**6. Conclusion**

610 Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology

1.2 [10<sup>1</sup> ]

(kgf-cm)2sec

0.3

0

0.6

0.9

a) on front cylinder

*t* **second** 

0 10.0 20.0 30.0 40.0 50.0 60.0

1.5 [10<sup>1</sup> ]

(kgf-cm)2sec

0.5

0

1.0

1.0 2.0 3.0 4.0 5.0

bending moment

1.0 2.0 3.0 4.0 5.0

bending moment

*f/f0*

*f/f0*

b) on back cylinder

*t* **second** 

Fig. 13. Comparisons of orbit, power spectrum and wavelet pattern of vertical bending

0 10.0 20.0 30.0 40.0 50.0 60.0

moment in case of *s*=2 and T=3.45 s

4.0 3.0 2.0 1.0

4.0 3.0 2.0 1.0

*a* 

*a* 

In this paper, the wavelet transform was applied to the analysis of time histories of vibration of circular cylinders with the vortex induced vibration. From the results, the summary is as follows:

