Characterization of NanoG Measurement Report on Vibration Isolation of NanoG Department of Physics, University of British Columbia, Vancouver PI: Dr Yan Pennec ypennec@physics.ubc.ca Student: Vincent Wong wongwsvincent@gmail.com
SolidWorks model – NanoG Suspended by 6 isolators (Model #) Volume: 29.2827m3 Density: 2828.31kg/m3 Mass: 8.28206E4 kg %Concrete: 91.9% Young Modulus: 4.38E10N/m2 Poisson Ratio: 0.17
Concrete Block Properties Deduction from Threshold Pressure Isolator Dimension Chamber Diameter: 27.6in Total Effective Area: 598.285in2 * 6isolators Threshold Pressure: 58psi Threshold Supporting Force: 208203.15lbf Equivalent to 926133.416 N Measured Mass: 94407.076kg Measured Density: 3223.988kg/m3
Experiment Protocol - Slab Excitation Reference Accelerometer Data Point
Slab Excitation – Acceleration Amplitude Time Constant ~91ms y = A1*exp(-x/t1) + y0 y0= 0.00106 ms-2 A1= 76.47 ms-2 t1= 0.09115 s
Slab Excitation – Average PSD (1-1kHz)
Slab Excitation – Average PSD (150-450Hz) Twisting Flapping Support Compressing Bending
Resonance Mode - Twisting Mode Measured mode @ 194Hz FEA simulation @ 193Hz (1st mode in FEA)
Resonance Mode – Compressing Mode Measured mode @ 197Hz FEA simulation @ 196 Hz (2nd mode in FEA)
Resonance Mode - Bending Mode Measured mode @ 294Hz FEA simulation @ 291 Hz (3rd mode in FEA)
Resonance Mode – Bending Mode Measured mode @ 309Hz FEA simulation @ 306 Hz (4th mode in FEA)
Resonance Mode – Flapping Support Mode Measured mode @ 346Hz FEA simulation @ 338 Hz (5th mode in FEA)
Resonance Mode – Twisting Support Mode Measured mode @ 366Hz FEA simulation @ 369 Hz (6th mode in FEA)
Resonance Mode – Twisting Mode Measured mode @ 377Hz FEA simulation @ 376 Hz (7th mode in FEA)
Resonance Mode – Twisting Mode Measured mode @ 388Hz FEA simulation @ 386 Hz (8th mode in FEA)
Resonance Mode – Twisting Support Mode Measured mode @ 420Hz FEA simulation @ 415 Hz (10th mode in FEA)
Resonance Mode – Sideway Bending Mode Measured mode @ 458Hz FEA simulation @ 450 Hz (13th mode in FEA)
Damping by Isolators – x-axis acceleration amplitude Time Constant ~ 37.7s Natural Frequency ~ 0.65Hz y = A1*exp(-x/t1) + y0 y0= 6.9237E-5 ms-2 A1= 6.80057E-4 ms-2 t1= 37.74445 s
Damping by Isolators – y-axis acceleration amplitude Time Constant ~ 29.8s Natural Frequency ~ 0.65 Hz y = A1*exp(-x/t1) + y0 y0= 9.396E-4 ms-2 A1= 0.00101 ms-2 t1= 29.80841 s
Damping by Isolators – z-axis acceleration amplitude Time Constant ~ 476ms Natural Frequency ~1.3Hz y = A1*exp(-x/t1) + y0 y0= -5.08E-4 ms-2 A1= 0.03444 ms-2 t1= 0.47642 s
Transfer Function - Isolators
Transfer Function in z-axis – Room Isolation
Seismic Vibration in z-axis – velocity PSD open room
Seismic Vibration in z-axis – velocity PSD closed room (1 hour run)
Sound Pressure Level – closed room
Sound Pressure Level – Excited 22Hz 42Hz 34Hz
Acoustic Resonance Assumption: speed of sound = 350m/s Expected Resonance Mode: 3.5m -> ~50Hz 5.8m -> ~30.2Hz 7.6m -> ~23Hz 6.8m -> ~25.7Hz 8.4m -> ~20.8Hz 9.6m -> ~18.2Hz 10.2m -> ~17.2Hz