# lab 3 - The University of Texas at Arlington Mechanical and...

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The University of Texas at Arlington Mechanical and Aerospace Engineering Department Experiment Number 3 Frequency Response of a Physical System Ronnie A. Mojzis Michael Blackmon MAE 3183 Section # 002 Date performed October 20, 2004 Due Date October 27, 2004

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ABSTRACT The understanding of the frequency response of a physical system to a forcing input is a crucial part when modeling and simulating a system. Before a major system such a suspension or pipe hanger is built, the frequency response of the system must be studied to determine the type of response it will have after some conditions are force to it. This experiment will allow us to obtain knowledge of the behavior of the spring, mass, damper system (SMD). This experiment will also allow us confirm the physical evidence of the equations that are derived by the SMD. The apparatus used during the experiment allowed us to change some of the variables to conclude that there are different outputs or responses of the system when the controlling variables are changed. Using fundamental knowledge of systems modeling, spring constants and damping coefficients are determined. The first part of the experiment we tested the model of a system without a damper (dashpot) using three different springs and increasing the mass on the system after each trial. During the trial, a chart recorded the oscillation of the system from start to finish. Spring number two was used to study a over damped system with the mass- damper combination increasing the damping coefficient by a quarter turn each trial. After the three test were conducted, the printouts were analyzed and the constants determined. The results of the experiment indicate that the spring constants and the natural frequencies of an underdamped system are proportional but inversely proportional to the mass. INTRODUCTION One of the objectives of this experiment is to show the physical evidence to the theoretical derived equations for the SMD system with emphasis on the relationship of K constant and mass to frequency and damping ratio, the second objective is to determine the relationship of the damping ratio to the number of turns of the damper. The elements of the system SMD are related to the displacement, velocity, and acceleration. All of the values of the system elements can be adjusted to satisfy the required response of the system. Mass can be changed and spring constant can also be changed as well as the
damping ratio. To be able to determine the proper response of the system, to elements of the SMD need to be constant while the third one can be adjusted as needed. Fig. 1 typical representation of a SMD system

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## This note was uploaded on 06/15/2009 for the course MAE 3183 taught by Professor Staff during the Spring '08 term at UT Arlington.

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lab 3 - The University of Texas at Arlington Mechanical and...

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