INFLUENCE OF THE NONLINEAR CHARACTERISTICS OF ELASTIC ELEMENTS ON THE BIFURCATIONS OF EQUILIBRIUM STATES OF A DOUBLE PENDULUM WITH FOLLOWER FORCE

摘要

A generalized mathematical model of an inverted double pendulum with asymmetric follower force is developed. The model accounts for all possible types of springs: hard, soft, and linear. The influence of equitype springs on the equilibrium states is examined.