光滑平面约束下的活动线缆物性建模与运动仿真技术
发布时间：2019-03-14 08:09
【摘要】：针对活动线缆在安装和服役过程中受到单面约束时的运动过程仿真问题,提出一种基于弹性细杆静力学理论的光滑平面约束下的活动线缆物性建模与仿真方法。该方法通过分析活动线缆在光滑平面约束下的受力情况,将活动线缆所受到的约束力用拉格朗日乘子表达,将节点与平面的相对空间位置关系作为限制活动线缆运动的约束方程,得到分布力作用下的活动线缆Kirchhoff平衡方程,并建立活动线缆的物理模型。进而采用非线性约束优化方法求解模型。最后根据不同假设条件进行算例测试,通过比较活动线缆的仿真形态和实际形态,验证模型和数值解法的正确性。结果表明,该模型和解法能充分真实地表达活动线缆的基本物理特性和活动线缆受到光滑平面约束时的形变特点。
[Abstract]:In order to simulate the motion process of moving cable under one-sided constraint during installation and service, a physical modeling and simulation method for moving cable under smooth plane constraint based on the static theory of thin elastic rod is proposed. In this method, the force of active cable under smooth plane constraint is analyzed, and the binding force of active cable is expressed by Lagrangian multiplier. The relative spatial position relationship between the nodes and the plane is taken as the constraint equation to restrict the movement of the active cable. The Kirchhoff equilibrium equation of the active cable under the distributed force is obtained and the physical model of the active cable is established. Then the nonlinear constrained optimization method is used to solve the model. Finally, a numerical example is tested according to different hypothetical conditions, and the correctness of the model and numerical solution is verified by comparing the simulation form and the actual form of the moving cable. The results show that the model and the solution can express the basic physical properties of the active cable and the deformation characteristics of the active cable under the constraint of smooth plane.
【作者单位】： 北京理工大学机械与车辆学院;
【基金】：国家自然科学基金(51275047) 国防基础科研(A0420132501)和总装预先研究(51318010102)资助项目
【分类号】：O343
，
本文编号：2439808
[Abstract]:In order to simulate the motion process of moving cable under one-sided constraint during installation and service, a physical modeling and simulation method for moving cable under smooth plane constraint based on the static theory of thin elastic rod is proposed. In this method, the force of active cable under smooth plane constraint is analyzed, and the binding force of active cable is expressed by Lagrangian multiplier. The relative spatial position relationship between the nodes and the plane is taken as the constraint equation to restrict the movement of the active cable. The Kirchhoff equilibrium equation of the active cable under the distributed force is obtained and the physical model of the active cable is established. Then the nonlinear constrained optimization method is used to solve the model. Finally, a numerical example is tested according to different hypothetical conditions, and the correctness of the model and numerical solution is verified by comparing the simulation form and the actual form of the moving cable. The results show that the model and the solution can express the basic physical properties of the active cable and the deformation characteristics of the active cable under the constraint of smooth plane.
【作者单位】： 北京理工大学机械与车辆学院;
【基金】：国家自然科学基金(51275047) 国防基础科研(A0420132501)和总装预先研究(51318010102)资助项目
【分类号】：O343
，
本文编号：2439808
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