Nonlinear analysis of thermally and electrically actuated functionally graded material microbeam.

Area of Science:

• Solid Mechanics
• Materials Science
• Nanotechnology

Background:

• Microbeams are crucial in microelectromechanical systems (MEMS).
• Functionally Graded Materials (FGMs) offer tunable properties.
• Thermal loading effects on microbeam behavior require detailed analysis.

Purpose of the Study:

• To analyze the pull-in voltage of FGM microbeams under thermal loads.
• To investigate the influence of microbeam size, electrostatic gap, and temperature on performance.
• To consider Casimir, van der Waals, and electrostatic forces, including fringing effects.

Main Methods:

• A unified treatment of FGM microbeams with varying thermal conductivity.
• Integration of the steady-state heat conduction equation for non-uniform temperature fields.
• Application of the modified couple stress theory to incorporate material length-scale parameters.
• Utilizing the differential quadrature method to solve nonlinear governing equations.

Main Results:

• Pull-in voltage is highly dependent on the temperature field and its gradient.
• Thermal loading can actuate FGM microbeams without applied voltage.
• Non-uniform temperature fields are more effective actuators than uniform fields for cantilever microbeams.
• Uniform thermal loading reduces pull-in voltage across all analyzed boundary conditions.

Conclusions:

• Temperature fields play a critical role in the electrostatic actuation of FGM microbeams.
• Design considerations for microbeams must account for thermal loading effects, especially for clamped-clamped configurations.
• The study provides a comprehensive understanding of thermal-electrostatic coupled behavior in FGM microbeams.