Dynamic behavior and vibration control of a coupled slender-beam model equipped with internal local distributed coupling nonlinearities
摘要
To promote the engineering application of distributed nonlinearities, this research proposes and manufactures novel internal local distributed coupling nonlinearities based on metal ropes. A dynamic behavior prediction model of a coupled slender-beam model equipped with internal local distributed coupling nonlinearities is established. Then, the vibration-suppression characteristics and potential influence of distributed nonlinear-coupling oscillator units on the coupled slender-beam model are discussed, revealing the working mechanism of the internal local distributed coupling nonlinearities. Eventually, the vibration-suppression experiment is carried out. After theoretical and experimental analyses, it can be concluded that the operating states of the internal local distributed coupling nonlinearities are divided into multi-line-spectrum linear/nonlinear states. Introducing internal local distributed coupling nonlinearities can suppress broadband vibration in the coupled slender-beam model. Increasing the number of distributions within a reasonable range maximizes the improvement in vibration-suppression performance of the coupled slender-beam model. Additionally, the equivalent stiffness of the proposed rope-type distributed nonlinear coupling oscillator unit exhibits cubic nonlinearity. The vibration suppression experiment confirms the correctness of the theoretical analysis. Overall, introducing internal local distributed coupling nonlinearities into the coupled slender-beam model can suppress its vibration and change its dynamic behavior. Adjusting the distribution of the internal local distributed coupling nonlinearities enables control of their operating characteristics. The proposal of the rope-type internal local distributed coupling nonlinearities has provided the experimental basis for their engineering application.