Finite Element Analysis of Nylon Based 3D Printed Autonomous Underwater Vehicle Propeller

Abstract

The recent developments in the additive manufacturing to manufacture complex cost effective profiles is gaining popularity to test the strength of developed products through finite element method (FEM). Finite element analysis (FEA) is a potent tool for mechanical analysis. The combination of 3D printing and FEA is opening new opportunities to go further in the complexity of the product geometry. The autonomous underwater vehicle (AUV) propeller blade has a complex profile with multi-directional gradient and twist, which requires a multi-stage operation to manufacture, including the hubs. The AUV propeller is required to withstand the applied load and generate the required thrust to move AUV at the desired speed. The current study explores the performance of AUV propeller prepared by additive synthesis using Nylon 6 material. The design of the propeller blade was developed using SOLID WORKS and integrated to the CUBPRO (DUO) to obtain the required 3D printing parameters. A comparative investigation is made for Nylon material within the dimensional conformance with the 3D printed propeller blade. The stress-strain analysis of the Nylon AUV propeller is carried with the FEM. The analysis of error and the stress show that the Nylon material meets the performance criteria for AUV propeller.

Keywords:
Nylon; Additive Manufacturing; FDM; AUV Propeller; FEM

1. Introduction

Development of modular propeller blades for an autonomous underwater vehicle (AUV) with conventional methods are laborious, time-consuming, and result in excessive material wastage. Manufacturing of complex profile with conventional manufacturing techniques has several limitations. To meet the current market demand, changes in the design is a routine exercise. It is cumbersome to make changes in the design of a product due to the cost of tooling and multiple stages of manufacturing in conventional manufacturing processes. The additive manufacturing (AM) is successfully used in making sophisticated and complex products with a high degree of dimensional stability. 3D printing (3DP) is a technique of AM. A few products popularly made by AM are biomedical instruments with relatively versatile profiles^1,2 and microfluidic products³. The AM is a flexible process capable of developing extremely complex profiles and geometries with a variety of materials like metals, polymers, ceramics, etc.⁴. Researchers and engineers have successfully used different AM methods to develop a variety of products. A few widely used AM processes are Selective Laser Sintering (SLS)^5-7, Fused Deposition Modelling (FDM)⁸, Stereolithography^9-11, etc.

In FDM, extrusion of a semi-molten state string is done in a thermo-plastic state. As the material ejects from the nozzle, it is deposited in layers on a substrate to develop the desired shape according to the geometrical details of the model generated by Computer-Aided Design (CAD)¹². The deposition of the layer by layer material is continued in steps until the desired thickness is achieved. The substrate, which is also known as the base plate, is lowered by a fixed value after each step to enable the deposition of the subsequent layer¹³. The 3D computer aided design (CAD) model is hence printed by FDM easily and quickly¹⁴. A few challenges in the development of the product by FDM include the precise process control to obtain accurate dimensions of the part, the level of interlayer bonding, and printing defects such as porosity, under/mis-extrusions airgaps, and smooth laminar deposition of the material, etc. The minor error in the process control may lead to micro-gaps in part due to air entrapment. The problem of air entrapment may be removed during the heat treatment of the part by incorporating the microspheres, which are expanded in response to the heat treatment and arrest the air gaps^15-17. Optimum process control and printing in a controlled environment are effective to address these challenges.

In the Stereolithography process, a low-intensity laser is employed to cure the photosensitive liquid resin and make it hard layer-by-layer, as it is deposited. The final shape of the part is exactly as per the geometry of the CAD model. The two main issues observed in the Stereolithography process are inferior mechanical properties and the time consumed in curing¹⁸. SLS is another popular AM technique, which has three mechanisms of binding the materials, namely, full melting, solid-state sintering and liquid phase sintering. In SLS, the raw material may be a metal, polymer, resin or powder. The raw material is exposed to high-intensity directional heating resulting in its full or partial melting and fusion to take the shape of the 3D model^19,20. Rapid tooling and producing components with complicated geometries according to the CAD model is possible with 3DP. A range of raw materials can be transformed into products with 3DP. It is becoming a versatile technique to develop intricate shapes, day-by-day. The developed products must be tested for strength either by experimental methods or by any proven simulation technique. However, the flexibility provided by 3DP to develop a realistic model with any imagination puts restrictions on the experimental testing ability of the model. This difficulty can be easily addressed by FEA where the task is further simplified since the same geometric model can be used for 3DP as well as the FEA. Thus, the combination of 3DP and FEA has huge implications on the design and developments of future products.

