Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure

Abstract

The purpose of this work is the experimental investigation and the mathematical modeling of the impact force behavior in a vibro-impact system, where an impact pendulum is mounted on a cart that moves with a prescribed displacement. The dynamics of the system will be evaluated considering different excitation frequencies and changing the impact gap. Experimental data are used to validate the mathematical model. The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. In impact systems, discrepancies between numerical results and experimental measurements are common due to the difficulty in describing all factors that influence the resulting impact force profile. The use of wires to suspend the impacting body has the purpose to limit these uncertainties.

Development and application of computer model to study the modes of dynamic loading in mechanical oscillatory systems

“…To discover the physical essence of flow of dynamical processes and to obtain data on the modes of dynamic loading of tooth gear, different approaches, based on developing and studying mathematical models of discrete and continuous systems, are used [8]. Modeling of dynamic processes in mechanical oscillatory systems and elastic environments are the focus of a number of publications [9][10][11][12][13][14][15].…”

“…As a solution to the dynamic problem, the relationship between kinematic characteristics and parameters of the stressed state of oscillation system was obtained. In paper [15], mathematical modeling of the dynamic system "pendulum-cart" was performed. The obtained model allows conducting a wide nonlinear analysis of the systems, based on the response that includes dynamic transitions, bifurcation and chaos.…”

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

“…The dynamics and movement of a double mathematical pendulum with variable mass was analyzed in the studies of Kwiatkowski et al and Kwiatkowski. () Aguiar and Weber performed an experimental work and mathematical modeling of the impact force behaviour in a vibro‐impact system, where an impact pendulum was mounted on a cart that moved with a prescribed displacement. Pilipchuk et al examined the dynamic behaviour of a double pendulum model with impact interaction.…”

Contact Impact Forces at Discontinuous 2-DOF Vibroimpact

“…We have seen little of such papers in scientific literature. At [31] the experimental investigations and the mathematical modeling of the impact force behaviour in a vibroimpact system are described. This is system where an impact pendulum is mounted on a cart that moves with a prescribed displacement.…”