Dynamic modelling of a projectile launcher with controlled double inverted pendulum

EasyChair Preprint 2066

Abstract

The aim of this paper is to form a mathematical model to simulate the dynamics of a unique mechanism which can be used in a projectile launching machine. The mechanism consists of two pivot points. A rigid link rotates about the first pivot and a string suspended ball rotates about the second pivot. The second pivot is detached when the ball reaches the launch position. The ball follows projectile motion after leaving the system. The mathematical model of this system is derived assuming the system to be a controlled double inverted pendulum. The trajectory of the ball, resulting from the combined motion of the links, is assumed to follow circular path for a small segment. The launch parameters i.e. launch velocity and launch angle are derived from the mathematical model and these parameters are experimentally verified to a great degree of accuracy

Keyphrases: Controlled double inverted pendulum, Launch parameters, Projectile launching machine, String suspended ball, mathematical model

@booklet{EasyChair:2066,
  author    = {Paras Savnani and Mihir Chauhan and Akash Mecwan and Rajesh Patel},
  title     = {Dynamic modelling of a projectile launcher with controlled double inverted pendulum},
  howpublished = {EasyChair Preprint 2066},
  year      = {EasyChair, 2019}}