中文摘要：

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。

英文摘要：

In order to solve the kinetic simulation problem of motional cable harness with unilateral constraints in the process of assembly and service, an physical modeling and simulation method of motional cable harness under smooth plane constraint is proposed which is based on the theory of thin elastic rod.The method analyzes the load conditions of motional cable harness, and expresses the constraint force in the form of a plane normal vector. The relative spatial relationship between nodes and plane is used as the constraint equations. The Kirchhoff equilibrium equation under distribution forces and the physical model of motional cable are attained. The model is solved by the method of nonlinear constrained optimization. Some examples are done based on different conditions. Furthermore, the proposed model and numerical solution is tested by comparing the simulated and the actual shape of motional cable. And the result shows that the model and solution can truly express the basic physical properties and deformation characteristics under smooth plane constraint.