  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.
