Abstract This paper presents the application of an exponential version harmonic balance method to analysis steady state vibration geometrically nonlinear systems. A detailed description and corresponding numerical procedure is provided. The von Karman theory used describe effects geometric nonlinearity. material beams modelled with help Zener model using fractional calculus. problem solved meth...

By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an approximate analytical solution of the problem. First order approximate solution is obtained, which is similar to those in open literature. By Mathematica a more accurate solution can be deduced. 2002 Elsevier Science Inc. All rights re...

In this article, a nonlinear dynamical investigation of porose functionally graded cylindrical panels using proposed analytical model is carried out. The material's properties are considered to be porosity-dependent and in the thickness direction, corresponding power-law distribution. classical shell theory, with geometrical shape von Karman–Donnell, employed get Lagrange motion equations. By a...

Abstract The formation of macrosegregation pattern in steel is explored for the continuous casting process. related solidification problem described by incompressible turbulent fluid flow, governed mass, momentum, energy, and species conservation equations. solid-liquid system designed a mixture continuum model formulation, mushy region approximated with Darcy model. lever rule describes micros...

Abstract Current design approaches to determine the capacity of plates in local buckling are based on empirical equations, particular widely used Winter equation. In contrast, this research presents a novel analytical approach, focusing outstand steel plates. The derivation method is rooted Föppl‐von Karman which first simplified by making number basic mechanical assumptions about post‐buckling...

Julien Christophe, Stéphane Moreau, Jérome Anthoine 1 von Karman Institute for Fluid Dynamics, 72 Chaussée de Waterloo, 1640 Rhode-St-Genèse, Belgium, [email protected] 2 Université de Sherbrooke, 2500 Boulevard de l’Université, Sherbrooke, J1K 2R1 Québec, Canada, [email protected] 3 ONERA The French Aerospace Lab, Midi-Pyrenees Center, Mauzac, France, Jerome.Anthoine@one...

The following article investigates nonlinear symmetric buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account Eringen nonlocal elasticity theory, principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained ...

In this study, vibration of initially imperfect cracked thick plate has been investigated using the differential quadrature method. The crack modeled as an open crack using a no-mass linear spring. The governing equations of vibration of a cracked plate are derived using the Mindlin theory and considering the effect of initial imperfection in Von-Karman equations. Differential equations are dis...

We present solutions of the laminar compressible boundary-layer flows over the family of rotating cones subject to surface mass flux. The work is a generalization of previous studies of the compressible rotating-disk flow and incompressible rotating-cone flow without surface mass flux. Transformations are used which lead to a system of generalized von Karman equations with boundary conditions p...