The propeller of AUV has a complicated geometry. The engineers and researchers have developed complicated profiles of products such as aero foils, propellers, turbine blades, etc. with many methods, but these involve a series of stages and are quite time-consuming. These stages are labor-intensive and also result in poor quality control and increased cost. The 3DP may be a more suitable technique than the conventional manufacturing processes to develop its complex shape. In a study, Khaleed et al.²¹ suggested a five-stage cold forging process to optimize the size of a preform for complex AUV propeller. This process was both costly and time-consuming. Recent study²² suggested that the complex shape of AUV propeller can be developed through 3DP. Thus this field is open to be utilized even to prepare intricate profiles of underwater vehicles. However, the search for materials that can withstand the high pressure arising at the propeller blades as well as that can resist the corrosive characteristics of seawater would motivate future research. Khaleed et al.²³ developed propeller blades using AISIAL6061 as the workpiece material and die steel (AISID2) as the die material to obtain the optimum workpiece dimensions. The modelling and simulations were performed on SOLIDWORK SSP47.2007 and DEFORM-F33D, respectively.

Samad et al.²⁴ worked on a modular approach to enhance the manufacturability of AUV propeller parts and to simplify their configurations. The error assessment in cold forged part is essential because of the spring back action of aluminium material²⁵. Abbot et al.²⁶ worked on 3DP, which has grown tremendously over the past few years and continues to do so as the industry grows with new technologies. To perform FEA analysis, the Autodesk Inventor was used, and the comparison was made among the simulated and experimental test results, but the results were contrasting²⁶. Żur²⁷ presented the FEA of PLA based 3DP parts and performed shape optimization. The static bending test was carried out, followed by FEA on Siemens NX software with Nastran module of FEM analysis. The weight of the blades was successfully reduced at the optimized shape to withstand applied forces from theoretical, simulation, and experimental observation. Cojocaru²⁸ analyzed infill matrix for the internal volume because infill matrix can have different geometries and different degrees of filling by the FEM. The stresses and deformations appear in a sample with a rectilinear infill. The influence of infill parameters on the mechanical properties of the parts was studied using eighteen distinct geometries. FEM is an effective and reliable tool for stress analysis in isotropic, orthotropic, and composite materials²⁹.

Nylon seems to have both of these properties along with its easy to use characteristics for 3DP. Thus, the current work aims to test the capability of 3D printed AUV propeller made from Nylon 6. In this exploratory study, modular AUV propeller has been developed with AM using FDM, which is suitable for short lead time and cost-efficient prototypes³⁰. The propeller blade is analyzed for strength and stress-strain distribution by FEA.

2. Methodology

(A) Solid Modelling and analysis of AUV propeller blade

Designing of the AUV propeller is the challenging task since propeller blades have a very complex profile. A 3D CAD model with hexahedron free mesh configuration was developed using SOLID WORKS SP47 to ensure mesh independence in the propeller blades for AUV²². For the analysis of the metal forming process and the temperature raised during the forming process, DEFORM-F33D simulation tool was used. Nylon (polyamide) is used in the automobile industry in making structural components such as door handles, consoles, radiator grills etc. Other applications of Nylon are in making engineering products, namely, gears, joints, pedals, covers, underwater pipes, agricultural fittings, and fasteners. Good tensile and impact strengths, resistance to chemicals and corrosion, and compatibility with 3DP makes it a suitable material for FDM of engineering products. Among different types of Nylons, Nylon 12, Nylon 6/6, and Nylon 6 were considered as a candidate material for FDM. The properties of Nylon 6 and Nylon 6/6 are nearly the same, and Nylon 6 was introduced as a new FDM material by Stratasys Inc. in 2016. On comparing the key mechanical properties of Nylon 6 with Nylon 12, it was revealed that the Nylon 6 has complete dominance over Nylon 12. It has about 50% higher tensile strength, 8% higher elongation, 80% higher elastic modulus, 60% high flexural strength, 80% high flexural modulus, 67% high impact strength, and 10% higher creep resistance³¹. Nylon 6 is resistant to brine, it can withstand high pressure, and it offers a combination of good tensile properties with toughness, so it was selected as the material for FDM filament. Nylon 6 filament roll having a fixed diameter of 0.7 mm and weight per roll 650 gm, purchased from 3D system CUBEPRO DUO was used as the feedstock. The properties of Nylon 6 are given in Table 1.

Table 1
The properties of Nylon 6.

Category	Property	Value
General	Density	1.13 g/cm3
	Ultimate Tensile Strength	82.68 MPa
	Yield Strength	82.75 MPa
Stress	Elastic Modulus	2.93 GPa
	Modulus of Shear	1.08519 GPa
	Poisson's Ratio	0.35

The FEA of the blade was done to analyze the strength of the blade using the Autodesk Inventor module, which has the properties of Nylon 6 in its data bank. The load applied on the surface of the blade was 1.5 kN while its tail end in all the directions was constrained. The analysis carried out was anisotropic due to the nature of the 3DP blade. After the FEA results were found satisfactory, the 3D model was transformed into the 3DP machine CubePro DUO, supplied by 3D Systems Inc., shown in Figure 1. To ensure the proper deposition, complete fusion and eliminate the possibility of air entrapment, the 3DP machine configuration was carefully selected as given in Table 2. A layer resolution of 200 μm was maintained. 3DP was done in a closed chamber to reduce any chances of contamination or porosity.

