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Mathematical Modelling of Fused Deposition Modeling (FDM) 3D Printing of Poly Vinyl Alcohol Parts through Statistical Design of Experiments Approach

Mahmoud Moradi, Mojtaba Karamimoghadam, Mohammad Saleh Meiabadi, Giuseppe Casalino, Mohammad Ghaleeh, Bobymon Baby, Harikrishna Ganapathi, Jomal Jose, M S Abdulla, Paul P. Tallon, Mahmoud Shamsborhan, Mohammad Rezayat, Satyam Paul, Davood Khodadad

2023Mathematics22 citationsDOIOpen Access PDF

Abstract

This paper explores the 3D printing of poly vinyl alcohol (PVA) using the fused deposition modeling (FDM) process by conducting statistical modeling and optimization. This study focuses on varying the infill percentage (10–50%) and patterns (Cubic, Gyroid, tri-hexagon and triangle, Grid) as input parameters for the response surface methodology (DOE) while measuring modulus, elongation at break, and weight as experimental responses. To determine the optimal parameters, a regression equation analysis was conducted to identify the most significant parameters. The results indicate that both input parameters significantly impact the output responses. The Design Expert software was utilized to create surface and residual plots, and the interaction between the two input parameters shows that increasing the infill percentage (IP) leads to printing heavier samples, while the patterns do not affect the weight of the parts due to close printing structures. On the contrary, the discrepancy between the predicted and actual responses for the optimal samples is below 15%. This level of error is deemed acceptable for the DOE experiments.

Topics & Concepts

Fused deposition modelingVinyl alcoholDesign of experimentsDeposition (geology)GyroidMaterials scienceResidual3D printingProcess (computing)Response surface methodologyCategorical variableInfillEngineering drawingMechanical engineeringComputer scienceComposite materialPolymerMathematicsStructural engineeringEngineeringAlgorithmStatisticsCopolymerGeologyOperating systemSedimentPaleontologyAdditive Manufacturing and 3D Printing TechnologiesManufacturing Process and OptimizationAdditive Manufacturing Materials and Processes