A novel framework for high-speed cam curve synthesis: piecewise high-order interpolation, pointwise scaling and piecewise modulation

Abstract

This study proposes a novel mathematical framework for optimal synthesis of high-speed cam curves, comprising three key aspects: piecewise high-order interpolation (PHOI), pointwise scaling and piecewise modulation. In this framework, PHOI is responsible for constructing a smooth and faithful cam curve under multiorder motion constraints (including displacement, velocity, acceleration and jerk), and pointwise scaling and piecewise modulation are further introduced for optimal tuning of nodal and internodal motion parameters. Mathematically, the combination of PHOI, pointwise scaling and/or piecewise modulation will enable a full and direct control of local/global motion parameters for enhanced high-speed performance of the synthesized cam curve. Concerning the validation of this framework, three detailed numerical examples (curve reconstruction, kinematic and dynamic optimizations) are performed. The excellent interpolation accuracy of PHOI, improved motion continuity by pointwise scaling, lowered motion peaks by pointwise scaling and piecewise modulation, and reduced dynamic error of the optimized cam curve collectively demonstrate the effectiveness and versatility of the proposed framework in data-driven reconstruction and application-oriented optimization of high-speed precision cam profiles.