本文係以有限元素法來模擬列車-軌道系統,並建立系統的運動方程式,再利用時間逐步積分(time-step integration)的技巧來求解列車-軌道之間的垂直向互制振動問題。考慮軌道結構中道碴流失及鋼軌劣化兩種損傷類型,並假設軌道某處相鄰位置發生多重損傷,進一步探討軌道損傷對於車體位移反應之影響,且引用了特徵正交分解(Proper Orthogonal Decomposition,簡稱P.O.D.)方法分析車體相對位移反應,進而識別出軌道結構的損傷程度、類型與位置,以達成整體軌道結構之健康診斷(health diagnosis)。 除此之外,本文另外探討出列車行駛速度與因軌道受損而造成車體位移反應之關係,以及嘗試改變車體勁度對於車體位移反應之影響,可供未來利用行駛車輛來檢測軌道損傷參考設計之依據。
The study uses a finite element method to simulate a vehicle-track system. First, the equations of motion of the system are established. Then, the vertical vibration interaction between the rail and the vehicle is solved by a time-step integration scheme. In this research, we consider that two kinds of damage including ballast loss and rail deterioration may occur simultaneously at adjacent places, and investigate the influence of these damage on the displacement response of the body of the vehicle. Furthermore, proper orthogonal decomposition (abbreviated as P.O.D.) is applied to the time history data of the relative displacement of the car body to identify damage types, extents, and locations for health diagnosis of the track structure. In addition, the study explores the influences of the vehicle speed and the vehicle moving on the damaged track in order to provide information on designing a track-inspection vehicle in the future.