Characterization of Omega Pod Measurement Report on Vibration Isolation of Omega Pod Department of Physics, University of British Columbia, Vancouver PI: Dr Yan Pennec ypennec@physics.ubc.ca Student: Vincent Wong wongwsvincent@gmail.com
SolidWorks model – Omega Suspended by 6 isolators (Model #) Volume: 15.0087m3 Density: 2828.31kg/m3 Mass: 4.24493E4 kg %Concrete: 91.5% Young Modulus: 4.45E10N/m2 Poisson Ratio: 0.17
Concrete Block Properties Deduction from Threshold Pressure Isolator Dimension Chamber Diameter: 15.7in Total Effective Area: 193.593in2 * 6isolators Threshold Pressure: psi Threshold Supporting Force: lbf Equivalent to N Measured Mass: kg Measured Density: kg/m3
Experiment Protocol - Slab Excitation Reference Accelerometer Data Point
Slab Excitation – Acceleration Amplitude z-axis damping for the slab Time Constant ~124ms y = A1*exp(-x/t1) + y0 y0= -0.12578 ms-2 A1= 239.81654 ms-2 t1= 0.12401 s
Slab Excitation – Average PSD in z-axis (0-1kHz)
Slab Excitation – Average PSD in z-axis (200-450Hz) Twisting Flapping Support
Modal Resonance - Twisting Mode Measured mode @ 210Hz FEA simulation @ 212Hz (1st mode in FEA)
Modal Resonance- Bending Mode Measured mode @ 293Hz FEA simulation @ 291Hz (2nd mode in FEA)
Modal Resonance - Flapping Support Mode Measured mode @ 385Hz FEA simulation @ 377Hz (4th mode in FEA)
Modal Resonance - Measured mode @ 396Hz FEA simulation @ 401Hz (6th mode in FEA)
Modal Resonance - Measured mode @ 412Hz FEA simulation @ 415Hz (8th mode in FEA)
Damping by Isolators – x-axis acceleration amplitude Time Constant ~8.69s Natural Frequency ~0.81Hz y = A1*exp(-x/t1) + y0 y0= 1.0799E-4 ms-2 A1= 0.00242 ms-2 t1= 8.686 s
Damping by Isolators – y-axis acceleration amplitude Time Constant ~11.5s Natural Frequency ~0.96Hz y = A1*exp(-x/t1) + y0 y0= 0.00124 ms-2 A1= 0.0053 ms-2 t1= 11.48427 s
Damping by Isolators – z-axis acceleration amplitude Time Constant ~1.75s Natural Frequency ~1.29Hz y = A1*exp(-x/t1) + y0 y0= 7.8E-4 ms-2 A1= 0.00236 ms-2 t1= 1.74996 s
Transfer Function in z-axis - Isolators
Transfer Function in z-axis – Room Isolation
Seismic Vibration in z-axis – velocity PSD open room
Seismic Vibration – velocity PSD closed room (1 hour run)
Sound Pressure Level – closed room
Sound Pressure Level – Excited 24Hz 40Hz 30Hz
Acoustic Resonance Assumption: speed of sound = 350m/s Expected Resonance Mode: 3.5m -> ~47Hz 3.8m -> ~43Hz 4.6m -> ~38Hz 5.2m -> ~33.7Hz 5.8m -> ~30.2Hz 6.0m -> ~29.2Hz 6.9m -> ~25.4Hz