Associate Professor of Mechanical Engineering, Arak University, Arak, Iran
10.22044/jsfm.2026.16459.3986
Abstract
In this study, the modeling of the critical manipulation force of particles in three-dimensional space was investigated using the Design of Experiments (DoE) approach. The main objective was to analyze the influence of geometric and control parameters on the critical force required for particle manipulation using an Atomic Force Microscope (AFM). Five key parameters, including particle radius (Rp), cantilever thickness (T), cantilever length (L), cantilever width (W), and tip height (H) were selected as input variables, while the critical forces in the X and Y directions were modeled and analyzed as output responses. Based on the results from 27 designed experiments and the statistical analysis of the derived regression model, it was found that cantilever thickness and particle radius had the most significant impact on increasing the critical manipulation force, whereas increasing the cantilever length and tip height led to a reduction in this force. The 3D surface plots revealed that the interaction effects between the parameters were considerable, and the overall manipulation performance strongly depended on the appropriate combination of geometric and physical properties. Additionally, residual analysis confirmed the normal distribution of errors and the high accuracy of the model (R² > 99%). The findings of this study can serve as a foundation for the optimal design and development of advanced manipulation tools.
taheri, M. (2027). Modeling of the critical force in three-dimensional manipulation using the design of experiments method. Journal of Solid and Fluid Mechanics, 15(6), 521-534. doi: 10.22044/jsfm.2026.16459.3986
MLA
taheri, M. . "Modeling of the critical force in three-dimensional manipulation using the design of experiments method", Journal of Solid and Fluid Mechanics, 15, 6, 2027, 521-534. doi: 10.22044/jsfm.2026.16459.3986
HARVARD
taheri, M. (2027). 'Modeling of the critical force in three-dimensional manipulation using the design of experiments method', Journal of Solid and Fluid Mechanics, 15(6), pp. 521-534. doi: 10.22044/jsfm.2026.16459.3986
CHICAGO
M. taheri, "Modeling of the critical force in three-dimensional manipulation using the design of experiments method," Journal of Solid and Fluid Mechanics, 15 6 (2027): 521-534, doi: 10.22044/jsfm.2026.16459.3986
VANCOUVER
taheri, M. Modeling of the critical force in three-dimensional manipulation using the design of experiments method. Journal of Solid and Fluid Mechanics, 2027; 15(6): 521-534. doi: 10.22044/jsfm.2026.16459.3986
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