“Manuf. Lett.” Conformal Aerosol Jet Printing Based on a Three-Axis Printer

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Equipment Parameters

I. Core Research Summary

This study innovatively employs a non-uniform rational B-spline (NURBS) surface‑analysis algorithm, integrated with a three‑axis aerosol‑jet printing system, to achieve high‑precision conformal fabrication of conductive circuits on freeform surfaces. The research comprehensively addresses algorithmic modeling, path generation, physical printing of curved surfaces, and comparative validation of geometric errors. The key findings are as follows:
  • NURBS-native surface path generation with no discretization error

Abandoning the STL‑based triangular mesh slicing approach, this method directly reads the native NURBS surface equations from CAD files, extracts surface coordinates and normal vectors, and continuously computes the synchronized motion trajectories along the three axes—X, Y, and Z. By avoiding the surface truncation errors introduced by mesh discretization, it significantly improves printing accuracy in regions of high curvature. Quantitative comparisons with coarse STL mesh models reveal an average surface deviation of 0.194 mm and a maximum error of 0.75 mm; by contrast, this method is free from such discretization‑induced defects.

  • Three-axis equipment enables stable conformal deposition on curved surfaces.

Leveraging the aerosol‑based 1–5 mm ultra‑large print safety margin, the system employs three‑axis synchronous dynamic adjustment of the nozzle height to maintain a constant printing distance throughout the process. This eliminates the need for five‑ or six‑axis robotic arms to orient the nozzle; standard three‑axis equipment can thus fabricate serpentine sensor circuits on uneven or curved substrates.

  • Fully Automated Integrated G-Code Generation Workflow

Input a NURBS surface model and a custom serpentine sensing pattern; the algorithm automatically partitions the print area, computes continuous motion paths along three axes, and generates machine‑readable motion code—eliminating the need for manual programming of complex surface geometries and significantly accelerating prototype development.

  • Curved-surface-stable forming circuitry using silver nanoparticle ink

Commercial silver‑nanoparticle conductive ink was used to print a conformal serpentine circuit on an SLA‑fabricated curved resin substrate. The printed traces exhibit uniform linewidth, and the film thickness remains controllable under oblique jetting, with no defects such as open circuits, ink spreading, or edge blurring.

  • A general-purpose process framework that supports a wide range of functional devices.

This path-planning framework is universally applicable and can be extended to various curved‑surface functional devices, including strain sensors, thermal‑management circuits, microfluidic electrodes, and drug‑delivery films. It is compatible with all types of aerosol‑printing inks—metallic, carbon‑based, and polymeric.

II. Core Process Advantages of Aerosol Spraying (Curved Surface Conformal Applications)

(1) Complete Three-Axis NURBS Conformal Printing Process

  • In CAD, a NURBS freeform surface model is created, and the target printing area (a local surface patch) is defined.
  • NURBS-Python parses the surface’s parametric equations and extracts global coordinates and surface normal data.
  • The algorithm generates a serpentine sensing path, dynamically synchronizes X/Y/Z‑axis displacement in real time, and maintains a constant nozzle‑to‑substrate distance of 1–5 mm.
  • Automatically converted into device‑motion G‑code and imported into the three‑axis aerosol‑jetting platform.
  • Ultrasonic atomization of silver nanoparticle ink enables uniform, conformal deposition of conductive traces on curved surfaces, with room-temperature, low-temperature curing and shaping.

(II) Five Core Process Advantages (Compared with Inkjet, Direct Write, and Five-Axis Aerosol Technologies)

  • Extra-large safety spray distance, with exceptional conformability to curved surfaces.

After aerosol‑mist beam focusing, the effective printing range is 1–5 mm; surface undulations and minor alignment deviations do not cause nozzle collisions or incomplete ink trails, whereas in contact‑type inkjet or direct‑write processes, even millimeter‑scale surface irregularities can result in broken lines and product scrap.

  • Three-axis equipment replaces high-cost multi-axis systems, leading to a sharp reduction in equipment costs.

No five-axis or six-degree-of-freedom robotic arm is required; a standard three-axis linear motion platform can accomplish conformal printing on curved surfaces, enabling small and medium-sized laboratories and enterprises to avoid substantial capital investment in equipment.

  • NURBS native parsing incurs no discretization printing errors.

Unlike STL, which introduces surface distortion and high‑curvature offsets when slicing triangular meshes, directly using a CAD‑based continuous‑surface mathematical model ensures that the print path perfectly conforms to the designed surface.

  • Non-contact oblique stable deposition, with full coverage of curved surfaces.

Aerosol‑based linear deposition enables the print head to be oriented at an angle to the curved surface (oblique printing), ensuring complete formation of arcuate and recessed areas without any loss of line integrity.

  • Digital, fully automated path generation—no manual programming required.

The imported curved‑surface model automatically generates three‑axis motion code, eliminating the need for manual point‑by‑point debugging of complex, irregular substrates and shortening new‑product iteration cycles by more than 70%.

III. Five Key Technological Innovations

Innovation 1: An innovative NURBS-surface-driven three-axis aerosol conformal printing algorithm

Industry‑wide innovation seeks to generate three‑axis synchronous printing paths directly from continuous NURBS parametric surfaces, thereby overcoming the inherent precision limitations of traditional STL‑based mesh discretization and slicing, and addressing the challenge of print misalignment on highly curved surfaces.

