Applied Mathematics Stabilization of Vertically Modulated Pendulum with Parametric Periodic Forces

Authors

  • Babar Ahmad COMSATS Institute of Information Technology Islamabad
  • Sidra Khan

DOI:

https://doi.org/10.30537/sjcms.v2i2.26

Keywords:

Kapitza pendulum; fast oscillation; parametric control

Abstract

With the application of Kapitza method of averaging for arbitrary periodic force, a vertically modulated pendulum, with periodic linear forces is stabilized by minimizing its potential energy function. These periodic linear forces are selected in range [-1, 1], further the corresponding stability conditions are compared with that in case of harmonic modulation. Later, a parametric control is defined on some periodic piecewise linear forces and the nontrivial position is stabilized under different conditions by just adjusting the parameter.

Downloads

Download data is not yet available.

Downloads

Published

2018-12-31