A generalization for the kinematics of sliding-rolling motion in the semi-euclidean space ℝ ε 3
Year: 2024
Type: article
Abstract: UDC 531 We propose a generalization for the sliding-rolling motion, which leads to meaningful physical and mathematical results as the general metric includes the time dimension. We also investigate the kinematics of the relative motion of two rigid objects, which maintain sliding-rolling contact, by using the general adjoint approach in the semi-Euclidean space ℝ ε 3 , where ε ∈ { 0,1 } . This generalization gives the geometric kinematic equations of the sliding-rolling motion in Minkowski and Euclidean spaces. In these spaces, we get a set of overconstrained equations. Solving this system, we determine translational and angular velocities of the moving surface. Finally, we illustrate the results by two examples.
Authors: Tevfik Şahin, Keziban Orbay, Zehra Özdemir
Institution: Amasya Üniversitesi
Language: Latvian
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402772024