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Pendulum's rotational motion governed by a stochastic Mathieu equation

by: D. Yurchenko, A. Naess, P. Alevras
Probabilistic Engineering Mechanics, Vol. 31 (January 2013), pp. 12-18, doi:10.1016/j.probengmech.2012.10.004  Key: citeulike:11684391

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Abstract

This paper considers rotational motion of a nonlinear Mathieu equation with a narrow-band stochastic excitation. The path integration technique is utilized to obtain the joint probability density function of the response, which is used to construct domains of rotational motion in parameter space.


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