On certain contact problems for reinforced plates
Problems of the smooth contact with the linearly deformable base of an infinite plate reinforced by a thin elastic rib/stiffener/(of finite or semiinfinite length) are examined. The rib is subjected to a normal load while its ends are free. The bending moments in the reinforcing ribs are computed. Analogous problems are examined in the last authors' article, Prikl. Mekh. 15, No.7, 68-73 (1979; Zbl 0438.73093) for reinforcement by infinite ribs. The characteristic feature of the investigation is the reliance on solutions with non-integrable singularities for the integral equations of the contact problems mentioned, and the utilization of integrals in a regularized (generalized) sense.
solutions with non-integrable singularities
scientific article; zbMATH DE number 3909940
scientific article