An underdamped SDOF system (S= 0.02) is subjected to the periodic excitation shown in the figure below, where T =1 s.www. • Express the given excitation in terms of Fourier

series.(P(t)/po) as a function of time for t 0 to 4s, by keeping 3, 5, 10, 20, or more terms.Comment on what you observe.Then plot the excitation • Express the response of the system also in terms of Fourier series, and plot the response for a system whose natural period is Th = 0.5 s. Discuss the results (plot by keeping various terms in the Fourier series; try to find the dominant term).