VM223

VM223
Electro-Thermal Microactuator Analysis

Overview

Reference:Mankame, N. D., & Ananthasuresh, G. K. (2001). Comprehensive thermal modeling and characterization of an electro-thermal-compliant microactuator, 11, Journal of Micromechanics and Microengineering, 252-262.
Analysis Type(s):Static
Element Type(s):
3D 10-Node Coupled-Field Solid (SOLID227)
KEYOPT(1) =111
Input Listing:vm223.dat

Test Case

The actuator silicon structure has a thin arm connected to a wide arm, flexure, and two anchors as shown in the figure below. In addition to providing mechanical support, the anchors also serve as electrical and thermal connections. The actuator operates on the principle of differential thermal expansion between the thin and wide arms. When a voltage difference is applied to the anchors, current flows through the arms producing Joule heating. Because of the width difference, the thin arm of the microactuator has a higher electrical resistance than the wide arm, and therefore it heats up more than the wide arm. The non-uniform Joule heating produces a non-uniform thermal expansion, and actuator tip deflection.

Figure 369: Electro-Thermal Microactuator Sketch

Electro-Thermal Microactuator Sketch

Material PropertiesGeometric PropertiesLoading
Young's modulus: 169.0 (Gpa)
Poisson ratio: 0.3
Electrical resistivity: 4.2e-4 (Ohm m @ T = 300K)
Coefficient of linear expansion [alpha, μmm1 K1] and thermal conductivity [k, W, m1, K1] with temperature [T, K]:
alphakT
2.568146.4300
3.21298.3400
3.59473.2500
3.83157.5600
3.98749.2700
4.09941.8800
4.18537.6900
4.25834.51000
4.32331.41100
4.38428.21200
4.44227.21300
4.50026.11400
4.55625.11500
Microactuator dimensions (m):
d1 = 40e-6
d2 = 255e-6
d3 = 40e-6
d4 = 330 e-6
d5 = 1900e-6
d6 = 90e-6
d7 = 75e-6
d8 = 352e-6
d9 = 352e-6
d11 = 20e-6
Applied voltage drop of 15.0 V

Analysis Assumptions and Modeling Notes

A 3D static structural-thermoelectric analysis is performed to determine the tip deflection and temperature distribution in the microactuator when a 15 volt difference is applied to the anchors. Radiative and convective surface heat transfers are also taken into account, which is important for accurate modeling of the actuator. MPAMOD,1,0 is added to convert the temperature-dependent secant coefficient of thermal expansion from definition to reference temperature.

Results Comparison

 TargetMechanical APDLRatio
Tip Transverse Displacement UY0.2700E-040.2711E-041.004

Figure 370: Displacement Magnitude Plot

Displacement Magnitude Plot

Figure 371: Temperature Plot

Temperature Plot