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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(4):405-417; doi:10.1093/qjmam/18.4.405
© 1965 by Oxford University Press
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PERIODIC MOTION OF A SIMPLE PENDULUM WITH PERIODIC DISTURBANCE{dagger}

R. A. STRUBLE and J. A. MARLIN

( North Carolina State of the University of North Carolina Raleigh )

Several theorems on the existance of oscillatory and rotary periodie motions of a simple pendulum with periodio distrubance are proved. These theorems are very general and include subharmonio and ultraharmonic solutions as well as harmonic solutions and cover the cases of large disturbance as well as small. For oscillatory periodic motions, two methods of astimating the amplitudes of the oscillations are considered. One of these methods is of the perturbational type for small disturbance, whereas, the other is applicable to a wide class of motions both perturbational and nonperturbational in nature.


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