VIBRATIONS OF A THREE-LAYER CIRCULAR STEP PLATE UNDER PERIODIC IMPACT

Forced oscillations of a three-layer circular plate with step-variable thickness the outer layers are analyzed. The deformation is described zig-zag theory. In thin border Kirchhoff’s hypotheses valid. relatively thick in medium layer Timoshenko’s hypothesis on straightness and incompressibility deformed normal fulfilled. equations motion derived from Hamilton’s variational principle. A special case exposure considered: periodic sequence strokes constant intensity. problem reduced to finding three required functions each section, deflection, shear radial displacement median plane filler. solution presented as sum quasi-static dynamic components unknown displacements. Numerical results obtained presented. influence impact stress oscillatory character