Oscillations of a pendulum with a periodically varying length and a model of swing
نویسنده
چکیده
Qualitative analysis of a pendulum with a periodically varying length is conducted. It is proved that there are two periodic solutions having a prescribed amplitude A(n and a period 1 which is an even multiple k of the excitation period. Stability analysis is carried out for the principal parametric oscillations (k"2). In this connection it is shown that such a pendulum cannot serve as a mathematical model of swing as it is generally considered. ( 1998 Elsevier Science Ltd. All rights reserved.
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