| Abstrakt: |
The problem of the low-velocity normal impact of a rigid sphere with an infinite viscoelastic Kirchhoff–Love plate is considered. The dynamic behavior of a viscoelastic plate is described by a fractional-derivative standard linear solid model. The fractional parameter, which determines the order of the fractional derivative, takes into account the change in the viscosity of the plate material in the contact zone during impact. The plate buckling and the contact force are determined by the generalized Hertz theory. Using the algebra of Rabotnov operators and considering the effect of bulk and shear relaxation, we obtain an integral equation for the buckling of contacting bodies. An approximate solution of this equation makes it possible to find the time dependence not only for the contact buckling but also for the contact force. [ABSTRACT FROM AUTHOR] |
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