Response of a parametrically excited system with quadratic and cubic nonlinearities.
Summary: An investigation is presented of the response of a three-degree-of-freedom system with quadratic and cubic nonlinearities under parametric excitations. We consider the problem of suppressing the vibration of a structure that is subjected to combined parametric excitation, where the vibration amplitudes resulting from such resonance cannot be controlled. The fixed points of the three equations are obtained, and their stability is determined. Numerical solutions are conducted to obtain the response of the three modes and their stability. We also examine the effects of different parameters on response and stability of the system.
scientific article; zbMATH DE number 1827815