Question

An internal combustion engine has a rotating cam to regulate the combustion chamber inlet and outlet valves. Due to this rotating motion a periodic force F, is generated every to period as shown on the figure below. Determine the Fourier series representation for the periodic excitation. FA 21 519 416 3 215 714 3 810 3 916

Answer 1

The periodic function is written and then the coefficient a0, am and bm are evaluated. The m represents the frequency. The Fourier series in the end can be written as the algebraic sum of a0/2, am multiplied by corresponding cos terms and bm multiplied by corresponding sine terms.

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