Wave Approach in Vibration Analysis and Control of Complex Built-up Distributed Structures

该奖项的研究目标是开发复杂建筑框架结构的振动分析和控制方法。由于对机械结构更轻、更快的要求越来越高，人们对主动振动控制的兴趣越来越大——更轻、更快的结构更容易产生振动。由于结构复杂性的增加导致模型不确定性的增加以及模态截断不可避免的溢出问题，传统的模态振动方法在解决复杂的实际振动问题时受到了极大的挑战。本文提出了一种以波为中心的结构观，用于复杂实际建筑结构的振动分析与控制。本研究包括理论分析、计算机模拟和实验验证。交付成果包括平面和三维框架结构振动问题的精确封闭形式解；？积极支持吗?然后呢?积极联合?吸收入射振动波或将不需要的振动分流到不太重要的结构构件的设计策略；从减振的角度给出了复杂周期框架结构的设计准则。如果成功，这项研究的结果将为建筑框架结构的振动提供实用的解决方案，并弥合学术研究与现实世界问题的实际解决方案之间的差距。相关经验将被带回课堂，用于下一代土木和机械工程师的教学和培训。一门课程？振动分析与控制中的波动法？也将发展到接触当地工业的工程师。此外，本研究允许本科生和研究生直接参与。因此，这项研究不仅为复杂建筑结构的振动分析和控制提供了一种经济、方便和实用的方法，而且还为教育广泛的学生和工程师提供了一种工具，可以解决复杂实际结构中与抑制振动相关的困难。

The research objective of this award is to develop methods for vibration analysis and control of complex built-up frame structures. There has been an increasing interest in active vibration control due to the increasing demands for mechanical structures to be lighter and faster - lighter and faster structures are more prone to vibrations. The conventional modal vibration approach is greatly challenged when solving complex practical vibration problems due to the increased model uncertainty caused by the increased complexity of structures and the unavoidable spillover problems caused by modal truncation. In this study, a wave centered view of structures is proposed for vibration analysis and control of complex practical built-up structures. This research consists of theoretical analysis, computer simulation, and experimental verification. Deliverables include exact closed form solutions to vibration problems in planar and three-dimensional frame structures; ?active support? and ?active joint? design strategies for absorbing incoming vibration waves or shunting unwanted vibrations to less important structural members; and guidelines for designing complex periodical frame structures from vibration attenuation viewpoint. If successful, the results of this research will provide practical solutions to vibrations in built-up frame structures and bridge a gap between academic research and real solutions to real world problems. The related experience will be brought back to the classroom for teaching and training the next generation of civil and mechanical engineers. A course on ?Wave Approach in Vibration Analysis and Control? will also be developed to reach engineers from local industry. Furthermore, this research allows the direct participation of undergraduate and graduate students. Hence, this research not only develops a cost-effective, convenient, and practical approach in vibration analysis and control of complex built-up structures, but also provides a vehicle for educating a broad spectrum of students and engineers, in the difficulties associated with suppressing vibrations in complex practical structures.