Figure 1
Picture of the CubePro Duo FDM based 3D printer made by company 3D Systems, while the blades are being printed.

Table 2
The 3DP Machine configuration.

Parameter	Description
Maximum build size	242.9 mm (w) x 270.4 mm (l) x 230 mm (h)
Mode	Custom
Layer resolution	200 μ
Print strength	Solid
Print pattern	Diamond
Print material	Nylon
Support material	Nylon
Sidewalk material	Nylon
Fill spacing	2 mm
Sidewalk distance	3 mm
Sidewalk layers	2
Sidewalk offset	0.15 mm

(B) Procedure for 3DP of AUV propeller blade by FDM

The 3DP process in FDM was accomplished in three stages. Stage one included the pre-processing. In this stage, the 3D CAD model in the SLDPRT format was saved. The .STL (Standard Tessellation Language) was prepared to convert the file format received from CAD model and the printer was configured with a proprietary BUILD file *.cubepro, exported to the 3DP machine. Stage two included the command-based decisions, on the part material, support material and configuration, and the resolution and strength of the print. The 3DP machine was configured, and a built plate (substrate) consisting of two layers, the top layer or print pad (polymer) sitting over a glass base was prepared. The platform was levelled and glued, and the 3DP process was executed thereafter³². Stage three was the post-processing where the supports were removed, and the 3DP part was extracted from the platform. There were some irregularities in the part, such as the layer lines, roughness, etc., which were removed, and the 3DP part was smoothened. The 3DP configuration settings include nozzle diameter of 0.7 mm, extruder temperature of 230 ^oC, platform (bed) temperature between 35-40 ^oC, depending on the ambient temperature, and print speed of 15 mm/s.

(C) Profile comparison and error measurement

The comparison of the profile of the model and the 3DP part was made to determine any deviation or error in the profile. Visual inspection is the first step in this process to ensure the uniformity and integrity of the part and to ascertain that the part is free from any visible defect. To check the dimensional conformity of the 3DP blade, it was compared with the CAD model, followed by a two-step quality control process. Firstly, the cross-section of the 3DP blade was analyzed using ImageJ image-processing software. Later, the area and perimeter of the part were physically measured and compared with that of the 3D model. Inclusion of pores in the material during the 3DP process may result in the reduction in density. To determine the integrity of the 3DP material, the density of 3DP blades was determined using the weight loss method and compared with the theoretical density of the Nylon 6.

3. Results and Discussion

(A) FEM analysis

The conventional materials used for making the AUV propeller are Aluminium alloys and Cast iron. But despite the addition of corrosion-resistant materials and coatings, the corrosive degradation of the propeller is common³². A simplified FEA model was analyzed to a single orientation of the blade. The boundary conditions applied in FEM analysis in the INVENTOR package on the propeller blade are shown in Figure 2. As expected, it may be observed that maximum stresses accrued at the fixed end, while maximum displacement is at the anterior end.

Figure 2
Boundary conditions applied to the model of the blade.

The distribution of stresses in the blade is shown in Figure 3a for the applied load. The stress and strain are in the permissible range. The maximum stress is 5.77 MPa which appears in a small section of the blade, shown in the inset in Figure 3a. Therefore, it has conclusively emerged that 3DP Nylon blade is safe since its yield strength given in Table 1 is much higher. The maximum stress is only 7% of the yield strength of Nylon. The analysis of stress at this blade orientation indicates that the stresses are expected to be within the endurance limits of the blades in other orientations as well. The deflection of the blade under the applied loads is shown in Figure 3b. The maximum deflection is determined as 0.01387 mm at the anterior end of the blade, which is as per the expectation since the other end of the blade was fixed. This maximum deflection is well within the permissible range as per the properties of Nylon 6. The error estimated by Equation 1 is 10.5%, which is acceptable.

$\delta B=W{L}^3/6EI$ (1)

In Equation 1, δB is the deflection, W is the load applied on the blade, L is the length of the blade, I is the moment of inertia, and E is the elastic modulus.

Figure 3
(a) Stress contours and Von Mises stress distribution in the blade. (b) The deflection of the blade under the applied loads.

