Vibration Attenuation by Passive Mechanical Networks: Achievable Performance Limitations and Hybrid Optimization

2015 Fiscal Year Final Research Report

• Project/Area Number: 24560541
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering
• Research Institution: Niigata University
• Principal Investigator: Kanno Masaaki 新潟大学, 自然科学系, 准教授 (80554261)
• Research Collaborator: Smith Malcolm C.
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: 受動的システム / 制振制御 / 達成可能性能 / 国際研究者交流 / イギリス

Outline of Final Research Achievements

This research project is concerned with analysis of the best achievable performance level of vibration attenuation by means of passive mechanical networks, with the use of the inerter, a recently invented passive mechanical element, in mind. It has been shown that the inerter may improve the performance when measured in terms of the H2 norm or H-infinity norm but that the improvement can be marginal for a system with a soft spring. Also, it is shown that the inerter may be beneficial when there is a constraint on the travel of the vibration absorption part. An algebraic method is developed that tunes system parameters in order to optimize the H-infinity performance. Moreover, the notion of `average damping ratio' is introduced, and it is shown that the quantity can algebraically be characterized, which further leads to an approach that minimizes the H2 performance under a constraint on the average damping ratio.

Free Research Field

システム制御理論