10 equations that everyone in MEMS should know - PowerPoint PPT Presentation

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10 equations that everyone in MEMS should know

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Electrostatic force. Voltage term. Geometry term. Constant charge. Paschen curve ... Heat flow: qdot = g delta-T. Virtual work. F=-grad U. Equipartition theorem: ... – PowerPoint PPT presentation

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Title: 10 equations that everyone in MEMS should know


1
10 equations that everyone in MEMS should know
2
Hookes law F-kx
  • K 3EI/L3
  • K JG/L

3
Fluidic damping
  • Couette
  • Squeeze-film

4
Electrostatic force
  • Voltage term
  • Geometry term
  • Constant charge
  • Paschen curve

5
Newtons second Fma
  • M \fracaxb xKxF_ext
  • H(s), H(0), H(j\omega),
  • Resonance, Q

6
Heat flow qdot g delta-T
7
Virtual work
  • F-grad U

8
Equipartition theorem U1/2kBT
9
Ohms law VIR
  • Kirchoffs laws

10
QCV
  • Ceps A/d

11
Heat capacity
12
KVL and KCL
  • For electronics, fluidics, and general Lagrangian
    systems (e.g. SUGAR)

13
Conservation of energy
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