Geodesic
Forced vibrations of a three-layer step-variable thickness circular plate under impact
Problemy fiziki, matematiki i tehniki, no. 3 (2022), pp. 28-36

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The problem of forced oscillations of a three-layer circular plate with step-variable thickness of the outer layers is presented. The historical review of the theories that have been developed for the straining representation of a three-layer structure is presented. The deformation of the plate follows the zig-zag theory. In thin border layers of plate Kirchhoff’s hypotheses are valid. In a relatively thick in thickness medium layer Timoshenko’s hypothesis is fulfilled. The equations of motion are derived from Hamilton’s variational principle. A solution is constructed to determine the displacements during forced vibrations of a plate under impact. Numerical results of the obtained solution are presented. The influence of impact function on the oscillatory character is analyzed.
Keywords: circular three-layer plate, plates with step-variable thickness, forced vibration, stroke. 
@article{PFMT_2022_3_a4,
     author = {M. V. Markova},
     title = {Forced vibrations of a three-layer step-variable thickness circular plate under impact},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {28--36},
     publisher = {mathdoc},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_3_a4/}
}
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M. V. Markova. Forced vibrations of a three-layer step-variable thickness circular plate under impact. Problemy fiziki, matematiki i tehniki, no. 3 (2022), pp. 28-36. http://geodesic.mathdoc.fr/item/PFMT_2022_3_a4/