Acceleration Analysis of a Slider Crank Mechanism: A Novel Mathematical Approach

Abstract

The acceleration analysis of the slider crank mechanism using a new mathematical formulation is presented in this work. In this study, new kinematic response models of the slider crank mechanism were created. For the kinematic study of intricate mechanisms like the four-bar mechanism (slider crank), the new mathematical technique known as the Akozietic mathematical method, which uses trigonometric and inverse trigonometric functions, is appropriate. Using the equilibrium conditions of the forces in the mechanism, the Akozietic mathematical technique for a four-bar mechanism creates simple mathematical models that may be used to create user-written computer programs in Matlab and other programming languages. When the spreadsheet and this novel mathematical approach for mechanism analysis (Akozietic) were compared to standard numerical solutions in Mathematica, it was found that the new mathematical procedure created in this study outperformed the other two kinematic analysis approaches now in use. With the lowest link lengths, the spreadsheet approach stays relatively flat, suggesting less acceleration fluctuation. Greater forces will be applied to the slider in bigger configurations since the maximum acceleration of the slider is increased by increasing the lengths of the crank and connecting rod. The Akozietic method yields the highest numbers because of the lengthy crank and rod lengths, and the peak angular acceleration happens at 90°. The spreadsheet approach displays reduced numbers, emphasizing that shorter crank and rod lengths produce less angle.

Cite as:

Akobuche Chikezie. (2025). Acceleration Analysis of a Slider Crank Mechanism: A Novel Mathematical Approach. Research and Reviews: Journal of Mechanics and Machines, 7(1), 13–20. 

https://doi.org/10.5281/zenodo.14760372