The vibrational motion of a spring pendulum in a fluid flow
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Date
2020-12
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
Elsevier B.V.
Series Info
Results in Physics;Volume 19, December 2020, Article number 103465
Scientific Journal Rankings
Abstract
In this work, the response of two degrees of freedom for a nonlinear dynamical model represented by the
motion of a damped spring pendulum in an inviscid fluid flow is investigated. The governing system of motion
is obtained using Lagrange’s equations. The equations of this system are solved utilizing the multiple scales
method to obtain the asymptotic solutions up to the second approximation. Resonance cases of the system
are classified and the modulation equations are achieved. The steady state solutions are examined in view of
the solvability conditions. The dynamical behavior regarding the time history of the considered motion, the
resonance curves and the steady state solutions are performed graphically. The effect of different parameters
on the motion is analyzed using non-linear stability analysis. The importance of this model is due to its various
applications which centric on engineering vibrating systems.
Description
Scopus
Keywords
October University for Fixed points, Multiple scales technique, Nonlinear motion, Stability, Resonance