本論文討論慣質對於火車系統之穩定性及性能之增益。慣質是一個新發明的機械元件,用以取代機械系統中的質量,使得機械與網路系統達到完美之對應關係。至今,已有四代慣質的發明,也成功地將慣質運用到不同領域中。本論文將慣質置於單節火車懸吊系統中,比較傳統懸吊系統與加入慣質懸吊系統之穩定性與性能增進,接著將單節火車擴展為多節車廂連結,並討論多節火車對於臨界速度與性能的影響以及側向風力與火車安全運行速度之間的關係。由結果可知,慣質可使得火車之臨界速度與性能大幅提升;尤其使用機電慣質,可藉由外部電路切換,讓系統穩定性以及性能皆可同時提升。本論文同時利用電路實現理論,將所求得之最佳化電路,以五個電子元件實現,並經由實驗驗證其性質。
This thesis discussed the stability and performance of train models employing inerters. An inerter is a newly-developed two-terminal mechanical element, which is used to substitute for the mass element such that the mechanical and electrical networks are truly analogous. Until now, there are four realizations of inerters and they have been successfully applied to various systems. In this thesis, we build a thirty-one degree-of-freedom (DOF) full-train model and discuss the stability and performance benefits by applying inerters at suspension struts. Then, we connected up-to thirteen carts and investigate how the number of carts influences the system’s performance and stability. Lastly, we discuss the effects of cross-wind on system stability. The results show that inerter can significantly improve stability and performance of train systems, especially using mechatronic inerters. We also introduce network synthesis methods to realize the obtained optimal system impedance by five feasible elements and verify the system impedance by experiments.