Schematic of suspension method
(Click figure to enlarge)
Schematic of vibration measurement
(Click figure to enlarge)
Curve of resonant frequency
(Click graph to enlarge)
Note: oscilloscope not included
Features
Acquire resonant signal on oscilloscope
Supporting and suspending methods
High sensitivity and accuracy
Affordable
Introduction
Rigid materials respond to stress or force by deforming—whether through compression, twisting, or stretching. For many materials, the restoring force that opposes deformation and seeks to return the material to its original shape is proportional to the extent of deformation. This relationship is captured by Young's Modulus (E), a fundamental constant that measures a material's stiffness, expressed as the ratio of stress to strain under tensile or compressive forces.
The LEMI-13 Young's Modulus Apparatus offers a cutting-edge approach to studying the deformation properties of a metal round bar using the dynamic vibrational resonance method.
This method explores the vibrational behavior of a specimen, governed by a fourth-order partial differential equation. The equation reveals the relationship between the Young's Modulus and the vibration frequency of the specimen, dependent on three critical parameters: Diameter, Length and Mass of the specimen.
By accurately measuring the vibration resonant frequency and obtaining these parameters, the Young's Modulus can be determined with high precision. The apparatus supports two experimental methods: Supporting Method and Suspending Method. These methods enable the determination of resonant frequencies for three different specimens, providing a comprehensive understanding of the material's properties.
With the LEMI-13 apparatus, students can:
1. Investigate the principles of vibrational resonance in materials.
2. Measure Young's Modulus using advanced resonance techniques.
3. Understand the mathematical relationship between resonance and material properties.
4. Compare and analyze the results using different support methods.
The detailed instruction manual includes: thorough experimental setups and configurations, clear explanations of theoretical principles, step-by-step instructions for seamless experimentation, and sample results for reference and analysis.
Please click Experiment Theory and Contents to find more information about this apparatus.
Main Specifications
| Description | Specifications |
| Vibration excitation voltage | Range: 0 ~ 5 V |
| Receiving transducer voltage | Range: 0 ~ 2 V |
| Signal source output power | 600 mW |
| Frequency | Range: 200 ~ 800 Hz; accuracy: 0.1 Hz |
| Specimens | Copper, steel and aluminum bars |
Parts List
| Description | Qty |
| Test platform unit | 1 |
| Electric control unit | 1 |
| Aluminum, steel and copper bars | 1 each |
| Wire and cable | 4 |
| Manual | 1 |
Schematic of suspension method
(Click figure to enlarge)
Schematic of vibration measurement
(Click figure to enlarge)
Curve of resonant frequency
(Click graph to enlarge)
