In this repository, you will find the Code necessary to Graph and Animate a Mass Spring System of 5 masses.

This project was part of a comprehensive assessment at Vanier College under our professor Ivan Ivanov.

Click Here to see the associated paper.

Check out our new 3D version!!!

In your Command Prompt (Cmd) type the following:

git clone https://github.com/delispeter19/springsdiffeq.git

Another option is just to clone/download the zip file from above.

At the start of each jupyter notebook, you will find a parameter screen for masses, spring constants. The masses and spring constants will determine the nature of the parameter matrix P defined later in the code.

#PARAMETERS:

#Masses:
m1=5 ; m2=1 ; m3=2 ; m4=4 ; m5=6

#Spring constants:
c1=1 ; c2=5 ; c3=3 ; c4=4 ; c5=3

There are also 3 possible initial conditions to modify and test. Each set of initial conditions will share the mass and spring constant parameters above.

#INITIAL CONDITIONS:

#Initial Conditions 1:
u11=0. ; u21=0. ; u31=0. ; u41=0. ; u51=1.
du11=0. ; du21=0. ; du31=0. ; du41=0. ; du51=0.

ic1m=[u11,u21,u31,u41,u51,du11,du21,du31,du41,du51]

#Initial Conditions 2:
u12=0. ; u22=0. ; u32=0. ; u42=0. ; u52=0.
du12=0. ; du22=1. ; du32=0. ; du42=0. ; du52=0.

ic2m=[u12,u22,u32,u42,u52,du12,du22,du32,du42,du52]

#Initial Conditions 3:
u13=0. ; u23=0. ; u33=0. ; u43=0. ; u53=1.
du13=0. ; du23=1. ; du33=0. ; du43=0. ; du53=0.
      
ic3m=[u13,u23,u33,u43,u53,du13,du23,du33,du43,du53]

The above screen is essentially how you can change the animations and graphs.