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The libration limits of the elastic pendulum

 

作者: D. M. Davidović,   B. A. Aničin,   V. M. Babović,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 3  

页码: 338-342

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18245

 

出版商: American Association of Physics Teachers

 

关键词: ELASTICITY;EQUATIONS OF MOTION;HAMILTONIAN FUNCTION;HARMONIC OSCILLATORS;PENDULUMS;RESONANCE;TRAJECTORIES;03.20

 

数据来源: AIP

 

摘要:

The motion of the elastic pendulum is ruled by coupling between the pendulum mode and the harmonic oscillator mode. The bob of the pendulum executes trajectories in a domain of the vertical plane, the shape and size of which are set by the initial conditions and the total energy of the pendulum. The limits of this libration, in exact resonance, are studied using parabolic coordinates. Other Hamiltonians, with similar interaction terms, exhibit similar libration limits.

 

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