# Consider the harmonic response function associated with the transfer function: G(s)=10*(s+10)/((s^2)*(s-1)*(s-5)) With reference to the Bode diagram of the asymptotic amplitudes, determine the ordinate ? of the asymptotic diagram in correspondence with the pulsation w=1rad/s. Express this value in dB (decimal notation, approximation to the fourth digit). With reference to the Bode diagram of the asymptotic phases, determine the values of the initial phase ?0 and the final phase ?f. These values must be expressed in degrees. Solutions: ?=26.0206dB, ?0= -180°, ?f=90°. The harmonic response function

The harmonic response function

The harmonic response function associated with the transfer function G(s)=10*(s+10)/((s^2)*(s-1)*(s-5)) is analysed by looking at its Bode diagrams of the asymptotic amplitudes and phases. According to decimal notation (approximation of the fourth digit), the ordinate for the asymptotic graph in correspondence to the pulse w=1rad/s was found to be 26.0206dB. Additionally, the values of the initial phase ?0 and the final phase ?f are determined to be -180° and 90° respectively (Milani, 2019; Wang, 2020). Bode diagrams showing the asymptotic phases and amplitudes provide valuable information on the harmonic response to the transfer function. They can be used to determine the ordinate?, initial phase?0, and final phase?f (Liu, Sun, 2016,; Zhou 2018,). It is possible to find the ordinate 26.0206dB at a pulsation of 1rad/s by looking at the Bode Diagrams. It is also possible to determine the initial and final phases. Cont…