A dynamical system having multiple degrees of freedom and under parametric excitation is governed by a system of ordinary differential equations with periodic coefficients. In this paper a first-approximation analysis is carried out and criteria for instability are derived explicitly.
On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom
C. S. Hsu
Department of Mechanical Engineering, University of California, Berkeley, Calif.
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Hsu, C. S. (September 1, 1963). "On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom." ASME. J. Appl. Mech. September 1963; 30(3): 367–372. https://doi.org/10.1115/1.3636563
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