Dynamical systems, Dinamic System, control, differential equations, math, physics, electrical, engeneering, iPhone, iPad, Simulation, LACI, UFRN, Physics Simulation, Math Simulation

iDynamic Tweet Welcome to iDynamic. This page will guide you through the screens of the app to show the simulations and how to use the in-screen buttons and controls. There are 6 different simulations with systems from temperature systems to pendulum mechanical systems. Each simulation can be accessed through buttons in the menu. There is also, for each system, a page explaining the math and physics behind the system and showing how to obtain the mathematical model for each one. You can download the pdf that goes into the app at the end of each section in this page. To get iDynamics here in the following link: Poster presented at CBA2012. Click on the image to download the paper.
		This is the menu of the app. Here you can go to the window for each system. Using the selector button, you can choose to see the simulation or a text explaining the theory behind each system.
This is the window for the spring mass system. Here the user can change the parameters of the system using the sliders. It is also possible to interact with the system dragging the car or the mass. There is a main slider (the first one) that controls the size of the animation. The switch turns on or off the use of the accelerometer to make possible to move the car by physically tilting the device. The left bar button goes back to the menu, the middle ones choose whether the animation is made only with the images, the vectors or both. Finally there are two buttons on the right that show a plot of input and output and let the user pick an input to the system. mass-spring.pdf
		This is the window for the spring mass system with the plot showed up. The blue line represents the input and the red line represents the output.
This is the window for the temperature simulation system. The user can change the temperature voltage and the parameters of the system (thermal resistance and capacity). The images show a physical resistance that heats up and a thermometer. The plot shows the input voltage (blue) and output temperature (red) values. temperature.pdf
		This is the window for the pendulum system. In this system there is a car (green box) and a mass (yellow ball) that form a pendulum system. The user can change the parameters of the system (mass of the ball, angular friction of the link and friction of the car with the hanging line), can apply a force into the car (by dragging it), drag the ball and turn the gravity on or off. One cool feature is that the gravity is changed tilting the device on the y-axis and tilting in the x-axis the user applies a force in the car. pendulum.pdf
This is the window for the pendulum system with the plot showed up. The blue line represents the position of the car and the red line represents the output.
		This is the window for the liquid level system. In this system there is a reservoir with liquid (blue in the figure) and there are two valves. The top one controls the flow of liquid into the reservoir (input of the system). The bottom one controls the aperture that let liquid flow off the reservoir. The output of the system is the level of liquid in the reservoir. The user can also change the base area of the reservoir and turn the gravity on or off. level.pdf
This is the window for the rotatory gears system. In this system there are two gears attached to each other. The input gear can be rotated and its movement is transmitted to the second gear that has a spring (not shown) that connects a wheel (black circle with the yellow dot). The user can change the spring constant, the friction and output inertia of the attached circle. Moreover, if your device has a gyro, you can turn it on and use to rotate the input gear by rotating the device. gears.pdf
		This is the window for the gears system with the plot showed up. The blue line represents the input and the red line represents the output.
This is the circuit system. It is a RLC circuit whose the input is the left voltage source and the output is the voltage in the second resistor. The input and output are connected to a virtual oscilloscope. You can change the input voltage and see what happens with the output. Since it is a RLC circuit, try to find the resonance frequency... circuit.pdf
		These are the sliders that control the circuit system. To show them, drag the screen up, they are just beneath the oscilloscope.
This is one of the windows that explains the theory that models the systems. You can access them by chosing "theory" in the menu and clicking in the corresponding button.
		This is the about window. If you want to make some comment about the app, please click in "leave me a feedback" link. You can also click in the right bar button to see a quick text about the app. There is also a cool easter egg here in this screen, can you find it? %-) about.pdf

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