Forced vibration characteristics study of a two-beam system coupled by an internal adjustable nonlinear connector

This work proposed a form of internal adjustable nonlinear connector that is used to couple the double-beam system. Employing the internal adjustable nonlinear connector as the basis, the model for analyzing the kinetic energy of vibration in the double-beam system coupled through the internal adjustable nonlinear connector has been developed and calculated its vibration kinetic energy responses by using the Galerkin truncation method (GTM). The effectiveness of the double-beam system coupled by the internal adjustable nonlinear connector is first investigated. On this basis, the impact and feasibility of the internal adjustable nonlinear connector on controlling vibration kinetic energy responses are discussed. From the numerical analysis, the effective working region of the internal adjustable nonlinear connector is determined. Furthermore, it can be found that the intricate dynamic behavior of the double-beam system appears at appropriate installation lengths of the internal adjustable nonlinear connector, in which the vibration energy transfer in the quasi-periodic state is characterized by a targeted energy transfer. There are differences in the effectiveness of the internal adjustable nonlinear connectors in controlling the vibration kinetic energy response at different excitation frequencies. Magnitudes of vibration kinetic energy can be efficiently regulated by adjusting the lengths at which the internal adjustable nonlinear connector is installed.