Well, if I have an underdamped system I do have non-sinusoidal oscillations. However, in my comment I limited the curve fitting to an overdamped system. In this case, the fit does seem to match the sum of two algorithmic decaying functions. But, since I have no exact way to calculate the...
Hello,
I can simulate a curve using the force equations we have listed above and by setting the mass, K, and other system properties to anything I desire. Using a small program I can set the initial conditions (velocity, acceleration, position), and then using small desecrate steps I can...
Hello BvU,
Thanks again for the quick response. "There is no analytical solution afaik." is unfortunately the same solution I came too. Regarding the use of Perturbation Theory, that was one of the reasons I stated in my original post the assumption that the oscillation occurs within a specific...
Dear BvU,
Thanks for the reply, but I know how to generate the equation. My attempt to write the equation for a dampened harmonic spring was:
mass*accel + damp*velocity + k_spring*displacement + G*m1*m2 / separation^2 = 0.
With your formatting, the equation looks significantly nicer (note...
Hello,
I have a question regarding Damped Harmonic Motion and I was wondering if anyone out there could help me out? Under normal conditions, gravity will not have an affect on a damped spring oscillator that goes up and down. Gravity will just change the offset, and the normal force equation...