A free vibration test is being conducted on a frame system as shown in Figure 1. With a jacking…
A free vibration test is being conducted on a frame system as shown in Figure 1. With a jacking force of 90 kN applied, the frame is displaced 5 mm. Soon after jacking, the frame is released from the jack and its motion is recorded. On the first return swing after release, the frame does not come back to the release point but rather only 1 mm towards it. The time recorded between the time of release, and the first return is 1.5 seconds. For the frame system, neglecting the mass of the column : (a) Calculate the mass, m of the slab (14 marks) (b) Determine the damping ratio of the structure (14 marks) (c) Find the minimum number of full-cycles the structure needs to go through such that its deflections are reduced to no more ± 0.5 mm about its equilibrium position. (14 marks) (d) Determine whether the minimum number of full-cycles of the structure as calculated in (c) will increase, decrease or remain the same if the same jacking force is applied resulting the same initial displacement and the same displacement after first swing, however the first return period becomes 2.0 seconds. Other parameters are assumed to be unchanged. Give reasons for your answer. May 05 2022 06:27 PM
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