Modeling and flexural vibration analysis of a double-thin-plate coupling system connected by nonlinear elements

As one of the most common structural units, plates are broadly employed in various engineering fields. However, the vibration prediction model in most studies was built as the single-plate system, causing few studies to investigate the potential application of nonlinear coupling elements on the vibration control of the coupled plate system. Based on the above background, this work concentrates on the impact of nonlinear coupling elements on the vibration responses of the coupled plate system. A vibration prediction model for the double-thin-plate coupling system connected through nonlinear elements is established. Meanwhile, the improved Galerkin truncation method (IGTM) is proposed to quickly predict vibration responses of the double-thin-plate coupling system. Based on the correctness of numerical results gained by the IGTM, vibration responses of the double-thin-plate coupling system connected by nonlinear elements are deeply studied. According to numerical results, it can be found that complex responses of the double-thin-plate coupling system are motivated by nonlinear elements. Under complex responses, the vibration kinetic energy of the double-thin-plate coupling system presents the targeted energy transfer character. Adjusting parameters of nonlinear elements can effectively adjust the vibration energy and vibration behavior of the double-thin-plate coupling system. The variation of nonlinear force is the root reason for the appearance and disappearance of complex responses belonging to the double-thin-plate coupling system. The study of the parameter changes belonging to nonlinear elements provides a way for vibration control of the double-thin-plate coupling system.