Refined models of contact interaction of a thin plate with positioned on both sides deformable foundations

• Published in: Lobachevskii journal of mathematics Vol. 38; no. 5; pp. 779 - 793
• Main Authors: Badriev, I. B., Paimushin, V. N.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.09.2017; Springer Nature B.V
• Subjects: Algebra; Analysis; Deformation; Elasticity; Formability; Geometry; Mathematical Logic and Foundations; Mathematical models; Mathematics; Mathematics and Statistics; Nonlinear equations; Plate theory; Plates (structural members); Probability Theory and Stochastic Processes; two-dimensional equations; Timoshenko model; contact interaction; elastic support elements; the simplified elasticity equations; the generalized variational principle; Kirchhoff–Love model; transversely soft foundation; Thin plate; kinematic coupling equations; middle bending

We consider a rectangular plate connected along the outer contour with an absolutely rigid and fixed support through a low tough elastic support elements included in the class of transversely soft foundations. It is assumed that the contact interaction of plate at its points of faces of the connecti...