Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the fo

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Consider A Single Degree Of Freedom Sdof With Mass Spring Damper System Subjected To Harmonic Excitation Having The Fo 1 (59.64 KiB) Viewed 30 times

Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, fo = 5 N; forcing frequency, w = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine the response and state the condition i.e. underdamped, critically damped, or overdamped. (c) Based on your results in (a), obtain the steady-state response if the forcing frequency is reduced by 68 %. Discuss the outcome in terms of the response and its relation to natural frequency, w and the variation in forcing frequency, w. What is the phenomenon in vibration when this happen? (d) Based on your results in (c), how can the effect of vibration be reduced? (15markah/marks)