EARTH QUAKE ANALYSIS OF mdof LINEAR SYSTEMS(RHA and RSA))

EARTH QUAKE ANALYSIS OF mdof LINEAR SYSTEMS(RHA and RSA))

1. 4 . Earthquake Analysis of MDOF Linear Systems (RHA and RSA)

2. outline Structural dynamics for MDOF systems Modal response history analysis (RHA) Modal response spectrum analysis (RSA) Numerical example

3. structural dynamics - MDOF

4. (contd.)

5. (contd.)

6. Modal Analysis Modal transformation

7. Modal Analysis (Contd.) Interpretation of modal superposition

8. (contd.) Response history analysis

9. Response history analysis (contd.)

10. Response history analysis (contd.)

11. Response history analysis (contd.)

12. Modal Analysis Response spectrum analysis

13. Response spectrum analysis (contd.)

14. combination rules (contd.)

15. Chopra p492-514 (reading assignment)

16. Numerical example (EBCS 8-1995) Equivalent static analysis & Dynamic response spectrum analysis

17. Examples of equivalent static analysis

18. Equivalent static analysis

19. Equivalent static analysis (contd.)

20. Examples of dynamic analysis:

21. the eigenvalue problem for frame 1

22. frequency and mode shapes: Frame 1

23. mass distribution vectors: Frame 1

24. Equivalent modal forces: F n = S n A n Frame 1

25. static lateral forces from all modes: Frame 1

26. the eigenvalue problem for frame 2

27. frequency and mode shapes Irregular elevation

28. mass distribution vectors: Irregular elevation

29. Equivalent modal forces: F n = S n A n Irregular elevation

30. static lateral forces from all modes: Irregular elevation

31. Assignment 2 Redo the previous numerical Example according to the new EBCS 8 Code provisions and compare the results