Innovation 2: A Constant-Interval Three-Axis Interpolation Motion Control Strategy

By leveraging the wide spray‑distance characteristics of aerosols, only the Z‑axis height needs to be adjusted to match surface undulations, while the X/Y plane moves in sync—eliminating the need for nozzle‑angle deflection and simplifying the equipment’s motion‑control logic.

Innovative 3-in-1 CAD–Path–G-code Automatic Generation Link

Build a fully automated workflow—from curved-surface modeling and region partitioning to serpentine-pattern layout and equipment motion command generation—eliminating the need for specialized motion‑programming expertise.

Innovative Mechanism for Stable Formation of Oblique Aerosol Deposition

It has been verified that aerosol-based oblique-incidence deposition on curved surfaces can still produce uniform conductive films, breaking the conventional limitation of inkjet printing requiring the nozzle to be perpendicular to the substrate and significantly expanding the range of applications for curved‑surface printing.

Innovation 5: A Standardized Framework for Universal Conformal Printing

The algorithm and aerosol‑based fabrication process are versatile, not limited to silver conductive traces; they are compatible with carbon‑based, dielectric, and bio‑inks, enabling the development of a wide range of devices for sensing, thermal management, and bioelectronics.

IV. Current Industry Challenges and Corresponding Solutions for Overcoming Them

Challenge 1: Conventional STL mesh slicing suffers from discrete truncation errors, leading to printing distortions on high-curvature surfaces.

✅ Breakthrough: Directly reads the native NURBS continuous surface equations from CAD, eliminating mesh-based approximations; the full‑domain toolpath precisely matches the design surface, eliminating millimeter‑level positioning errors.

Challenge 2: Curved-surface printing relies on a five-axis robotic arm, resulting in extremely high equipment procurement and maintenance costs.

✅ Breakthrough: Leveraging an aerosol‑based 1–5 mm safety clearance, the system requires only three‑axis coordinated adjustment of the nozzle height, eliminating the need for multi‑axis rotary mechanisms and significantly reducing equipment costs.

Challenge 3: Inkjet/direct-write contact‑type processes—any slight curvature or unevenness can cause the print head to collide, resulting in line breaks.

✅ Breaks through aerosol-based non-contact atomization deposition, featuring a wide‑pitch fault‑tolerant design that ensures substrate surface irregularities do not compromise circuit continuity, thereby significantly boosting yield.

Challenge 4: The printing path for irregular curved surfaces requires manual point-by-point programming, resulting in a lengthy development cycle.

✅ Breakthrough in fully automated NURBS parsing and code generation: imported models automatically generate three-axis motion programs, enabling rapid prototyping of complex surfaces in just a few hours.

Challenge 5: Most printing processes require the print head to be perpendicular to curved surfaces, making it impossible to form recesses or sidewalls.

✅ Overcoming the challenges of stable oblique aerosol deposition, the nozzle no longer needs to be aligned perpendicular to the substrate, enabling complete printing of conductive patterns on curved surfaces, sidewalls, and recessed areas.

V. Future Diversified Industrial Application Scenarios

  • Curved-Surface Sensor Circuit for Medical Interventional Catheters
Nuclear magnetic tracking coils and vascular pressure-sensing circuits are conformally printed directly on the outer wall of tubular catheters, eliminating the need for costly five-axis machining equipment and enabling low-cost, mass production of minimally invasive interventional devices.
  • Wearable electronic curved strain sensor
Smart wristbands, bionic skin for prosthetics with integrated curved‑substrate sensing circuits, and flexible, high‑precision surface molding that conforms to the human body’s irregular contours.
  • Aerospace Structural Health Monitoring Sensors
Conformal printing of micro‑strain arrays on the surfaces of complex composite components enables in‑situ monitoring of cracks and deformations, while achieving lightweight design without additional assembly steps.
  • Microfluidic Curved-Surface Electrodes and Biochips
Localized printing of conductive sensing layers on the inner walls of curved microchannels, enabling rapid prototyping of organ-on-a-chip devices and curved bioelectrodes for cell culture.
  • Curved Surface Thermal Management Conductive Circuitry
3C irregular-shaped heat-dissipation components, curved-surface thermal-conducting circuits for new-energy batteries, and low-resistance thermally conductive patterns fabricated via conformal aerosol printing—enhancing heat dissipation. Thermal efficiency.
Image and Text Guide

Figure 1. NURBS surface generated using the nurbs-Python library

Figure 2. Volume generated by NURBS surfaces when using an SLA printing substrate.

Figure 3. Conformal printing of a serpentine pattern. (a) Region of interest projected onto the curved surface; (b) The serpentine pattern to be printed; (c) The serpentine pattern actually printed on the curved surface using AJP technology.

Figure 4. Print bed with a zero point (indicated by the yellow arrow on the left) and the substrate aligned to it.

Figure 5. Comparison of deviations between the NURBS model (left) and the coarsely tessellated STL model (right)

Figure 6. A robotic arm with six degrees of freedom

Figure 7. Comparison of oblique deposition and surface-normal deposition in AJP

 

 

 

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