基于交互模式的柔性体接触碰撞动力学建模方法
发布时间：2019-01-06 13:29
【摘要】：目前对于任意形状的柔性体接触碰撞问题,一般采用有限元离散,通用的建模方法有两类:罚函数法和附加约束法.罚函数法将接触作用视为弹簧阻尼力元,无需求解约束方程,但依赖于碰撞力参数的选取;附加约束法可严格满足接触约束条件,但数值求解更为复杂.针对两类接触模型各自的优缺点,提出基于交互模式的建模方法.该方法将整个模型分为局部静力学模块和主体动力学模块,在每个积分步内,局部静力学模块求解接触力,主体动力学模块求解运动学变量,两个模型之间进行位移和力的交互.该方法综合了附加约束法和罚函数法各自的优点,既无需人为选取碰撞参数,又满足局部区域互不嵌入的约束条件,同时数值求解方便.通过杆-板碰撞的实验算例及滑块-滑槽多点碰撞的数值算例,验证了该方法的有效性.
[Abstract]:At present, the finite element method is generally used to discretize the contact collision problem of flexible body with arbitrary shape. There are two kinds of general modeling methods: penalty function method and additional constraint method. The penalty function method regards the contact action as spring damping force element, which does not need to solve the constraint equation, but depends on the selection of collision force parameters. The additional constraint method can strictly satisfy the contact constraint condition, but the numerical solution is more complicated. Aiming at the merits and demerits of the two kinds of contact models, a modeling method based on interaction pattern is proposed. In this method, the whole model is divided into local statics module and main body dynamics module. In each integral step, the local statics module solves the contact force and the main body dynamics module solves the kinematics variable. The displacement and force are interacted between the two models. This method combines the advantages of the additional constraint method and the penalty function method, and not only does not need to choose the collision parameters artificially, but also satisfies the constraint conditions of non-embedding in the local region. At the same time, the numerical solution is convenient. The effectiveness of the method is verified by the experimental examples of rod-plate collisions and the numerical examples of sliding-chute multi-point collisions.
【作者单位】： 上海交通大学工程力学系;
【基金】：国家自然科学基金(批准号:11132007,11202126)资助的课题~~
【分类号】：O313.4
，
本文编号：2402851
[Abstract]:At present, the finite element method is generally used to discretize the contact collision problem of flexible body with arbitrary shape. There are two kinds of general modeling methods: penalty function method and additional constraint method. The penalty function method regards the contact action as spring damping force element, which does not need to solve the constraint equation, but depends on the selection of collision force parameters. The additional constraint method can strictly satisfy the contact constraint condition, but the numerical solution is more complicated. Aiming at the merits and demerits of the two kinds of contact models, a modeling method based on interaction pattern is proposed. In this method, the whole model is divided into local statics module and main body dynamics module. In each integral step, the local statics module solves the contact force and the main body dynamics module solves the kinematics variable. The displacement and force are interacted between the two models. This method combines the advantages of the additional constraint method and the penalty function method, and not only does not need to choose the collision parameters artificially, but also satisfies the constraint conditions of non-embedding in the local region. At the same time, the numerical solution is convenient. The effectiveness of the method is verified by the experimental examples of rod-plate collisions and the numerical examples of sliding-chute multi-point collisions.
【作者单位】： 上海交通大学工程力学系;
【基金】：国家自然科学基金(批准号:11132007,11202126)资助的课题~~
【分类号】：O313.4
，
本文编号：2402851
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