论文标题
多粒子弹簧系统动态模型的研究
Study on dynamic model of multi-particle spring system
论文作者
论文摘要
通常，多粒子弹簧系统是一个重要且广泛使用的物理模型。但是，随着颗粒数量的增加，解决颗粒运动轨迹的难度变得越来越困难。解决此问题的关键在于是否可以构建一个方便数值解决方案的多粒子弹簧系统的动态模型。在这项工作中，通过定义新的物理数量，即弹簧动作$ \ Mathcal {K} $，我们研究和重建两种常见类型的多粒子弹簧系统的动态模型。计算结果表明，我们构建的多粒子弹簧动态模型在计算大量粒子的弹簧系统方面具有明显的优势。这将为将多粒子弹簧系统应用于工程或科学问题提供重要的理论解决方案。
Generally, multi-particle spring system is an important and widely used physical model. However, with the increase of the number of particles, the difficulty of solving the kinematic trajectory of the particles becomes more and more difficult. The key to solving this problem lies in whether it is possible to construct a dynamic model of the multi-particle spring system which is convenient for numerical solution. In this work, by defining a new physical quantity, the spring action $\mathcal{K}$, we study and reconstruct the dynamic models of two common types of multi-particle spring systems. The calculation results show that the multi-particle spring dynamic model constructed by us has obvious advantages in calculating the spring system with a large number of particles. This will provide important theoretical solutions for the application of multi-particle spring systems to engineering or scientific problems.
