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链式回转弹仓非线性动力学建模与分析

鲁俊杰, 邹权*, 陈龙淼   

  1. 南京理工大学 机械工程学院
  • 收稿日期:2025-03-19 修回日期:2025-08-05
  • 基金资助:
    国家自然科学基金项目(1231161101560)

Nonlinear Dynamic Modeling and Analysis of Chain Rotational Shell Magazine

LU Junjie,ZOU Quan*,CHEN Longmiao   

  1. School of Mechanical Engineering, Nanjing University of Science and Technology
  • Received:2025-03-19 Revised:2025-08-05

摘要: 针对链式回转弹仓控制器设计中控制模型选取主观性强,导致模型精度不高、控制性能提升难等问题,提出一种“全阶建模-参数辨识-灵敏度分析降阶”的三位一体解决方案。基于某火炮弹药自动装填系统链式回转弹仓的实际结构特征,考虑驱动电机动态特性、减速器传动齿隙、链传动多边形效应、时变啮合碰撞、非线性摩擦耗散及结构柔性变形等关键因素,建立弹仓非线性全阶动力学模型。针对动力学模型中参数众多、耦合性强、经验标定难的问题,建立基于粒子群优化(Particle Swarm Optimization,PSO)算法的多目标参数辨识框架实现关键参数辨识,经多工况实验验证表明,新建立的全阶动力学模型与实际系统的稳态相对误差低于5.97%。进一步结合Sobol全局灵敏度分析法定量评估17个参数对系统动态响应和定位精度的影响,其中负载端质量和库伦摩擦的电流闭环全局灵敏度指数分别为0.25和0.42,齿隙和负载端最大静摩擦的位置闭环全局灵敏度指数分别为0.20和0.78,基于上述分析结果构建降阶数学模型,通过保留关键参数显著简化了控制器设计复杂度,为基于模型的控制算法开发提供了适配性更强的轻量化模型架构。

关键词: 弹仓, 非线性建模, 参数辨识, 灵敏度分析

Abstract: Aiming at the issues of strong subjectivity in control model selection during the design of automatic chain rotational shell magazines, which lead to insufficient model accuracy and difficulties in improving control performance, a tripartite solution of “full-order modeling, parameter identification, and sensitivity-driven model reduction” is proposed. Based on the structural characteristics of a chain rotational shell magazine in an automatic loading mechanism for self-propelled artillery ammunition, a comprehensive nonlinear full-order dynamic model is developed by integrating critical factors including the dynamic characteristics of drive motors, transmission backlash of reducers, polygonal effect in chain drives, time-varying meshing collisions, nonlinear friction dissipation, and structural flexibility. To address the challenges of numerous coupled parameters and empirical calibration difficulties in the dynamic model, a multi-objective parameter identification framework based on the Particle Swarm Optimization (PSO) algorithm is developed for key parameter determination. Multi-condition experimental verification demonstrates that the steady-state relative error between the established full-order dynamic model and the actual system remains below 5.97%. Furthermore, Sobol global sensitivity analysis is employed to quantitatively evaluate the impact of 17 parameters on system dynamic response and positioning accuracy. The analysis reveals that the current-loop global sensitivity indices for load-end mass and Coulomb friction are 0.25 and 0.42 respectively, while the position-loop global sensitivity indices for gear backlash and maximum static friction at the load end are 0.20 and 0.78 respectively. Based on these findings, a reduced-order mathematical model is constructed by retaining critical parameters, significantly simplifying controller design complexity and providing a lightweight model architecture with enhanced adaptability for model-based control algorithm development.

Key words: shell magazine, nonlinear modeling, parameter identification, sensitivity analysis

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