Numerical Procedure for Solving the Nonlinear Behaviour of a Spherical Absorber
Abstract
The aim of the paper is to perform numerical simulations for a system of nonlinear differential equations that describe the behaviour of a spherical absorber placed in a support bowl and to describe the applied techniques. The motion of the sphere is constrained to a plane problem. The derived system of equations is numerically solved using the continuation method and the modified secant method. The absorber's response to different harmonic excitation forces is simulated to demonstrate the applicability of these techniques in its analysis. The dependence of the response amplitude on the angular frequency of excitation is presented graphically. The results also include a response stability analysis using the Routh-Hurwitz criteria.
Keywords:
nonlinear dynamic, modified secant method, continuation method, ball vibration absorber, bifurcation portraitsPublished Online
2024-07-22
How to Cite
Kawulok, M., Čermák, M., Pospíšil, S., Juračka, D. “Numerical Procedure for Solving the Nonlinear Behaviour of a Spherical Absorber”, Periodica Polytechnica Civil Engineering, 68(4), pp. 1367–1377, 2024. https://doi.org/10.3311/PPci.25903
Issue
Section
Review Article