(a) An approximate frequency transfer function of a system was determined by Fourier analysis of measured excitation-response data and fitting into an appropriate analytical expression (by curve fi tting using the least squares method). This was found to be G(f) = 5/(10 + j2πf)
What is its magnitude, phase angle, real part, and imaginary part at ƒ = 2 Hz? If the reference frequency is taken as 1 Hz, what is the transfer function magnitude at 2 Hz expressed in dB?
(b) A dynamic test on a structure using a portable shaker revealed the following: The accelerance between two locations (shaker location and accelerometer location) measured at a frequency ratio of 10 was 35 dB. Determine the corresponding mobility and mechanical impedance at this frequency ratio.