A Nonlinear Oscillator Analog of Rigid Body Dynamics

Details A Nonlinear Oscillator Analog of Rigid Body Dynamics A Nonlinear Oscillator Analog of Rigid Body Dynamics

Jun 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cemec...7..398j&link_type=abstract

Celestial Mechanics, Volume 7, Issue 4, pp.398-407

Computer Science

4

Scientific paper

A rigorously valid nonlinear oscillator analog of the torque-free rotational dynamics of a general rigid body is presented. The analog consists of threeuncoupled nonlinear oscillators, the motion of each being governed by a second order nonlinear ordinary differential equation of the Duffing type. The nonlinear oscillator analog and three associated phase planes, as established herein, provide a new basis for analysis and visualization of rigid body dynamics. The phase planes are particularly useful in providing complete visibility of the motion's limiting cases and stability properties.

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