Circular Elastic Plate Resting on Tensionless Pasternak Foundation

Analysis of Circular Elastic Plate Resting on Pasternak Foundation by Strain Energy Approach

“…It is observed that, for any value of k s *, the deflection of the plate decreases with increase in r*; the rate of decrease being higher for smaller values of k s * (say less than 200). A similar trend of variation was also reported by Guler (2004) in his work.…”

“…For a particular value of the concentrated load, the deflection of the plate decreases with increase in the radial distance. The deflection profiles have a variation similar to the profiles reported by Guler (2004), which is based on an approximate solution technique. It is seen that the radial distance of lift-off point of the plate is 0.865 times the radius of the plate, whereas this was reported to be 0.52 times the radius of the plate by Guler for the same set of parameters.…”

“…It is noted that for different values of Q*, the plate lift-off develops for the contact radius, r b = 0.865. Guler (2004) presented a similar trend of the variation of plate deflection with radial distance for the same set of parameters; however, it was reported that the plate lift-off developed for the contact radius, r b = 0.52. The difference between the value of contact radius of the lift-off point obtained in the present study and that of the Guler's study is probably because of the difference in the methods of analysis; the latter is based on an approximate solution technique.…”

“…In order to eliminate this deficiency of the Winkler model, circular plates have been analyzed by representing the foundation soil by improved foundation models in the past (Zemochkin 1939;Benito 1948;Reissner 1955;Galletly 1959;Korenev 1960;Palmov 1960;Kerr 1964;Vlazov and Leontiev 1966;Wen-da and Shu 1987;Al-Sanad et al 1993;Fwa et al 1996;Wang et al 2001). Very recently, Guler (2004) presented an analysis of a thin circular elastic plate resting on a two parameter Pasternak foundation (Pasternak 1954) under concentrated central and distributed loads adopting Galerkin technique for determining approximate plate deflection. The analysis also considers the effect of tensionless characteristics of the Pasternak foundation, which allows the plate to lift off from the foundation surface.…”

Semi Nonlinear Analysis in Carbon Nanotube

“…Gupta et al (2008) utilized Hamilton's energy principle to derive the governing differential equations of motion. In contrast, the Pasternak model has been studied as a 2-parameter model, in which a membrane is assumed that resists only transverse shear deformations and is attached to the layer of the spring (Guller, 2004). Kerr (1964) provided an excellent discussion of intensive studies on plates and beams resting on different soil models, which were regarded as soil-structure interaction problems.…”