Buckling of Bars, Plates and Shells

By R. Jones. 2007

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Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels (2012, background): “Configuration of an eccentric According to the classical shell theory and geometrical nonlinearity in von Karman–Donnell sense, the strains at the middle surface and curvatures are related to the displacement components u, v, w in the x1, x2, z coordinate directions as [28].”
Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers (2008, background): “Derivation of the governing differential equations of the piezoelectric coupled FGM circular plate In order to obtain the governing differential equation of the coupled circular plate, we begin with resultant moments and resultant shear force components as [27]: 2 f p f f p”
Linear buckling predictions of unstiffened laminated composite cylinders and cones under various loading and boundary conditions using semi-analytical models (2014, methodology): “The linear buckling behavior can be calculated applying the neutral equilibrium criterion[11,6]: dP 1⁄4 0 ð7Þ to the total potential energy equation, giving the expression: dðdU þ dVÞ 1⁄4 0 ð8Þ”