This paper presents a new Moving Internal Node Element (MINE) method for the dynamic analysis of bridges/beam structure under a moving load/vehicle. By introducing a moving internal node within the standard beam element, the resulting MINE method eliminates the need for interpolation for the dynamic responses at the contact point between the moving load/vehicle and the beam structure. The governing equation of the moving internal node element is derived from the resulting bi-element with variable lengths but yet keeping the total length of the bi-element a constant. With this bi-element, the moving load/vehicle can be tracked easily as it is coincident with the moving internal node. This allows the reduction of the number of elements when compared to the conventional FEM needed to accurately predict the dynamic responses (e.g., displacement, velocity, and acceleration) of the moving load/vehicle (including at the contact point). Accuracy and computational efficiency are enhanced due to the smaller number of elements needed in the MINE method. The illustrative moving load/vehicle problems solved herein demonstrated the accuracy of the MINE method as well as its versatility and easy handling of any vehicle model.

本文提出了一种新的移动内部节点单元 (MINE) 方法，用于在移动载荷/车辆下对桥梁/梁结构进行动力分析。通过在标准梁单元中引入一个移动内部节点，由此产生的 MINE 方法消除了对移动负载/车辆与梁结构之间接触点处的动态响应进行插值的需要。移动内部节点元素的控制方程是从得到的具有可变长度的双元素导出的，但仍保持双元素的总长度恒定。使用这种双元素，可以轻松跟踪移动的负载/车辆，因为它与移动的内部节点重合。与准确预测动态响应（例如位移、速度和加速度）的移动负载/车辆（包括在接触点）。由于 MINE 方法所需的元素数量较少，因此提高了准确性和计算效率。此处解决的示例性移动负载/车辆问题证明了 MINE 方法的准确性以及它的多功能性和对任何车辆模型的轻松处理。