Nonlinear Modal Interaction between Longitudinal and Bending Vibrations of a Beam Resonator under Periodic Thermal Loading

The paper investigates the nonlinear modal interaction of longitudinal and flexural 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 the longitudinal-bending mode generation in the system has been found, the frequency of the slow envelope of which essentially depends on the parameter of the internal frequency detuning, which is directly related to the magnitude of external disturbances subject to high-precision measurement.