Marek Kawulok, S. Pospíšil, N. Freiherrová, D. Juračka
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Numerical Simulation of a Planar Model of a Ball Absorber in a Spherical Dish
This paper aims to investigate the behavior of a spherical absorber composed of two parts, an inner sphere and a supporting convex spherical dish in which the ball is placed. Considering only the planar behavior of the system, a set of governing nonlinear differential equations was derived and solved numerically. Firstly, the system is exposed to the harmonic excitation of the supporting bowl and its time response is analyzed for all time dependent variables. By gradually changing the angular frequency of the excitation, a resonance curve is obtained, which is examined in detail with respect to the changing amplitudes of the excitation force and the nonlinear behavior. The effect of internal damping and different settings of the absorber characteristics are also investigated. The effect of initial conditions without the presence of an external excitation force is also numerically analyzed by means of phase portraits for selected pairs of initial conditions.
期刊介绍：
Periodica Polytechnica Civil Engineering is a peer reviewed scientific journal published by the Faculty of Civil Engineering of the Budapest University of Technology and Economics. It was founded in 1957. Publication frequency: quarterly.
Periodica Polytechnica Civil Engineering publishes both research and application oriented papers, in the area of civil engineering.
The main scope of the journal is to publish original research articles in the wide field of civil engineering, including geodesy and surveying, construction materials and engineering geology, photogrammetry and geoinformatics, geotechnics, structural engineering, architectural engineering, structural mechanics, highway and railway engineering, hydraulic and water resources engineering, sanitary and environmental engineering, engineering optimisation and history of civil engineering. The journal is abstracted by several international databases, see the main page.
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