3200-Final-Project

Mechanical Engineering Project

1. Quarter Car Model
   

• RUN THIS FILE: leastsquaresfit.m - fits both spring and damping force data into a polynomial least squares curve
  

2. Simulation
   

• RUN THIS FILE: Simulation.m - solves solve system of ODEs with 4th order Runge-Kutta and forward Euler. Note that there are two dydtsys files: dydtsys10 (for V = 10 km/hr) and dydtsys40 (for V = 40 km/hr). Other than the difference in V value, both dydtsys files are the exact same.
  

• calls the following: rk4sys.m, euler.m, dydtsys10.m, dydtsys40.m

3. Data Analysis
   

• RUN THIS FILE: finiteDifference.m

• RUN THIS FILE: zerocrossing.m - solve for zero-crossing time via bisection method on a 5th order Lagrange Interpolating Polynomial

• RUN THIS FILE: numericalIntegration.m - compute energy loss due to damping

• calls the following: lagrangeIP5.m, bisection.m