• A novel machining strategy for hierarchical micro/nanograting structures is developed via tool trajectory control, enabling fabrication of optical variable devices (OVDs).
• A coupled Euler-Lagrange finite element model accurately simulates the machining process, revealing that increasing tool edge radius reduces nanograting height.
• Array overlap machining with optimized coding schemes achieves high-quality OVDs, successfully coloring metal surfaces (e.g., aluminum alloys) with intricate logos.
• The proposed method offers a practical, scalable approach for producing structural colors and anti-counterfeiting features, advancing precision manufacturing.
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