Final Project · Experimental Analysis
DYNAMIC ANALYSIS OF SDOF STRUCTURE
Scaled Model · Vibration Testing · Energy Dissipation Device
Course: Dynamics and vibrations
Project Summary
Experimental analysis of a reduced-scale single-degree-of-freedom (SDOF) structure, focusing on its dynamic properties under vibrations induced by a shake table. Natural frequency, damping ratio, and resonance behavior were identified and measured. A friction-based energy dissipation device was designed and implemented to mitigate excessive vibrations, comparing structural response with and without the dissipator.
2.47 Hz
Natural Frequency
0.404 s
Natural Period
123.55 N/m
Stiffness (ke)
0.512 kg
Total Mass
Jhon Umasi Huisa · Theoretical Analysis & FFT Processing
Gherson Velasquez · Experimental Setup & Data Collection
Elmer Dávila · Dissipator Design & Implementation
Raúl Velasquez · Results Validation & Report
Theoretical Analysis
- Moment of Inertia (Ix): 6.011×10⁻¹³ m⁴
- Equivalent Stiffness (ke): 123.55 N/m
- Natural Frequency (ωn): 15.53 rad/s
- Cyclic Frequency (fn): 2.471 Hz
- Natural Period (Tn): 0.4046 s
Experimental Results
- FFT Analysis fn: 2.475 Hz (average)
- Damping Ratio (ζ): 6.6% to 11.2% (varies with amplitude)
- Resonance detected at: ~2.47 Hz ✓
- Dynamic Amplification Factor: Matches theoretical prediction
- ✓ Experimental validation of mathematical model
Energy Dissipator Performance
- Device Type: Resilient Slip Friction Joint (RSFJ)
- Configuration: Spring-model gravity pendulum
- At 2.0 Hz: Significant amplitude reduction ✓
- At 2.5 Hz (near resonance): No structural failure ✓
- Limitation: Single dissipator caused vertical drift deviation
DOWNLOAD FULL REPORT
Full report includes: theoretical calculations, FFT analysis, damping ratios, and dissipator performance evaluation