ON THE ANALYTICAL METHODS APPROXIMATING THE TIME PERIOD OF THE NONLINEAR PHYSICAL PENDULUM

Authors

  • Zsolt Szabó

Abstract

This paper gives a survey on the computation of the time period of the nonlinear physical pendulum. The analytical methods, based on the third-order normal forms and on Krylov´s asymptotic technique are compared to each other. It is shown that these procedures can yield the same result. Though in case of Krylov´s technique, it depends on the power series expansion of the angular eigenfrequency. Finally, the analytical formulas are compared to the results of numerical computations.

Keywords:

nonlinear dynamics, third-order normal forms, asymptotic, technique

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How to Cite

Szabó, Z. “ON THE ANALYTICAL METHODS APPROXIMATING THE TIME PERIOD OF THE NONLINEAR PHYSICAL PENDULUM”, Periodica Polytechnica Mechanical Engineering, 48(1), pp. 73–82, 2004.

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