Dynamic analysis of simple pendulum model under variable damping

Abstract

The pendulum model is a classic model in physics and has important theoretical and practical significance. In the actual application process of engineering, the characteristic that the simple pendulum has a tendency to always be stable towards the low side of the gravitational potential energy is often used to design the corresponding deformation mechanism as a sensing or control component. In this paper, a deformation structure of a simple pendulum based on this characteristic is analyzed, and a nonlinear dynamic model of the simple pendulum under variable damping is established according to the actual force analysis. Due to the complexity of its analytical solution, this paper adopts the method of numerical analysis to establish a simulation analysis model to analyze the motion pattern of the pendulum when the relative speed and direction of the pendulum and the damper are different and the damping force of the pendulum is different.