Generalized element-node complete model and its implementation for the optimal design of a piezo-actuated compliant...

Area of Science:

• Mechanical Engineering
• Robotics
• Materials Science

Background:

• Compliant amplification mechanisms are essential for increasing the stroke of stacked piezoelectric actuators.
• Accurate modeling of static and dynamic performances is critical for designing complex compliant mechanisms.

Purpose of the Study:

• To propose a novel modeling method for spatial compliant mechanisms, encompassing complete kinetostatics and dynamics.
• To establish a versatile stiffness model for flexure hinges with arbitrary notch shapes.

Main Methods:

• Generalizing the planar element-node model-based finite element method (FEM).
• Developing a force equilibrium model for flexure hinge stiffness.
• Applying the generalized model to a dual-stage amplification compliant mechanism.

Main Results:

• The proposed method accurately models spatial compliant mechanisms' kinetostatics and dynamics.
• Maximum modeling error for kinetostatics and the first six resonant frequencies is less than 20%.
• Optimization and performance tests on a prototype demonstrate the method's effectiveness.

Conclusions:

• The developed modeling method provides accurate predictions for compliant amplification mechanisms.
• The approach facilitates optimal design and enhances the performance of piezoelectric actuator systems.