Recent content by mark1234
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Solving Laplace Transform for Arduino PID Controller
Ok, so i solved my problem: C \frac{\partial T(t)}{\partial t} + K(T(t)-T0) = \frac {V(t)^2} {R} use boundary condition T(0)=T0=0, Laplace transform gives : T(s).(Cs-K)= \frac {V(s)^2} {R} resulting in: G(s) = \frac {T(s)} {V(s)^2} = \frac {1/R} {Cs+K} = \frac {K} {τs+1}...- mark1234
- Post #11
- Forum: Mechanical Engineering
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Solving Laplace Transform for Arduino PID Controller
Attached is the simulink model of both the time series and the transfer function. https://dl.dropboxusercontent.com/u/75646341/Knipsel.JPG and the result of the simulation: https://dl.dropboxusercontent.com/u/75646341/Knipsel2.JPG The transfer function of V(t)^2/R-K(T(t)-T0)=C*dT(t)/dt...- mark1234
- Post #10
- Forum: Mechanical Engineering
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Solving Laplace Transform for Arduino PID Controller
The laplace transform G(s) would then be (T(s)-T0)/V(s) I'll check if there's an error in my simulink model, or interpretation of it.- mark1234
- Post #9
- Forum: Mechanical Engineering
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Solving Laplace Transform for Arduino PID Controller
Buell, Thanks for your efforts. In the time function there is a squared function of V(t) present. How did you get rid of that? The transfer function, G(s) = (T(t)-T0)/V(t) Thanks,- mark1234
- Post #7
- Forum: Mechanical Engineering
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Solving Laplace Transform for Arduino PID Controller
Guess i get stuck in the Laplace transform or re-writing it to the correct form. Solving the time equation , with boundary condition T(0)=T0: T(t)-T0={\frac{V(t)^2}{KR}} (1-e^{k*t/C}) To get to the transfer function this apparently has to be rewritten in the form of...- mark1234
- Post #4
- Forum: Mechanical Engineering
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Undergrad Does Launch Angle Affect Speed at Impact with Air Resistance?
When air resistance is ignored, the projectile will only be accelerated by gravity. I would think the velocity when hitting the water would then be exactly the same for all angles, only the distribution over the x and z component are depending on the angle. -
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Undergrad Does Pascal's Law Apply to a Sealed Fluid System with Gravity?
My two cents: If the top and the bottom of the cylinder are connected by a hose, the pressure in the water column is hydro static (in case of no movement . The pressure at the bottom and the top of the piston therefore balance each other out in a static situation (whatever the position, of... -
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Solving Laplace Transform for Arduino PID Controller
Hi All, I'm playing around with an arduino, and have build a PID controller that controls the temperature of a light bulb, measured with an NTC. All is working fine I'm looking to get a bit more theoretical on the subject and have modeled the system in a simulink like environment. I want...- mark1234
- Thread
- Laplace Laplace transform Transform
- Replies: 10
- Forum: Mechanical Engineering