本研究主要是以向量式有限元(Vector Form Intrinsic Finite Element，(VFIFE, V-5))，簡稱V-5的基本理論，來分析平面剛架結構物上之移動荷載、移動質量及移動車輛非線性動力反應。在文中將推導的移動荷載、移動質量及移動車輛理論引進向量式有限元理論中使用，在移動荷載方面以節點分佈力觀念加入程式，移動質量及移動車輛利用矩陣處理互制作用使向量式有限元程式也可以模擬行駛中的車輛或列車，其中移動車輛理論也就是車輛–結構互制效應(vehicle – structure interaction)，再分別以移動荷載、移動質量及移動車輛模擬方式作數值算例，並與早期文獻比較結果。由數值算例分析結果顯示，向量式平面剛架元能有效模擬移動荷載、移動質量及移動車輛非線性動力行為，而且方法相當簡單不需任何龐大矩陣求解與迭代方法。 A novel motion analysis method so called Vector Form Intrinsic Finite Element (VFIFE) method was used to study the nonlinear dynamic behavior of frame structure subjected to moving forces and masses. In this paper, the program use VFIFE with moving forces, moving masses and moving vehicles. Use equivalent nodal force to simulate the moving force problem. The moving mass problem or the moving vehicle problems make use of a local matrix to handle interacting effect. Therefore, VFIFE can calculate the process vehicle or train. And the moving vehicle theorem is the vehicle - structure interaction theorem. Furthermore, the numerical problems about moving forces, moving masses or moving vehicles compare results with early papers. Numerical results demonstrate that the proposed method can accurately simulate the nonlinear dynamics response of frame structure subjected to moving forces and masses, and in the analysis procedure of the VFIFE method, it is not required to solve any matrix equation and use any iteration.
