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The deformation and snap-through behaviour of athin-walled elastic spherical shell statically compressed on aflat surface or impacted against a flat surface are studied theoretically and numerically in order to estimate the influenceof the dynamic effects on the response.A table tennis ballis considered as an example of a thin-walled elastic shell.Itis shown that the increase of the impact velocity leads to avariation of the deformed shape thus resulting in larger deformation energy.The increase of the contact force is causedby both the increased contribution of the inertia forces andcontribution of the increased deformation energy.The contact force resulted from deformation/inertia ofthe ball and the shape of the deformed region are calculated by the proposed theoretical models and compared withthe results from both the finite element analysis and somepreviously obtained experimental data.Good agreement isdemonstrated.
The deformation and snap-through behavior of athin-walled elastic spherical shell statically compressed on aflat surface or impacted against a flat surface are contemplated theoretically and numerically in order to estimate the influence of the dynamic effects on the response. A table tennis ballis considered as an example of a thin-walled elastic shell. It shows the increase of the impact velocity leads to avariation of the deformed shape thus resulting in larger deformation energy. the increase of the contact force is caused by both both the increased contribution of the inertia forces andcontribution of the increased deformation energy. The contact forceized from deformation / inertia of the ball and the shape of the deformed region are calculated by the proposed theoretical models and compared with the results from both the finite element analysis and some previously obtained experimental data. Good agreement isdemonstrated.