慣質於火車避震系統之應用

The application of Inerter to train suspension systems

張孟倫(Meng-Lun Chang)

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.2005.01879

摘要

我們將討論一個新的機械元件-慣質-的觀念，這個新發明的被動式元件是從機械系統與電子網路系統上，彼此間的不完美對稱性中發現。其首次應用，是在汽車的懸吊系統設計上。在本論文中，我們將慣質加在火車懸吊系統，將它與傳統的懸吊作並聯以及串聯的組合，再以轉移函數及狀態方程式來建立單輪、兩輪、四輪以及全車的火車系統，並且利用測試各種的性能指標，來驗證被動式元件-慣質-的確可以有效改進傳統的懸吊系統。最後，則是以火車設計最關鍵的課題-臨界速度 (critical speed)-顯示慣質對增進火車系統安全性的潛在增益。

關鍵字

慣質 ； 電子網路系統 ； 機械網路系統 ； 被動式元件 ； 火車 ； 懸吊系統

並列摘要

This thesis discusses the concepts of a newly-developed mechanical network element, called Inerter. This passive element was invented in 2001 from the imperfect analogy between mechanical and electrical networks, and was first applied to car suspension system. In this thesis, we extended the ideal to train suspension systems by combining Inerter with the traditional suspension systems. Both of the transfer function and state-space methods were used to build the quarter, two wheel, four wheel, and full train models. From various performance index analyses, it was shown that Inerter is beneficial to train performance. Finally, we discussed lateral stability and critical speed for the full train system to show the potential improvement of safety by Inerter.

並列關鍵字

Inerter ； electronic network ； mechanical network ； passive element ； train ； suspension system

參考文獻

[1] C. G. Koh, J. S. Y. Ong, D. K. H. Chua and J. Feng. Moving element method for train-track dynamics. Int. J. Numer. Meth. Engng. 2003; 56: 1549-1567

[2] F.C. Wang. Design and Synthesis of Active and Passive Vehicle Suspensions. PhD thesis, Cambridge University, September 2001.

[3] W. H. Liao and D. H. Wang. Semiactive Vibration Control of Train Suspension System vai Magnetorheologcal Dampers, Jourmnal of Intelligent Material Systems and Structures, Vol.14-March 2003.

[4] M.C. Smith and F.C. Wang. Performance Benefits in Passive Vehicle Suspensions Employing Inerters.42nd IEEE Conference on Decision and Control, Hawaii, USA, December 9-12, 2003.

[5] M.C. Smith. Synthesis of mechanical networks: the inerter, IEEE Transactions on Automatic Control, 47, 1648--1662, 2002.