(B) FDM process

The three 3DP blades were assembled with the hub to make the AUV propeller. Modular blades and the hub is shown in Figure 4. In an earlier study²², the AUV propeller was manufactured in five stages, shown in Figure 5. In contrast, in the present study, the 3DP AUV propeller is made in one single operation with ease using FDM, compared with the conventional method. The conventional method includes more time, material wastage, the skill of machinist, and is a labor-intensive process. This results in higher costs with inferior quality. On large scale production and rapid prototyping, the FDM process can be highly cost-efficient. The weight of the 3DP Nylon 6 propeller is about 60% of the Aluminium alloys and only 20% of Cast Iron. Therefore the 3DP Nylon 6 blades will reduce the payload on the AUV considerably.

Figure 4
Assembled AUV Propeller.

Figure 5
Stages of manufacturing of conventional propeller blade.

(C) Error Measurement

Geometrical analysis of the 3DP Nylon 6 impeller blades was carried out by measurement of the cross-section at three different distances from the tip of the blade and a comparison was made with the cross-sections of the CAD model. The truncation scheme is shown in Figure 6. Three blades truncated at the specified distances were 3D printed with a 2x scale, as shown in Figure 7. The measurement of the cross-sections was completed with desired images processed in image processing software, ImageJ. The comparison between the CAD model and the 3D printed truncated models was made for cross-sectional area and perimeter as summarized in Table 3. Visual comparison for shape conformity was also made and is shown in Figure 8. Considering the cross-sectional area, the 3D printed models show a near consistent error of 20% compared to the CAD model, which is taken as reference. Visual inspection of the models reveals two reasons for the deviation of the printed models from the CAD model. Firstly, the thin edge witnessed in the CAD model in Figure 8, could not be reproduced in the 3D model, primarily due to the inherent limitations in FDM process or the selected resolution of the machine configuration. Such rounding of edges is inevitable in FDM prints with the layer resolution of 200 µm. Secondly, the traces of air-voids appear in the first two truncations, i.e. at 15 and 30 mm. These are thinner sections than the third truncated section at 45 mm.

Figure 6
Reference and truncation of the 3D printed Impeller Blade.

Figure 7
Three blades truncated at the specified distances were 3D printed.

Table 3
The deviations in the perimeters of the 3D printed models as compared to the CAD models.

Distance from blade tip (mm)	Area (mm2)		Error (%)	Perimeter (mm)		Error (%)
	CAD	3D Model		CAD	3D Model
15	48.326	38.998	19.303	84.380	93.943	-11.333
30	83.178	63.294	23.905	91.580	101.772	-11.129
45	112.769	90.659	19.607	88.407	99.825	-12.915

Figure 8
Shape comparison between 3D printed model sections and CAD sections.

To determine the presence of air voids, the density of the blades was measured, and the average density was found to be 1.09 g/cm³. The difference between the theoretical density of the Nylon 6 and the 3DP blade is +0.04 g/cm³, which is quite reasonable. From the density measurement and careful observations of Figure 7 and 8; it may be established that the pores are present in limited volume and are confined only to the thinner sections of the blades. Thinner sections cause difficulties in the layering of the fused material resulting in a poor deposition. These air-voids allow the 3DP parts to shrink, accounting for smaller cross-sections. Even the thicker edge is not as smooth because the movement resolutions limit small and smooth features, as shown in Figure 9a. Hence the vertical edges created with the layer resolution limitations cannot be as smooth as in the CAD model as observed from Figure 9b and Figure 10.

Figure 9
(a) Defects in 3D Printed Models. (b) Irregular geometry with the small rounded feature.

Figure 10
Rough Vertical Edge on the Thin Side.

The deviations in the perimeters of the 3D printed models as compared to the CAD models are given in Table 3. The deviation in the area is consistent between 19-23% and that in the perimeter is consistent between 11-13%. The perimeter of the 3D printed model sections being larger than that of the CAD model is largely attributed to rounding of the edges as visible from Figure 10.

4. Conclusions

In a single operation, the propeller for AUV was developed by 3D printing. It is observed by the stress analysis that the propeller made from Nylon 6 can easily endure the underwater loads on the blades of the propeller. The maximum stresses appear on the fixed end, and the maximum deflection occurs at the free end. The maximum stress is only 7% of the yield stress of Nylon, making it a promising candidate material for making the AUV propeller. The error between the required model and the physical model is consistent. A few deviations are observed in the 3DP model, in particular in the thinner sections, which may be fixed by increasing the printing resolution and a few post-processing finishing operations. The 3DP Nylon 6 propeller is a promising and cost-efficient solution for AUV for large scale production.

5. Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (KKU), Abha, Kingdom of Saudi Arabia for funding this work through research groups program under grant number R.G.P.1/201/41.

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Publication Dates

• Publication in this collection
  02 Nov 2020
• Date of issue
  2020

History

• Received
  01 June 2020
• Reviewed
  04 Sept 2020
• Accepted
  26 Sept 2020