blmcghee
hi,
1. First of all, I think vortex shedding is not the only reason for the vibrations of the traffic poles. Assuming laminar flow (low wind speed) to form a vortex shedding, the vibrations would only be in the in-plane of the pole. However the vibrations for a traffic pole are both in-plane and out-of-plane. Also, a good source of understanding the vibrations of the traffic lights is, NR412 Fatigue-Resistant Design of Cantilevered Signal, Sign and Light Supports Report. It is stated here that vortex shedding is not even a factor affecting or initiating the vibrations. The large amplitude vibrations should be self-exciting, so galloping phenomenon would be the main reason. Also,trucks and cars passing through has an effect on the vibrations. The effect of turbulence is not clear yet but there are some recent papers that may be helpful. The research is mostly on wind-induced vibrations of flexible-/tapered cylinders.
2. The natural frequencies of the structures are pretty low around 1Hz. However the forcing is random, so the post is being loaded with a variety of frequencies. Therefore, unless you have a parametric or an autoparametric damper, you may not need to force it at the natural frequency as it would not simulate the natural conditions.
3. to kverspoor
what did you mean by torsional natural frequency? The tip of the light pole is oscillating in an elliptic or circular shapes (looking from through the cylinder). However, the researchers are mostly concentrating on an uncoupled problem, meaning the in-plane and out-of-plane vibrations are independent of each other. This is an assumption to simplify the problem actually.
4. Also a square pole again may not be feasible because of the flow pattern difference between a cylinder and a square. Also, the natural frequencies may not be same, so for the determination of the frequencies it would be better to test it on the real structure itself.
5. Finally, actually a different manufacturing process may help to increase the fatigue life (compressive residual stress formation), retrofitting the structure (such as assuming that the vortex shedding is the problem, changing the roughness or adding bumps to get rid of laminar flow) , adding a damper or even drilling some holes through the cylinder and putting tubes so that there will not be any tension or compression on the structure (galloping).
I hope I could give some ideas.
Thanks..