3rd TAGRA

Non-Newtonian calculus offers alternative frameworks for studying functions with different analytical structures. This study presents a first-order local approximation method for mixed-type functions containing classical and non-Newtonian components. In the proposed method, each component is approximated within its corresponding calculus, and the resulting approximations are combined according...

Stress concentration is the local increase in stress caused by geometric discontinuities and is quantified by the theoretical stress concentration factor. In shafts, the change in diameter at the shoulder is a typical source of stress concentration and a common site of fatigue failure. Stress concentration factors for solid shouldered shafts are well documented, but data for hollow shafts are...

The anageometric Laplace transform has been formulated for scalar differential equations, but its use in coupled systems requires an explicit matrix-based treatment. This study applies the transform to linear systems of anageometric differential equations with constant coefficients and continuous forcing. The anageometric derivative is defined by D̃f(t) = t f′(t) for t ≥ 1, and the transform...

The purpose of this study was to analyze the three-dimensional stress distribution in a journal bearing using a one-way coupled Computational Fluid Dynamics (CFD) and Fluid–Structure Interaction (FSI) model. Numerical simulations were performed using ANSYS 2023 R2 software. The hydrodynamic pressure distribution was obtained under laminar, isothermal, steady-state conditions at an eccentricity...