Shock Absorber Model. The given shock absorber
model is a forced oscillator with nonlinear damping. The equations describing
the system are given in the backgrond section below.
We are to investigate the behavior of the system as we change certain parameters
in it, which can be read in the analysis section.
This project is
an exploration of a nonlinear shock model. The model is a system of four
The first two equations
describe the shock absorber's position and velocity, and the last two equations
describe the forcing functions. The forcing functions are uncoupled from
the velocity and displacment functions, but the velocity and displacement
functions depend on the forcing system directly.
The constants c2,
a, b, omega and A have fixed positive values given below.
Lambda and c1 values
vary while staying close to zero. The variation of those two parameters
changes the behavior of the whole system. This system has only one steady
state, which is when the system is at rest, and all of the variable of
the system (x, y, w, and z) are all set to zero.