Nonlinear modal interaction between longitudinal and bending vibrations of a beam resonator under periodic thermal loading

Abstract

The paper investigates the nonlinear modal interaction of longitudinal and bending vibrations of a beam resonator under periodic thermal loading. The mode of parametric oscillations is investigated under conditions of internal multiple resonance between some flexural and longitudinal forms of free oscillations of the resonator. The possibility of gener- ation in the system of the longitudinal-bending mode was found, the frequency of the slow envelope of which essentially depends on the parameter of the internal frequency detuning, which is direct y related to the magnitude of external disturbances subject to high-precision measurement.