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A general methodology to establish the contact force model for complex contacting surfaces

机译：建立复杂接触表面的接触力模型的通用方法

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In recent years, numerous studies have been conducted regarding the modeling of contact/ impact events between smooth contacting surfaces, i.e. spheres and cylinders. Contrastingly, less attention has focused on the contact process between bodies with complex surfaces. In this paper, we develop an inverse research strategy towards the establishment of contact force model for complex contacting surfaces, namely, extracting the relevant dynamical parameters, like contact stiffness coefficient K, damping factor χ and exponent n, by utilizing parameter identification methods. Taking the contact process between barrel and bourrelet of projectile as our research object, the finite element elasto-plastic dynamic model is firstly built. After that, the changes of several physical quantities during the contact process under different initial indentation velocities can be acquired, including the contact force, indentation, and the corresponding indentation velocity, which provide input data for the following parameter identification process. The mapping relationship between input variables can be assumed. Then, the genetic algorithm-sequential quadratic programing (GA-SQP) hybrid estimation method is employed to obtain the unknown contact dynamical parameters under each initial indentation velocity. Relation between each unknown dynamical parameter and initial indentation velocity can be fitted using the least square method. Hence, the contact force model specialized for contact process between barrel and bourrelet can be established. Finally, the dynamic equations of projectile - barrel coupled system considering the effect of rigid - flexible coupling during the artillery launching process are established, and the proposed contact force model is employed to quantify the contact responses between barrel and bourrelet. Simulation results obtained show great agreements with those of recent dissertation and live ammunition firing.
机译：近年来，已经进行了许多有关光滑接触表面即球和圆柱之间的接触/冲击事件建模的研究。相反，较少的注意力集中在具有复杂表面的物体之间的接触过程上。在本文中，我们针对建立复杂接触表面的接触力模型开发了一种逆向研究策略，即利用参数识别方法提取相关的动力学参数，如接触刚度系数K，阻尼系数χ和指数n。以炮弹与枪管的接触过程为研究对象，首先建立了弹塑性有限元动力学模型。此后，可以获取接触过程中不同初始压痕速度下几个物理量的变化，包括接触力，压痕和相应的压痕速度，为后续的参数识别过程提供输入数据。可以假设输入变量之间的映射关系。然后，采用遗传算法-序列二次规划（GA-SQP）混合估计方法来获得每个初始压痕速度下的未知接触动力学参数。可以使用最小二乘法拟合每个未知动力学参数与初始压痕速度之间的关系。因此，可以建立专门用于枪管和波雷莱之间的接触过程的接触力模型。最后，建立了考虑炮弹发射过程中刚柔耦合效应的弹丸-炮管耦合系统动力学方程，并采用提出的接触力模型对炮管与波雷雷之间的接触响应进行量化。仿真结果与最近的论文和实弹射击具有很好的一致性。

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