Description

Department of Mechanical Engineering

Vibration Project

Goal:

Develop, model, analyze, design, and build a mechanical vibration test setup and investigate one DOF, two DOF vibration as well as vibration absorber designs.

Introduction:

Consider a one DOF linear vibration test set up, as depicted in Figure 1 a):

Figure 1: a) Picture of 1 DOF prototype, b) schematic of 2DOF system including vibration absorber.

The linear vibrational system is composed of a slider and a track, where the slider is fixed by elastic elements (the figure shows springs, however you will be using rubber bands). The system shown in Figure 1a) is a one degree of freedom system with an eccentricity driven by a DC motor. The motor’s speed is controlled by a voltage regulator. You will be mathematically modelling this system, simulate the resulting model, construct the system based on the simulation parameters and compare the response of the constructed system with the simulation results. Following the successful construction and operation of your 1DOF system, you will design a vibration absorber that mitigates the vibration of the original sliding mass (m1) by adding a second 1 DOF system to it.

1. Develop the governing equation of motion in parametric form.
2. Find the closed form solution of the governing differential equation in parametric form.
4. Generate a complete frequency response plot (magnitude and phase).
7. Calibrate the speed control for RPM and corresponding voltage (potentiometer position). Record the response of the system and compare this response with the simulation results. Make comments on the outcome and the comparison.
9. Design a vibration absorber.
11. Build the vibration absorber and incorporate this into the vibration system.
13. Comment on the outcomes, the comparisons, the improvements or modifications, etc.

Organization:

Grades and Evaluation Criteria:

Grades are based on the accuracy and the details included in your report and your design. You will turn in a technical memorandum with all your assumptions, simplifications, calculations, simulations, and designs, experimental data, experimental outcomes, etc. attached. Do not write a project report, a concise description of your design and calculations is sufficient. The Memorandum, including the design and computations should be done in a professional manner.