Topology Optimization of a Single-Actuator Pure Rotational Platform

Conventional dual-actuator rotational platforms exhibit actuation redundancy that compromises motion precision and increases structural complexity. This paper presents a topology optimization methodology for single-actuator pure rotational platforms to overcome these limitations. A SIMP material interpolation model integrates multi-objective functions, maximizing output rotation angle while minimizing rotational center parasitic displacement under volume fraction constraints. The Optimality Criteria (OC) algorithm was used to solve the optimization problem, with Heaviside density filtering eliminating numerical instabilities. The resulting platform achieves exceptional rotational capability (Rθ = 2.29) while maintaining ultra-low relative parasitic displacements (x: 4.96×10^–5, y: 2.20×10^–5). Parametric studies quantify the influence of volume fractions and stiffness coefficients on performance. The finite element method was employed to analyze the rotation angles and parasitic displacements of both the topology optimization platform and a traditional pure rotation platform. The comparative FEA results demonstrate the superior performance of our topology-optimized design, confirming the effectiveness of the proposed methodology.