Modeling of restoring force characteristics of rubber bearings under multi-axial loading

多轴载荷下橡胶支座恢复力特性建模

• 批准号: 10450173
• 负责人: FUJINO Yozo
• 金额: $ 9.92万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10450173/
• 关键词: control; wind-induced self excited vibration; magnet; passive control; semi-active control; perturbation; 磁力; 磁石ダンパー; 自励外力; ダンパー設計

The present study investigates an alternative remedy to control self-excited oscillation of slender structures by transferring energy from lower modes of vibration to higher modes. In a theoretical approach based on simplified models, various passive and semi-active devices are proposed and compared. The first chapter introduces the principle and the background of this study. In chapter two and three, a self-excited two-degree-of-freedom model with a passive magnetic device is considered. The presence of the device induces a strong non-linearity in the system. The analysis is based on energy considerations and finds that, depending on the setting of the device, the system can have either one or two stable steady states. The existence of two families of steady states is an obstacle for an optimal design of a passive magnetic device. To ensure that the system stays at the steady state with the lowest amplitude of oscillation, semi-active devices are proposed and analyzed in chapter four. It is found that the efficiency and robustness is greatly improved. Results of simulation showing good agreements with the analysis are also presented. The second part of this study is concerned with continuous structures. In chapter five, the galloping wind model is formulated and chapter six deals with the implementation of a passive magnetic device on a cable. Finally, the passive magnetic device and the semi-active devices are tested on a cable via simulation. The results, presented in chapter seven, are similar to those obtained in two degrees of freedom and demonstrates the potential of using these control schemes in practical applications on slender structures : energy input through the building up of unstable lower modes is transferred to stable higher modes and then dissipated by the decay of high frequency vibration.

本研究研究了一种替代疗法，通过将能量从较低的振动模式转移到较高模式，以控制纤细结构的自振荡振荡。在基于简化模型的理论方法中，提出并比较了各种被动和半活动设备。第一章介绍了本研究的原理和背景。在第二章和第三章中，考虑了具有被动磁性装置的自激发两度自由模型。设备的存在引起系统中强烈的非线性。该分析基于能量考虑因素，并发现，根据设备的设置，系统可以具有一个或两个稳定的稳态状态。两个稳态家族的存在是被动磁性装置最佳设计的障碍。为了确保该系统保持振荡幅度最低的稳态，在第四章中提出并分析了半活动设备。发现效率和鲁棒性大大提高。还提供了与分析达成良好协议的模拟结果。这项研究的第二部分与连续结构有关。在第五章中，制定了疾驰的风模型，第六章涉及电缆上的被动磁性设备的实现。最后，通过模拟在电缆上测试了被动磁性装置和半活动设备。第七章中介绍的结果与以两个自由度获得的结果相似，并证明了在细长结构上使用这些控制方案的潜力：通过构建不稳定的下部模式的能量输入转移到稳定的较高模式中然后因高频振动的衰减而消散。

项目成果

Thomas,Y.Fujino,M.Abe: "Control of self-excited Oscillation by energy Dissipation in Higher Modes"サマー国際シンポジウム(土木学会). 1. 60-63 (1999)

Thomas, Y. Fujino, M. Abe：“通过高模态能量耗散控制自激振荡”夏季国际研讨会（日本土木工程师学会）1. 60-63 (1999)。

Thomas,Fujino and Abe: "On Magnetic Damper"サマー国際シンポジウム(土木学会). 1. 60-63

Thomas、Fujino 和 Abe：“磁阻尼器”夏季国际研讨会（日本土木工程师学会）1. 60-63。

阿部雅人,藤野陽三,尾松: "磁石ダンパーの基本的特性"構造工学論文集(土木学会). 46. 288-306

Masato Abe、Yozo Fujino、Omatsu：“磁力阻尼器的基本特性”结构工程论文（日本土木工程师学会）46. 288-306。

尾松・阿部・藤野: "振動モード形の変化を利用した磁石ダンパーによる自励振動のパッシブ制御" 構造工学論文集(土木学会). 44 (印刷中). (1999)

Omatsu、Abe 和 Fujino：“利用振动模式形状的变化通过磁阻尼器对自激振动进行被动控制”《结构工程汇刊》（日本土木工程师学会）44（出版中）。

Thomas Le Diouron, Y. Fujino, M. Abe: "Control of self-excited Oscillation by energy Dissipation in Higher Modes"Summer International Symposium, Japan Society of Civil Engineers. No. 1. 60-63 (1999)

Thomas Le Diouron、Y. Fujino、M. Abe：“高模中能量耗散对自激振荡的控制”夏季国际研讨会，日本土木工程师学会。