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Structures vibration have
different origins

 

Wind exited
structure

a) wind and vortex
b) earthquake
c) walking of pedestrians on a bridge or footbridge
d) machine excitation..
 

At a given wind speed vortex are generating around the structure. When the critical wind speed is obtained the structure is a subject to resonance phenomenon. The intensity of the phenomenon is bigger when the structures damping is small.

 

 

CASE OF A CIRCULAR SECTION

 

Image Vortex downstream of cylinder leads to high vibration
when the frequency of the vortex is near one of the
frequency modes of the cylinder.
Image

There is a generation of alternative area in pressure or under pressure..
in the crosswind direction. As a result the cylinder starts vibrating in the crosswind direction.

Image
Image

example of a vortex downstream of a cylinder.

 

CASE OF A BRIDGE BEAM

Image
Image
Vortex downstream of a bridge


bridge under resonance

PROPOSED SOLUTIONS

A structure is vibrating when the energy resulting of from the vortex cannot be absorbed by the structural damping of the structure. Two solutions are possible to avoid resonance :

  • avoid the vortex by adding special devices to break them
  • to increase the structural damping by adding dampers

FIRST SOLUTION :

Adding a set of helical strakes on a stack
rodell.jpgAvantages
The helical strakes are breaking the vortex . This solution could be adopted on cylinder structure if the Scruton number is bigger than 8.
In some rare cases they provide the most economical solution.

Disavantages
Double the wind load on the upper 13 of the stack, increasing stack weight significantly.
Nearly always more expensive than a vibration damper.
Complex geometry make fabrication difficult.
Can interfere with other attachments ( ie.ladders,platforms, etc.).
Foundation and Anchor Bolts usually increase in size.
Do not work in the case of interfering stacks.
Some codes do not allow their use for Scruton Numbers< 8 (which cover most stacks with vibration issues).
Conclusion
Only of interest for small stack with small diameters. In all other cases a solution with a damper proves to be more economical.

SECOND SOLUTION :

Installing a vibration Damper
imgm4a.jpgA vibration damper absorbs the energy due to the vibration
and to make the vibration phenomena disappear

There is no universal damper to solve all vibration problems. Case by case taking into account local conditions (acceleration, amplitude, frequency, space.) will advise you of a given type of damper. dampers are used to suppress horizontal or vertical vibrations. Torsion vibration problems may be solved by the coupling of two or more vertical dampers.

Placing a damper is an elegant modern solution, which has no disadvantage. This solution is always cheaper than the solution with strakes, except on rare occasions when the stack is small and with a small diameter.

Different types of damper could be used. There is no universal damper :each one has its advantages and disadvantages. On the following pagesyou can see different types of dampers.On bridges, the phenomenon ismore complicated than on cylindrical slender structures and horizontaldampers, vertical dampers and sometimes rotation dampers could berequested.

 

 
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