# Rose-Hulman ECE 520 - Time and Frequency Domain Modeling of One Degree of Freedom Systems (11 pages)

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## Time and Frequency Domain Modeling of One Degree of Freedom Systems

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## Time and Frequency Domain Modeling of One Degree of Freedom Systems

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Pages:
11
School:
Rose-Hulman Institute of Technology
Course:
Ece 520 - Discrete-Time Control Systems
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ECE 520 Lab 1 Time and Frequency Domain Modeling of One Degree of Freedom Systems Overview In this lab you will be modeling two one degree of freedom systems using time domain analysis and frequency domain analysis You will model one rectilinear system and one torsional system The steps we will go through in this lab are very commonly used in system identification determining the transfer function of unknown systems We will utilize these models in later labs so do a good job in this lab your results in later labs will be affected by how well you perform in this lab Background A one degree of freedom rectilinear mass spring damper system x1 t k1 k2 m1 F t c1 or a rotational mass spring damper system can be modeled as G s K 1 2 2 s s 1 2 n n Here K is the static gain n is the natural frequency and is the damping ratio These are the parameters we need to determine for these models You will need to set up a folder for Lab 1 and copy all files from the class website into this folder Be sure to write the lab station you will be using on the front board Part A One degree of Freedom Rectilinear Systems You need to fill out the data sheet indicating each configuration on the last page of the lab and turn it in Be sure to load the correct controller personality file for the ECP system and reset the controller Step 1 Set Up the System Only the first cart should move all other carts should be fixed You need to have at least one spring connecting the first cart to the second cart you may also have an additional spring between the motor and the first cart and at least two masses on the cart If you use a damper be sure the damper screw is completely removed so you will be able to duplicate this result If you use two springs the stiffer of the two springs should be between the first cart and the motor Be sure you write down all of the information you need to duplicate this configuration Step 2 Log Decrement Time Domain Estimate of and n As you recall the log decrement method is a

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