Collaborative Research: Hybrid Control of Gear System Vibration with Time-Varying Dynamics via Piezo-Composite Array

康涅狄格大学、田纳西大学和田纳西州立大学的这一合作项目的研究目标是创造新的理论和潜在的变革性技术，以有效控制齿轮系统诱导的振动传播。在齿轮系统中，由于接触的齿数和齿的灵活性的运动变化而引起的齿啮合刚度的参数变化，导致了多音调振动。在这个项目中，我们计划开发一种多层混合控制方法，通过同时进行被动隔振和主动控制来实现参数时变齿轮系统动力学的多音调振动抑制。具体地说，我们将开发具有可调频率阻挡带的双周期伸缩耦合压电/复合材料支柱来阻止高频振动的传播，同时在支柱中使用压电换能器来实现基于Floket分解的双环自适应前馈/时变反馈控制策略，以提供对自激励振动的主动抑制。通过这些创新，新方法将严格解决齿轮系统振动控制中的主要挑战，例如广谱多音调振动、带有参数激励的时变动力学和非平稳响应。齿轮是许多能源、飞机、汽车和船舶/船舶系统的关键部件。如果成功，这项研究的成果不仅可以提高这些系统的耐用性、可靠性和效率，还可以改善人类的操作和生活环境。特别是，减少齿轮引起的振动和相关的噪音排放可以在风能开发中发挥关键作用。透过执行教育工作，督导主任会透过课堂教学、社区推广，以及让代表不足的学生和少数族裔学生参与顶峰计划，以传播研究结果，从而对劳动力培训作出重大贡献。

The research objective of this collaborative project by University of Connecticut, University of Tennessee and Tennessee State University is to create new theories and a potentially transformative technology to effectively control the gear system-induced vibration propagation. In gear systems, multi-tonal vibrations are induced as a result of parametric variations in tooth mesh stiffness caused by kinematic variations in the number of teeth in contact and tooth flexibility. In this project, we plan to develop a multi-layered, hybrid control methodology to enable multi-tonal vibration suppression of parametric time-varying gear system dynamics via simultaneous passive isolation and active control. Specifically, we will develop bi-periodic extension-twist coupled piezoelectric / composite struts with tunable frequency stop-bands to block high frequency vibration propagation, and in the meantime employ the piezoelectric transducers in the struts to realize a dual-loop adaptive feedforward / time-varying feedback control strategy based on Floquet decomposition that provides active suppression of self-exited vibrations. With these innovations, the new methodology will rigorously address the major challenges in gear system vibration control, e.g. wide spectrum multi-tonal vibrations, time-varying dynamics with parametric excitations, and non-stationary responses. Gears are critical components in many energy, aircraft, automobile, and marine/ship systems. If successful, the outcome of this research can lead to not only increased durability, reliability and efficiency of those systems, but also improved human operating and living environment. Particularly, reduction of gear-induced vibration and associated noise emissions can play a critical role in wind energy development. By carrying out the educational tasks, the PIs will disseminate the research findings through classroom teaching, community outreach, and involving under-represented and minority group students in capstone projects, thereby contributing significantly to workforce training.