- Q1 A 3 Degree Of Freedom System Is Shown Below In Figure 1 It Can Vibrate Only In The Horizontal Direction Along A Str 1 (302.81 KiB) Viewed 40 times
Q1. A 3-degree-of-freedom system is shown below in Figure 1. It can vibrate only in the horizontal direction along a straight line. There is no damping in the system. (1) Write down the equations of motion in matrix form in terms of m; (i = 1, 2, 3) and kį (i = 1, 2, 3, 4). 15 marks] (2) Suppose mi = m3 = 2 kg, m2 1 kg; and k, = k2 = k3 = k4 =100 N/m. Find out whether 9 rad/s, 10 rad/s or 11 rad/s is a natural frequency and give your reasons. Then determine the associated mode. [8 marks] a (3) Determine the other two natural frequencies of the system in 2 decimal places and show workings. [7 marks] k2 Lümümümü mi m2 Figure 1