一种六面体单元有限质点法,包括以下步骤:首先对模型参数初始化,并更新质点位移,然后对六面体单元逆向运动求解质点纯变形,进而计算出质点内力,最终带入中央差分运动公式求解下一步质点位移。本发明通过对传统有限质点法的六面体单元逆向转动以及建立局部坐标系步骤进行改进,采用迭代计算对质点的位移和内力进行更新,使其进一步提高了计算准确度,并在保证计算精度的前提下提高计算效率,有效降低了刚体转动高阶误差,简化了计算流程,也使得推导过程更加简单清晰。本发明的推导过程与方法同样适用于其他类型的实体单元,具有普遍适用意义。
A hexahedral element finite mass method, comprising the following steps: firstly initialising the model parameters and updating the mass displacement, then solving the pure deformation of the mass for the inverse motion of the hexahedral element, then calculating the mass internal force, and finally bringing in the central differential motion formula to solve the mass displacement in the next step. By improving the traditional finite mass method of reversing the rotation of the hexahedral unit and the step of establishing the local coordinate system, the invention uses iterative calculation to update the displacement and internal force of the mass point, so that it further improves the accuracy of the calculation and increases the calculation efficiency while ensuring the calculation accuracy, effectively reduces the higher order error of rigid body rotation, simplifies the calculation process and also makes the derivation process more simple and clear. The derivation process and method of the present invention is also applicable to other types of solid units and is of general application.