Dynamic response of Mindlin plates resting on arbitrarily orthotropic Pasternak foundation and partially in contact with fluid

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

“…Malekzadeh et al [16] investigated the effect of nonideal simple supports and initial stresses on the vibration of laminated rectangular plates on Pasternak foundation based on the LindstedtPoincare perturbation technique. Kutlu et al [17] derived a mixed-type finite element formulation to study the dynamic response of the Mindlin plate-arbitrarily orthotropic Pasternak foundation interaction by applying the Gâteaux differential. Tornabene et al [18] considered the static and dynamic analyses of laminated doubly curved and degenerate shells and panels on the Winkler and Pasternak foundations by using the generalized differential quadrature (GDQ) method and FSDT.…”

Hydroelastic oscillation of a plate resting on Pasternak foundation

“…Reference [16] investigates the oscillations of the membrane, resting on Winkler elastic foundation, the membrane being on the bottom of reservoir, filled with an ideal incompressible liquid with a free surface. The hydroelastic oscillations of the rectangular plates, resting on Pasternak foundation and interacting with an ideal incompressible liquid with a free surface, are investigated in references [17][18][19]. The investigation of the oscillations of the plate, resting on the elastic Winkler foundation and interacting with viscous incompressible liquid pulsating layer, was made in references [20][21][22].…”

Three-Dimensional Vibration Analysis of Rectangular Thick Plates on Pasternak Foundation with Arbitrary Boundary Conditions

“…However, a lot of engineering problems boil down to a rectangular plate on elastic foundations, such as footing of buildings, pavement of roads, and base of heavy machines. In the practical application, the Pasternak model (also referred to as the two-parameter model) [24][25][26] is widely used to describe the mechanical behavior of the foundation, in which the wellknown Winkler model [27] is a special case. In addition, the boundary condition may not always be classical case in reality, and a variety of possible boundary conditions including classical boundary conditions, elastic boundary restraints, and the combinations of two or more conditions may be encountered [6][7][8][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47].…”