Campbell diagram

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Analytical Campbell Diagram for a Simple Rotor

A Campbell diagram plot represents a system's response spectrum as a function of its oscillation regime. It is named for Wilfred Campbell, who introduced the concept.[1][2] It is also called an interference diagram.[3]

In rotordynamics

In

gyroscopic effects or variable hydrodynamic conditions in fluid bearings
. It might represent the following cases:

Campbell Diagram of a steam turbine. Analysis shows that there are well-damped critical speed at lower speed range. Another critical speed at mode 4 is observed at 7810 rpm (130 Hz) in dangerous vicinity of nominal shaft speed, but it has 30% damping - enough to safely ignore it.
  1. Analytically computed values of
    eigenfrequencies as a function of the shaft's rotation speed. This case is also called "whirl speed map".[4]
    Such a chart can be used in turbine design.
  2. Experimentally measured vibration response spectrum as a function of the shaft's rotation speed (
    eigenfrequencies
    .

In acoustical engineering

In acoustical engineering, the Campbell diagram would represent the pressure spectrum waterfall plot vs the machine's shaft rotation speed (sometimes also called 3D noise map).

References

  1. ^ Campbell, Wilfred (1924). "Protection of Steam Turbine Disk Wheels from Axial Vibration". Transactions of the ASME: 31–160.
  2. doi:10.1115/1.1807412. Archived from the original
    on 2013-02-23. Retrieved 2010-07-27.
  3. ^ Nelson, F. C. (2007). "Rotor dynamics without equations" (PDF). International Journal of COMADEM. 10 (3): 2. Archived from the original (PDF) on 2015-09-24. Retrieved 2012-10-01.
  4. ^ Logan, Earl Jr (2003-05-01). Handbook of Turbomachinery (Mechanical Engineering, No. 158) (2 ed.). CRC Press. .