D2: SECOND ORDER SYSTEM RESPONSE - SYSTEM DYNAMICS - Coursework Example

The area of study of System dynamics entails the behaviour of suspensions units; loudspeaker cones and more generally, structures, hydraulic systems and many others can be predicted using a system modelling approach. This approach will be utilized within the experiment to study the behaviour of a second-order mechanical system, and essentially the general procedure (Seeler, 2014). The general procedure for solving second-order mechanical systems problems entails formation of mathematical model of the system, prediction of the behaviour of the system using the model and comparison of the predicted with the actual behaviour.

As the damping ratio escalates, the prevailing amplitude of the frequency response reduces. This implies that small alteration in damping ratios results in corresponding small alterations in amplitude (Seeler, 2014). Moreover, when the systems are overdamped, the underlying shape of the amplitude response curve alters from the convex to concave. Due to the absence of smoothness, the entire shape of the curve is identical to the theoretical plotting of FRF amplitude plots. There was correspondence amidst the experimental curves of phase.

Phase Curve was best amidst 1 to 5Hz and 6 to 8Hz. Nevertheless, the agreement does not match because of the numerous noise within the phase graph, which was common to the prevailing results for the experiments. Since the phase curve is good, step sine model is the best representation of the system (Seeler, 2014). Phase curves do intersect at the common phase of –π/2 rad because of the noise within the phase graph, which was common to the prevailing results for the experiments (Lobontiu, 2010).

Since the phase curve is good, step sine model is the best representation of the system. Increasing the system’s mass relatively lower the natural frequency of the system and increases the amplitude of the response. Moreover, when the