The motion characteristics of the double‐pendulum system with skew walls

Abstract

Many components of machines and other technological devices (chains and bodies hanging on the ropes) can be modeled as multiple pendulums situated in tubes or holes of limited space. The investigation of motion of such systems represents the substance of many real technological problems; therefore, it stirred up motivation to perform research on vibration of a double pendulum situated between two skew rigid walls. The analyzed system was set into motion by the horizontal movement of its suspending. The results of the simulations show that the system can exhibit both the regular and chaotic movements depending on the excitation frequency. The development of the computational model, which is applicable for more complex investigations, and learning more on the motion character of a double pendulum, the movement of which is limited by skew walls, are the principal contributions of the presented article.

Motion of an Unbalanced Impact Body Colliding with a Moving Belt

“…If K is close to zero (denoted by blue in our results), regular movements appear, and when K approaches one, there is chaos (marked in red). It is possible to apply this test to the full variety of the time series corresponding to the real data [12] and time series derived by continuous [13,14] or discrete models [15].…”