Nonlinear vibration of laminated plates on a nonlinear elastic foundation

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

“…Studies related to analysis of plates on non-linear elastic foundation are, however, scarce in comparison with those available on beams. Analysis of rectangular [33, [119][120][121][122][123][124][125][126] and annular [127] plates on non-linear elastic foundation were performed. angle α subjected to non-uniform transverse pressure z P is considered here.…”

Dynamic near three-to-one internal resonance in composite stiffened panels

“…Karimin and Belhaq (2009) examined the effect of stiffener on nonlinear characteristic behavior of a rectangular plate using a single mode approach. For other applications, see Chien and Chen (2005), Featherston and Watson (2006), Amabili and Farhadi (2009), Prusty (2008) and Bisagni and Vescovini (2009). For a brief review of nonlinear modal interaction, we refer the reader, for instance, to Chin and Nayfeh (1999) and Touzé et al (2002).…”

Nonlinear vibration and resonance analysis of a rectangular hyperelastic membrane resting on a Winkler–Pasternak elastic medium under hydrostatic pressure

“…One main classical problem in structural mechanics is the analysis of membranes, bars, shells, and plates resting on the different foundation types such as Winkler, Pasternak, and Filonenko-Borodich foundations. The nonlinear Winkler type foundation with cubic nonlinearity, which was presented by Chien and Chen (2005), is one popular model. Recently, Karimi et al (2021), investigated the superharmonic and subharmonic resonance analysis of a RHM resting on nonlinear elastic foundation using the method of multiple scales.…”