Duhamel method

7. The Fourier Transform

8. Vibration analysis in frequency domain

9. First test (P1a) (P1b) (P1c) (P1d) (P1e)

Parte II - Multiple degrees of freedom and continuous systems

10. From single to many degrees of freedom

11. Free vibration of multi degree of freedom systems

12. Forced vibration of multi degree of freedom systems

13. Modal superposition: examples of application

14. Continuous systems: vibration of beams

15. Continuous systems: vibration of plates

16. Second test (P2a) (P2b) (P2c) (P2d)

Parte III - Fundamental principles and numerical integration

17. Hamilton's principle

18. Lagrange equation and applications

19. The Rayleigh-Ritz method

20. Integration of equilibrium equation im matrix form

21. Vibration problems showcase - part I

22. Vibration problems showcase - part II

23. Third test (P3)

24. Retake test

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Introduction to Vibration Theory

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