Study on dynamic model of multi-particle spring system

TL;DR

This paper develops a new dynamic model for multi-particle spring systems using a novel physical quantity, enabling easier numerical solutions for complex systems with many particles.

Contribution

Introduces a new physical quantity, spring action $ ext{K}$, to reconstruct dynamic models of multi-particle spring systems for improved computational efficiency.

Findings

Model simplifies calculations for large particle systems.

Demonstrates advantages over traditional models.

Provides theoretical basis for engineering applications.

Abstract

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.