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Project: Simulation of the movement of an automobile engine's piston

Contents of maths: Parametrics functions, Differential and Integral Calculus, Series of functions…
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Internal Combustion Engine

Internal Combustion Engine
First activity Analysing and simulating  of the movement of an automobile engine’s piston, like the figure below, without considering friction forces.

Physical model of an automobile engine’s piston

Physical model of an automobile engine’s piston

Mathematical expressions of the physical model

Mathematical expressions of the physical model
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Second activity Simulating the thermal behavior and movement within a piston cylinder. Considering the valves closed and the displacement of the piston depends only of the movement of the crankshaft.
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Simulation of the movement of an automobile engine's piston

Third activity Develop a Geogebra applet that enables the user to find a Taylor polinomial of a function f(x). The applet should allow:
  • Type f(x);
  • Change the order of the Taylor polynomial;
  • Change the center of the series

Taylor polinomial of a function f(x)