Abstract
A pendulum is attached to one mass of a chain of amasses, connected by n linear springs. One of the masses is harmonically excited. The stability of the semi-trivial solutions, representing vibration of n masses without pendulum oscillation, is investigated in general. Using this approach, the occurrence of all autoparametric resonances can be determined. As an illustration, a two-mass subsystem with two degrees of freedom, where the pendulum is attached to the upper mass, is analysed.
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