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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(1):124-128; doi:10.1093/qjmam/12.1.124
© 1959 by Oxford University Press
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THE SIMPLE PENDULUM UNDER PERIODIC DISTURBANCE

HAROLD JEFFREYS

( (St. John's College Cambridge) )

The motion of a pendulum with a periodic disturbance is examined. When higher powers of the displacement are retained there may be one or three periodic solutions according to the amplitude and period of the disturbing force. The elementary solution far from resonance corresponds to two different branches of the general solution, one of which ceasesto exist when the resonance is sufficiently close.


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