基于ALE-ANCF方法的卷曲展开机构动力学建模与分析  

Deployment dynamics modelling and analysis of a rolled deployable mechanism based on the ALE-ANCF method

作　　者：黄斐 袁婷婷 刘锦阳[1] HUANG Fei;YUAN Tingting;LIU Jinyang(School of Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;School of Civil Engineering and Architectural,Guangxi University,Nanning 530004,China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]广西大学土木建筑工程学院,南宁530004

出　　处：《振动与冲击》2025年第2期131-142,共12页Journal of Vibration and Shock

基　　金：国家自然科学基金(12272221,11932001);国家自然科学基金国际合作项目(12311530038)。

摘　　要：针对含复杂的多区域接触的卷曲展开机构,该研究将其简化为带刚性转盘的变长度柔性构件,建立多体系统动力学模型,以实现高效仿真。首先,基于任意拉格朗日-欧拉描述的绝对节点坐标法对变长度梁进行建模;然后,将复杂接触问题简化为移动边界的约束关系,给出一种增删节点处理方法,有效解决了单元长度变化引起的奇异和精度问题,在此基础上建立了刚-柔耦合多体系统的动力学模型,用隐式算法实现了动力学方程的数值求解。通过滑绳和动滑轮算例验证了建模方法的有效性;最后,建立了卷曲机构充气展开系统的简化动力学模型,该模型采用任意拉格朗日-欧拉法移动网格实时跟踪卷曲机构的位置,精准捕捉移动边界点,从而高效确定接触行为。分析了气压力与黏附力对展开动力学特性的影响,通过控制黏附力分布,实现了卷曲机构的匀速展开,对工程实际具有参考价值。A crimped expansion mechanism with complex multi-region contact was simplified to a variable-length flexible component attached with a rigid disk,and the multi-body system dynamics model was established to realize efficient simulation.Firstly,a variable-length beam was modeled using the absolute nodal coordinate formulation described by arbitrary Lagrangian-Eulerian method,and then the complex contact problem was simplified into the study of constraint relation of moving boundary.A method for adding and deleting nodes was presented which can effectively solve the singularity and accuracy problems caused by the change of element length.On this basis,a rigid-flexible coupling dynamic model for the multibody system was established,and the numerical solution of the dynamic equations was realized by an implicit algorithm.The effectiveness of the modeling method was verified by examples of sliding rope and moving pulley.Finally,the simplified dynamic model of an inflatable deployment system for the rolled deployable mechanism was developed,in which the arbitrary Lagrangian-Eulerian moving mesh was used to track the real-time position of the rolled deployable mechanism,accurately capture the moving boundary points,and quickly determine the contact behavior.The influence of air pressure and adhesion force on the development dynamic characteristics was analyzed.By controlling the distribution of adhesion force,the uniform deployment of the rolled deployable mechanism is achieved,which holds practical engineering significance.

关 键 词：变长度梁 任意拉格朗日-欧拉描述的绝对节点坐标法 卷曲展开机构 动力学建模 移动边界约束方程 

分 类 号：O312[理学—一般力学与力学基础] TP242[理学—力学] TP202[自动化与计算机技术—检测技术与自动化装置]