Coexistence Phenomenon in Autoparametric Excitation of Two Degree of Freedom Systems
نویسنده
چکیده
Coexistence phenomenon refers to the absence of expected tongues of instability in parametrically excited systems. In this paper we obtain sufficient conditions for coexistence to occur in the generalized Ince equation: (1 + a1 cos t+ a2 cos 2t) v̈ +(b1 sin t+ b2 sin 2t) v̇ +(δ + c1 cos t+ c2 cos 2t) v = 0 The results are applied to the stability of motion of a nonlinear normal mode, the x-mode, in a class of conservative two degree of freedom systems.
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