This article is concerned with the numerical solution of the full dynamical von Kármán plate equations for geometrically nonlinear (large-amplitude) vibration in the simple case of a rectangular plate under periodic boundary conditions. This system is composed of three equations describing the time evolution of the transverse displacement field, as well as the two longitudinal displacements. Pa...

This paper deals with the nonlinear buckling and post-buckling of sandwich cylindrical panels non-uniform porous core functionally graded face sheets. The imperfect are subjected to axial loading on elastic foundation. Based Donnell shell theory, von Kármán geometrical nonlinearity, governing equations derived. effects foundation, various panel characteristics, porosity parameters, thickness in...

We study the nonlinear deformations of a long rectangular elastic plate clamped along its edges and submitted to in-plane biaxial compression. Using the Föppl–von Kármán equations, we predict various secondary buckling modes according to the applied longitudinal and transverse compressions. A model experiment is carried out in a thin polycarbonate film, and the observed buckling patterns are fo...

In this paper, the dynamic characteristics of clamped-clamped silicon microbeam subjected to electrostatic excitation and mechanical shock is investigated. The Euler-Bernoulli beam model based on the modified couple stress theory with von Kármán geometric non-linearity is utilized in theoretical formulation. Afterwards, squeeze-film damping effects of microstructures for small amplitude vibrati...

We analyze time series stemming from experiments and direct numerical simulations of hydrodynamic and magnetohydrodynamic turbulence. Simulations are done in periodic boxes, but with a volumetric forcing chosen to mimic the geometry of the flow in the experiments, the von Kármán swirling flow between two counterrotating impellers. Parameters in the simulations are chosen to (within computationa...

A numerical study of the magnetic induction equation has been performed on von Kármán type flows. These flows are generated by two co-axial counter-rotating propellers in cylindrical containers. Such devices are currently used in the von Kármán sodium (VKS) experiment designed to study dynamo action in an unconstrained flow. The mean velocity fields have been measured for different configuratio...