Summary
The equations of motion governing the free vibrations of the compound centrifugal pendulum are stated, and the linearized solution is given. A comparison is then made between the exact (numerical) solution of the non-linear equations of motion and the linearized solution. This comparison is in the form of the ratio of the natural frequencies and is presented graphically and tabularly.
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References
Levy, H. and E. A. Baggott, Numerical Solutions of Differential Equations, Dover Publications, Inc., New York, N.Y., 1950.
Porter, F. P., Centrifugal Pendulum Dynamic Damper, S. A. E. Evaluation of the effects of Torsional Vibration, War Engineering Board, 1945.
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Stephenson, R.R., Gaylord, E.W. Natural frequency of the compound centrifugal pendulum. Appl. sci. Res. 10, 180 (1961). https://doi.org/10.1007/BF00411911
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DOI: https://doi.org/10.1007/BF00411911