For the system given in Exercise 8.2, carry out the following: (a) determine a solution for the...

For the system given in Exercise 8.2, carry out the following: (a) determine a solution for the response of this system by using the direct approach discussed in Section 8.2.3 and (b) construct the frequency-response functions H_{11}Ω and H_{21}Ω and plot these functions as a function of the nondimensional excitation frequency Ω.

Exercise 8.2

Consider the two degree-of-freedom system shown in Figure E8.2, where m_{1} = m_{2} = 1 kg, k_{1} = 2 N/m, k_{2} =1 N/m, c_{1} = 0.4 N/m/s, c_{2} = 0.2 N/m/s, and f_{2} = f_{2}(t). Starting with Eq. (7.1b), uncouple these equations by using the modal matrix and present the uncoupled system of equations.