A nonlinear oscillator analog of rigid body dynamics |
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| Authors: | John L Junkins Ira D Jacobson Jeffrey N Blanton |
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| Institution: | (1) Dept. of Aerospace Engineering and Engineering Physics, Univ. of Virginia, Charlottesville, Va., U.S.A.;(2) Research Laboratories for the Engineering Sciences, Univ. of Virginia, Charlottesville, Va., U.S.A. |
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| Abstract: | 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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