Analysis of laminated conical shell structures using higher order models

Analysis of adaptive shell structures using a refined laminated model

“…The finite element uses a high order shear deformable displacement field with the imposed condition of zero transversal shear stresses at the surfaces of the shell. The element has 8 nodes and 40 displacement degrees of freedom and the shape functions used are Lagrange quadratic functions and Hermitian polynomials respectively for the in-plane displacement and rotations and for the transverse displacement, as in Pinto Correia et al [10]. The element is C 1 conforming because the continuity of both the normal and the tangential slopes of the transverse displacement are fulfilled between adjacent elements.…”

Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

“…where ϕ (0) , ϕ (1) and ϕ (3) are the electric potential terms. The nonlinear coupled piezothermoelectric constitutive equations can be written as of an orthotropic layer/lamina (say p th layer) having any fiber orientation with respect to structural axes system (s − θ − z) [35] …”

“…The condition of zero transverse shear stresses on the top and bottom of the conical shell is imposed to determine the higher order terms on the displacement field. After imposing these conditions, the displacement field as given in [1] for the conical shell/panel is modified and expressed as:…”

“…For example: Correia et al [1] carried out the structural analysis of laminated conical shell panels using a quadrilateral isoparametric finite element with the application of higher-order shear deformation theory (HSDT) in which the displacement expressions used for longitudinal and circumferential components of displacement field are given by power series of the transversal coordinate. Patel et al [2] studied the thermoelastic post buckling behavior of cross-ply laminated composite conical shells under uniform temperature distribution in which critical temperature parameter values corresponding to the onset of bifurcation have been compared with linear eigenvalue analysis.…”

Third-order shear deformation theory for stress analysis of a thick conical shell under pressure

“…Wu and Chiu [2002] investigated thermally induced dynamic instability of laminated composite conical shells subjected to static and periodic thermal loads by means of the multiple scales method of perturbation theory. Correia et al [2003] presented a numerical method for the structural analysis of laminated conical shell panels using a quadrilateral isoparametric FE based on higher-order shear deformation theory. The displacement expressions used for the longitudinal and circumferential components of the displacement field were given by power series and a condition of zero stress on the top and bottom surfaces of the shell was imposed.…”