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“Investigation of the open-loop dynamic responses using Rectilinear and Torsional Apparatuses ECP-210/205”

·        Provide a brief introduction to rectilinear and torsional apparatuses, ECP210 and ECP205. Explain the main objectives of the experiment.

 (5 marks)

·        Plot transient responses for a system ECP210 with one trolley using Matlab script “ECP_rectiliniear_data_step_input_oneTrolley.m” from the folder “Laboratory Experiments: Open-Loop Experiments with ECP210 and ECP205” on  BB ENGD3038.

NB: Enter the ‘name of file’ with the data you collected during experiment:

D = readECPdata('name of file');

(2 marks)

·          Explain trolley transient process response to the step control input. Measure the overshoot, the rise time, the settling time using functions for editing in the Matlab figure.

(10 marks)

·         Identify the physical parameters of the trolley-spring system (1DoF) using the approach described in Section 1.5

(13 marks)

·         Attach the air dashpot to the trolley and tune its valve screw to reduce the overshoot and provide critical damping to the system. Save and plot several transient processes. Give the explanation to the observed results.

(10 marks)

·         Connect a second trolley using additional spring. Apply a sine sweep control signal and run the vibration test. Plot amplitudes for two trolleys using Matlab script “ECP_sine_sweep_input_twoTrolleys.m” provided on BB (enter the file name with your experimental data). Explain the origin of two peaks in the system response.  

(10 marks)

·         Plot transient response of the torsional system ECP205 with one disk (single degree of freedom system) to the applied pulse control input using “ECP_torsional_data_processing.m”.

NB: Enter the ‘name of file’ with the data you collected during experiment:

D = readECPdata('name of file').

Explain principles of the finite difference differentiation of the transient process and action of the Batterworth digital filter “filbat.m” making derivative of the transient process less noisy. Explain the same procedures applied to the smoothed angular velocity to predict angular acceleration of the disk.  

(20 marks)

·         Identify parameters of the torsional system (the moment of inertia of the disc J, the viscose damping coefficient c, and the dry friction moment acting on the disk, Tf, using instructions given in section 2.3 of the Assignment.

(20 marks)

·         Formulate the main conclusions from the experiment.

(10 marks)