Abstract
The investigated mechanical system may be considered to be a set of weakly connected nonlinear oscillators subjected to the action of autonomous forces of various kind (e.g., dissipative forces) and periodic perturbations. Two algorithms are proposed for the derivation of approximate general solution of their equations of motion in the neighborhood of the equilibrium state or periodic motion which are valid over considerable time intervals. Both algorithms are based on the concept of group transformation which affect frequencies.
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