慣質觀念之實現及在建築物減震之應用

The realisations of Inerter concept and the application to building suspension

徐茂盛(Mao-Sheng Hsu)

指導教授 ： 王富正

國立臺灣大學/工學院/機械工程學研究所/碩士(2005年)

https://doi.org/10.6342/NTU.2005.01753

摘要

本篇論文，探討傳統機械/電子網路對稱關係中一項不完美對稱的解決方式－慣質。我們首先就慣質的概念與原理，進行說明；並且在傳統被動式避振系統裡，加入了慣質元件，推導加入慣質元件的避振系統之轉移函數，並以實驗驗證慣質元件的特性。我們製作了兩種不同機械機構的慣質元件，討論其製作與使用上的優缺點，並以實驗證明了慣質元件的性能特性。最後我們以慣質模擬質量，導入建築物避振系統的應用，利用慣質避振器的特性，在特定頻率降低震動之振幅，藉此消除震動對建築物的影響。

關鍵字

慣質 ； 被動式避振系統 ； 機械網路 ； 電子網路 ； 建築物避振系統

並列摘要

This thesis discusses a new mechanical network element, Inerter, from the analogy of mechanical and electrical networks. Firstly we probe into the concept and principle of Inerter and make two kinds of Inerter models. Secondly we combine Inerter with traditional suspension element, i.e spring and damper, and discuss the transfer functions of the networks. Thirdly a complete plateform is constructed to verify the network properties experimentally. Finally we consider a simple building suspension model to show the benefits of applying Inerter to building suspension design. Using an Inerter to simulate a heavy mass, we are able to assemble a building model to experimentally verify the suspension design. The Inerter properties are used to decrease the vibrations on specific frequency range to building.

並列關鍵字

Inerter ； passive suspension ； mechanical network ； electrical network ； building suspension

參考文獻

[1] J. P. Talbot, On the Performance of Base-Isolated Buildings: A Generic Model. PhD thesis, Cambridge University, Nov. 2001.

[2] J. P. Talbot and H. E. M. Hunt, The effect of side-restraint bearings on the performance of base-isolated buildings. Proceedings of the I MECH E Part C Journal of Mechanical Engineering Science, vol. 217, no. 8, pp. 849-859(11) , August 1 2003

[4] J. P. Talbot and H. E. M. Hunt, On The Performance of Base-Isolated Buildings, Building Acoustics vol. 7, No. 3, 2000

[5] M. C. Smith, Synthesis of Mechanical Networks: The Inerter, IEEE Transactions on Automatic Control, vol 47, NO. 10, October 2002

[7] M. C. Smith and F. C. Wang, Performance Benefits in Passive Vehicle Suspensions Employing Inerters, 42nd IEEE Conference on Decision and Control, Hawaii,