某自行高炮刚柔耦合动力学建模方法研究  

Research on a Rigid-Flexible Coupling Dynamics Modeling Method of a Self-Propelled Anti-Aircraft Gun

作　　者：张鑫[1] 张辉[1] 王宝宝 贺世豪 ZHANG Xin;ZHANG Hui;WANG Baobao;HE Shihao(716th Research Institute of China Shipbuilding Industry Corporation,Lianyungang 222000,Jiangsu,China;School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,Jiangsu,China)

机构地区：[1]中国船舶重工集团公司第七一六研究所,江苏连云港222000 [2]南京理工大学机械工程学院,江苏南京210094

出　　处：《火炮发射与控制学报》2022年第5期15-23,共9页Journal of Gun Launch & Control

摘　　要：车辆底盘作为高射炮的载体,射击过程需要实时获取车体姿态信息,以进行火控解算实时修正,提高毁伤概率,研究射击过程中车体姿态变化可显著提高射击精度。以某自行高炮为研究对象,在简化模型的基础上,应用多体动力学理论,采用牛顿欧拉方程对模型中的刚体构件进行受力分析,得到单个构件的动力学方程,应用有限元法得到柔性车架的刚度信息和质量信息,并构造相应的柔体动力学方程组。采用直接刚度法消除方程组中的约束反力项,得到全炮刚柔耦合模型的动力学方程组。采用振型叠加法实现方程组解耦,求解大型二阶微分方程组,得到某自行高炮射击状态下的动力学响应。针对某典型工况,利用ABAQUS有限元软件进行了建模方法和解算方法的可行性验证。采用该刚柔耦合动力学建模方法,可实现射击过程中车体姿态快速求解,为解决复杂多体系统动力学响应快速求解问题探索了一种新方法,对自行高炮射击精度的改善具有一定工程价值。As the carrier of the anti-aircraft gun, the vehicle chassis needs to obtain the attitude information of the vehicle body in real time during the shooting process, so as to carry out real-time correction of fire control solutions and improve kill probability. Studying the attitude change of the vehicle body during the shooting process can significantly improve shooting accuracy. A self-propelled anti-aircraft gun was selected as the research object, based on which a simplified model was established. Multi-body dynamics theory, the Newton Euler equation were used to analyze the loading cases of rigid components in the model. As a result, dynamics equations of individual components were obtained. And the finite element method was applied to get the rigidity and mass of the flexible vehicular frame. A corresponding flexible body dynamics equation system was then established. After eliminating the constraint inverse force term in the equations by the direct stiffness method, the dynamic equations of the rigid-flexible coupling model of the whole gun were obtained. The equations were decoupled by mode superposition and following the solution of the large second order differential equations, the dynamic response of the self-propelled anti-aircraft gun under firing conditionswas obtained. For a typical working condition, the feasibility of the modeling method and the calculation method was verified by using the ABAQUS finite element software. Using the rigid-flexible coupling dynamics modeling method, vehicle attitude can be solved quickly in the shooting process. These efforts are an exploration into creating a new method to solve the problem of dynamic response of complex multi-body systems, and have certain engineering value in terms of improving the shooting accuracy of self-propelled anti-aircraft guns.

关 键 词：刚柔耦合 直接刚度法 振型叠加法 动力学方程组 有限单元法 

分 类 号：TJ303[兵器科学与技术—火炮、自动武器与弹药工程]