The stability of motion of a nonlinear neo-Hookean rubber spring pendulum under a special type of support oscillation is studied. The small swing motion is described by a Mathieu-Hill equation, corresponding stability curves for which are generated in a relevant parametric plane with a stability criterion obtained earlier. Autoparametric resonance in the special case of linearized motions is found to occur, as usual. [S0021-8936(00)00801-1]
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