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생체계측 II Report #7 2005200427 송성진. Multi physics. ref. <Electric Circuit> V o l t a g e C u r r e n t C h a r g e. <Fluid Mechanics> P r e s s u r e F l o w V o l u m e. ρ is density L is length η is viscosity C is compliance. ρ is resistivity. Catheter Model.
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생체계측 II Report #72005200427 송성진 Medical Instrumentation II
Multi physics. ref. <Electric Circuit> V o l t a g e C u r r e n t C h a r g e <Fluid Mechanics> P r e s s u r e F l o w V o l u m e ρ is density L is length η is viscosity C is compliance ρ is resistivity Medical Instrumentation II
Catheter Model. We must measure pressure, Pi ! Diaphragm + Strain gage Pi -> Vi - Cable Blood vessel Po -> Vo Sensor Medical Instrumentation II
Equivalent Circuit Model. 1) 2) Medical Instrumentation II
3) Second order Ordinary Differential Equation(ODE) 4) Laplace equivalent transform Medical Instrumentation II
Damping Ratio Natural Frequency (or undamped Frequency) Medical Instrumentation II
Frequency transfer function Medical Instrumentation II
ІHІ 1/2ζ ∞ → 0 ω Wn We know that Wn is 1/root(LcCd) almost 80Hz ~ 90Hz Medical Instrumentation II
Flat (response) ІHІ 1. If ζ = 0.5 , 1/2ζ = 1 ω Wn Critical damping But, Wn isincreasing, not flat So ІHІ is decreasing Medical Instrumentation II
ІHІ 2. If ζ = 1 , 1 1/2ζ = 0.5 ω Wn Over damped It is that high frequency decreasing Medical Instrumentation II
Іvi(ј ω)І Ex) Wn is going to be more 30Hz so that amplified same magnitude. ω 30Hz If Іvi(ј ω)І Medical Instrumentation II
ІHІ • If ζ = 0.25 , Ex) 1/2ζ = 2 1 ω Wn Under damped Medical Instrumentation II
Phaser transfer graph Wn <H → ∞ ω We must regulate phase & magnitude response appropriate -π/2 -π ζ increasing -> G -> B -> R Medical Instrumentation II
Question) Why change D by jω? 1. D operation GeneralRLCCircuit d/dt Δ= D (operater) Operational transfer function Medical Instrumentation II
2. Fourier transform Medical Instrumentation II
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