Question

A pipe carrying steam through a section of a factory vibrates violently when the driving pump hits a speed of 300 RPM. In an attempt to suppress the pipe vibrations completely, an absorber tuned to 300 RPM is attached 4 The steam carrying pipe with the absorber in place can be modelled as shown in Figure Q4 below (a) Develop expressions for the amplitudes of the motion of the pipe and the (12) absorber masses as a function of the main system parameters (b) The absorber mass is only allowed to move 2 mm because of geometric and size constraints. If the magnitude of the excitation force is 24 N, determine the selected mass and stiffness for the absorber. (c) Explain, with the aid of appropriate diagrams, potential variations in the vibration control effectiveness of the tuned dynamic absorber, with the excitation frequency and mass ratio. 2 2 Psin(ot) ka ma Figure Q4 System Model of a Pipe Connected to a Tuned Dynamic Absorber

Answer 1

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Pagc-2 sobsbibz ce abve equton to obtun ue value s cop 다te alanber gafem bepa7e it i's attached to The and 300 3P o n The above Pan er uadion os ells

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