A simple and versatile topology optimization formulation for flexure synthesis
This work addresses the need for a generally accepted, easy-to-use, and versatile topology optimization method for flexure synthesis in academia and industry, though it appears incremental as it builds on classic compliance minimization.
The study tackled the challenge of designing short-stroke flexures for high-tech equipment by proposing a novel topology optimization formulation based on strain energy measures, resulting in a self-adjoint problem with implementation simplicity, computational efficiency, and versatility demonstrated through numerical examples.
High-tech equipment critically relies on flexures for precise manipulation and measurement. Through elastic deformation, flexures offer extreme position repeatability within a limited range of motion in their degrees of freedom, while constraining motion in the degrees of constraint. Topology optimization proves a prospective tool for the design of short-stroke flexures, providing maximum design freedom and allowing for application-specific requirements. State-of-the-art topology optimization formulations for flexure synthesis are subject to challenges like ease of use, versatility, implementation complexity, and computational cost, leaving a generally accepted formulation absent. This study proposes a novel topology optimization formulation for the synthesis of short-stroke flexures uniquely based on strain energy measures under prescribed displacement scenarios. The resulting self-adjoint optimization problem resembles great similarity to classic compliance minimization and inherits similar implementation simplicity, computational efficiency, and convergence properties. Numerical examples demonstrate the versatility in flexure types and the extendability of additional design requirements. The provided source code encourages the formulation to be explored and applied in academia and industry.