# Motion of a thin elliptic plate under symmetric and asymmetric orthotropic friction forces

## TL;DR

This paper investigates how symmetric and asymmetric orthotropic friction affects the motion of thin elliptic plates, revealing significant impacts of friction asymmetry through numerical analysis of their dynamics.

## Contribution

It introduces a detailed analysis of the dynamical behavior of thin elliptic plates under orthotropic friction, including numerical solutions for various initial conditions.

## Key findings

- Friction asymmetry significantly influences plate motion.
- Numerical solutions demonstrate diverse dynamical behaviors.
- Regular pressure distribution assumptions are validated.

## Abstract

Anisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction. Terminal motion of plates with circular and elliptic contact areas is mainly analyzed. Evaluation of friction forces for both symmetric and asymmetric orthotropic cases are shown. Regular pressure distribution is considered. Differential equations are formulated and solved numerically for a number of initial conditions. Examples show significant influence of friction force asymmetry on the motion.