The planar mechanisms with generalized complex numbers and their applications

In this thesis, the first chapter is devoted to the introduction and the literature summary, basic definitions and theorems on the subject are discussed. The curves formed by four bar mechanisms were obtained by using Geogebra software and creating four bar materials. The general equations of position, velocity and acceleration analysis of four bar mechanisms were examined in analytical and complex planes. In the original part of the thesis, the analysis of four bar mechanisms with the help of generalized complex numbers was examined in the Euclidean, Galilean and Lorentz planes. Additionally, kinematic analysis and motion simulations were created using Geogebra software. Many mechanisms other than four bar mechanisms were created in the Euclidean plane using the Geogebra software, and the curves created by the mechanisms while working were created in Geogebra.