# Novel Vibratory Mechanism Designs for Vibrations and Controls Laboratories

## Disciplines

Acoustics, Dynamics, and Controls

## Abstract (300 words maximum)

The study of machine dynamics, vibrations and control theory are essential courses for mechanical engineering students. The general objectives of these three related courses are mainly to model, analyze, simulate and control the oscillatory response. The key element that makes the theoretical understanding of the courses difficult is the conceptual models used to represent the device, machine or mechanism. Therefore, the mathematical model of the systems should provide a good correlation between the experimental system and the simulated model. The applications of the theoretical concepts are mostly demonstrated in laboratories. The number of equipment, sensors, and the tools made available to students is limited due to their cost. This study proposes novel low cost, interchangeable, compact, small scale, flexible and rigid oscillatory mechanisms produced by 3D printing to be employed in vibrations and control labs. The proposed mechanisms allow students or the instructor to change the equivalent stiffness, damping or the inertia of the system to observe the effect of the modified parameter on system response. The equations of motion of each mechanism is derived, Matlab gui code is written for visualization purposes, and a Matlab Simulink model is created to compare the actual and the simulated outputs. Free vibration experiments are conducted to find the parameters of the system and forced vibrations (employing DC motor, magnetic actuation, pulley-weight system, and cam designs) are used for control applications and the frequency analysis.

## Academic department under which the project should be listed

SPCEET - Mechanical Engineering

Dr. Ayse Tekes

## Share

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Novel Vibratory Mechanism Designs for Vibrations and Controls Laboratories

The study of machine dynamics, vibrations and control theory are essential courses for mechanical engineering students. The general objectives of these three related courses are mainly to model, analyze, simulate and control the oscillatory response. The key element that makes the theoretical understanding of the courses difficult is the conceptual models used to represent the device, machine or mechanism. Therefore, the mathematical model of the systems should provide a good correlation between the experimental system and the simulated model. The applications of the theoretical concepts are mostly demonstrated in laboratories. The number of equipment, sensors, and the tools made available to students is limited due to their cost. This study proposes novel low cost, interchangeable, compact, small scale, flexible and rigid oscillatory mechanisms produced by 3D printing to be employed in vibrations and control labs. The proposed mechanisms allow students or the instructor to change the equivalent stiffness, damping or the inertia of the system to observe the effect of the modified parameter on system response. The equations of motion of each mechanism is derived, Matlab gui code is written for visualization purposes, and a Matlab Simulink model is created to compare the actual and the simulated outputs. Free vibration experiments are conducted to find the parameters of the system and forced vibrations (employing DC motor, magnetic actuation, pulley-weight system, and cam designs) are used for control applications and the frequency analysis.