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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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A MEMS electro-mechanical co-optimization platform featuring freeform geometry optimization based on a genetic

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This study introduces a novel genetic algorithm (GA) design for microelectromechanical systems (MEMS) using freeform geometries. The method enhances MEMS accelerometer performance, achieving significant improvements in sensitivity, stability, and fabrication tolerance.

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Area of Science:

  • Engineering
  • Materials Science
  • Computer Science

Background:

  • Traditional microelectromechanical systems (MEMS) design often faces limitations in optimizing complex geometries and concurrently integrating electronic and mechanical components.
  • Achieving high sensitivity, stability, and fabrication tolerance in MEMS devices remains a challenge, impacting overall system performance and reliability.

Purpose of the Study:

  • To develop and demonstrate a novel system-level design methodology for MEMS devices using a genetic algorithm (GA) and freeform geometries.
  • To concurrently design and co-optimize electronic and mechanical parts of MEMS devices for improved performance metrics.
  • To experimentally validate the effectiveness of the proposed design approach on a MEMS accelerometer with a closed-loop control system.

Main Methods:

  • A system-level design methodology employing a genetic algorithm (GA) was developed for microelectromechanical systems (MEMS).
  • Freeform geometries were utilized to increase design freedom and explore a wider range of MEMS device configurations.
  • A MEMS accelerometer with a freeform mechanical motion preamplifier in a closed-loop control system was designed and experimentally tested.

Main Results:

  • The overall figure-of-merit (FOM) of the MEMS device was improved by 195% through the GA optimization.
  • The product of sensitivity and bandwidth in the open-loop system improved by 151%, with a 276% increase in sensitivity.
  • The closed-loop system demonstrated significant improvements, including an 86% decrease in displacement, 64% improvement in static nonlinearity, and 18.43% reduction in cross-axis sensitivity.

Conclusions:

  • The proposed GA-based design methodology effectively co-optimizes electronic and mechanical components of MEMS devices with freeform geometries.
  • The implemented closed-loop MEMS accelerometer shows substantial enhancements in performance metrics, including sensitivity, stability, and robustness to fabrication errors.
  • This work represents the first experimental implementation of a closed-loop system for a MEMS accelerometer incorporating a mechanical motion preamplifier, validating the novel design approach.