Compression and Extension Rates of a Linear-piecewise Damper

Vibrations Lab Report

Summary

 

A Vehicle suspension system is a device that allows the car to compress and extend in response to road irregularities while keeping the body of the car stable. This gives the passengers more comfort along an irregular road. Dampers are used to absorb the energy of such shocks and dissipates them in the form of heat. This experiment investigates the compression and extension rates of a linear-piecewise damper when used on a mountain bike suspension. Investigations were carried on different configurations that have different speeds or compression values and the Force-Velocity and Force-Displacement graphs were determined using a Spring Dynamometer. The extension and compression rates were calculated linearly from a F-V graph and by integrating the area of a F-D graph and were then compared. It was found that finding the compression and extension damping rates using the energy dissipation method is more accurate as it considers each data rather than the linear method which takes the average best-fit line. The spring constant was found to be 69880 N/m with a discrepancy of 14% to the actual value.

 

 

Table of Contents

Summary

1.Introduction

2.Theory – Method

3.Results

3.1. Velocity-Voltage Calibration Factor

3.2. Spring Stiffness / Pre-Load

3.3. Spring – Damper Response at Different Speeds

3.4. Compression and Rebound Rates

3.5. Damper Response at Different Compression Rates

4.Discussion

5.Conclusion

6.References

7.Appendix

7.1. Appendix A – Force-Velocity Graphs Script

7.2. Appendix B – Force-Displacement Graphs Script

List of Tables

Table 1: Configurations for the different sets

Table 2:Energy Dissipated in Bound and Rebound and the respective Bound/Rebound Rates

Table 3:Compression and Extension Rates from F-V Diagram

Table 4: Summary of Bound and Rebound Rates using the two methods

List of Figures

Figure 1:Force vs Displacement and Force vs. Velocity for a Spring-Damper System

Figure 2: Schematic Diagram of Mono-Tube Damper

Figure 3: Amplitudes vs. Time for Set 2

Figure 4: dx/dt – Velocity Graph for Configuration 2

Figure 5: Force-Displacement for Configuration 1

Figure 6: Force-Displacement graphs for Configuration 1 and 6

Figure 7 (a)-(d): Force-Displacement Graph for Configurations 2-5

Figure 8(a)-(d): Force-Velocity Graph for Configurations 2-5

Figure 9: Force-Displacement for Configuration 5 and 7

Figure 10: Force-Velocity for Configurations 5 and 7

Nomenclature

CB

Freestream Static Pressure

CR

Static Pressure at the surface

ω

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