BUILDING UP A BEARING COLUMN OF AGEING VISCOELASTIC MATERIAL UNDER SIMULTANEOUS ACTION OF LOADING

: A mechanical problem on tracing the stress-strain state evolution of a sufficiently high conical column bearing a variable central axial loading on its upper end and being simultaneously built up by means of additive layer-by-layer piecewise continuous augmenting with new viscoelastic ageing material over the side surface is investigated. The acting axial force magnitude, the radius of the increasing bearing end, and the slope angle of the side surface are arbitrarily changing during the considered augmenting process. The closed-form analytical solution of the corresponding non-classical boundary-value problem is obtained.