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Medical Instrumentation Ⅱ. -Sensor-. 동서의료공학과 2005200431 이건우. ▶ (Axial) Stress. Y. X. A = X·Y. A. M. F = MG. Fig1.1. “On the surface, the (average) force per unit area is denoted as σ . F is sometimes called ‘load’.”. : “Stress” (solid material), pressure – liquid, air …
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Medical Instrumentation Ⅱ -Sensor- 동서의료공학과 2005200431 이건우
▶ (Axial) Stress Y X A = X·Y A M F = MG Fig1.1 “On the surface, the (average) force per unit area is denoted as σ. F is sometimes called ‘load’.” : “Stress” (solid material), pressure – liquid, air … unit: [N/ ]
▶ Strain δ L F Wall Fig1.2 ε : “Strain” , unitless ( [m/m] )
▶ σ & ε curve 1. Brittle material (glass) σu rupture “Not linear over a wide range.” ε nonlinear region linear region (elastic region) σu : ultimate stress Fig1.3
▶ σ & ε curve 2. Ductile material (Al) σu σys σPl rupture σys : Yield stress σPl <σys <σu elastic region plastic region Fig1.4
▶ σ & ε curve 2. Ductile material (steel) rupture σPl elastic region Fig1.5 σ = E·ε for elastic region (linear region) (σ ≤σPl) E: Young’s modulus (modulus of elasticity)
▶ Cantilever σ = E·ε δ L F Negligible Wall £ε E: constant A&L are almost constant Fig1.6 “If you know ε, you can find force.”
L Wall “If force is applied, the subject on the cantilever is stretched.” F F = α·ε L+δ Fig1.7
▶ Strain gage Fig1.8 “A strain gage is a device used to measure the strain of an object. The gage is attached to the object by a suitable adhesive. As the object is deformed, the foil is deformed, causing its electrical resistance to change.”
Substrate Electrical wire Soldering connections Fig1.9 Strain gage Fig1.10 change of resistance
▶ Resistance L ρ A ρ : resistivity Fig1.11 “The Length is stretched, ρ ,L,A are changed. But volume is constant.” = Strain ε
▶ Poisson’s ratio, μ L D ∆L Fig1.11 D- ∆D D: diameter piezoresistive effect dimensional effect
▶ Problem sensor liquid catheter diaphragm Pi Po There are two p-type Si strain gage and two n-type Si strain gage. Strain gage’s sensitivity is . When pressure is not applied, it’s resistance is 50Ω.
▶ Answer (a) If pressure vary from 0 to 500mmHg, what is each strain gage’s resistance? ☞ p-type strain gage’s resistance : 50+ Ω ☞ n-type strain gage’s resistance : 50- Ω When pressure is not applied, it’s resistance is 50Ω. And sensitivity is . therefore,
▶ Answer (b) Draw bridge circuit. And declare each strain gage’s position. S4 S3 a b - 1V S1 S2 Vo S1 S2 + S4 S3
▶ Answer (c) Design flowing circuit. Vdc = 1V, Vo = 0~1V, Av = ? When Pressure(∆R) is zero, Vo=0V. When P=500mmHg,
Thank you for your attention! :D