Abstract:In this study the geometrically nonlinear transient response of the laminated composite doubly curved shells is investigated using the finite element method. The finite element model includes nonlinearity due to large deflection. A nine-noded isoparametric composite shell element including the first-order shear deformation is developed in curvilinear coordinates for the nonlinear transient analysis. The present formulation is based on the total Lagrangian approach and the material behavior is assumed to be lin… Show more
“…Further, the present solutions are obtained using a direct iterative method in association with the FEM steps. However, both the references 37,38 have adopted the FSDT kinematics and von-Karman nonlinear strain and solved via Newton–Raphson technique in association with the generalized differential quadrature method in Kundu and Sinha 37 and Kurtaran 38 , respectively. Figure 6.Validation study of nonlinear transient response of simply supported composite cylindrical shell panel.Figure 7.Validation study of nonlinear transient response of simply supported composite spherical shell panel.…”
Section: Resultsmentioning
confidence: 99%
“…The results computed using the present model is plotted in Figure 5 which shows good agreement with that of the published results. Subsequently, to validate the nonlinear transient bending responses, simply supported single/doubly curved panel examples 37,38 are considered. The geometrical parameters and material properties are taken to be similar to the considered references.…”
Section: Convergence and Comparison Studymentioning
confidence: 99%
“…Further, the present solutions are obtained using a direct iterative method in association with the FEM steps. However, both the references 37,38 have adopted the FSDT kinematics and von-Karman nonlinear strain and solved via Newton-Raphson technique in association with the generalized differential quadrature method in Kundu and Sinha 37 and Kurtaran 38 , respectively.…”
Section: Convergence and Comparison Studymentioning
In this work, a generic geometrical nonlinear mathematical model of smart composite curved shell panels has been developed for the evaluation of the linear and nonlinear dynamic responses. Further, the dynamic deflections are reduced by employing the piezoelectric material with the parent composite using two different arrangements (sensor and actuator). The current layered structure model is developed based on the higher-order mid-plane kinematics including the stretching effect. The electric potential due to the piezoelectric material included via a quadratic function of thickness for the current combined electro-elastic modeling. The geometrical distortion of the smart shell panel structure accounted via Green-Lagrange strain field including all of the nonlinear higher-order terms. The desired responses are evaluated computationally using an original computer code (MATLAB environment) with the help of the current higher-order model and finite element steps. The nonlinear dynamic deflection values are obtained through the direct iterative method in conjunction with Newmark’s integration. Additionally, the accuracy of the proposed model is demonstrated via comparison study with the available published literature with and without electric field potential. The reduction of response frequencies is also compared with the in-house experimental data. Lastly, few more numerical examples are computed for the various geometrical parameter including the shell configuration and the comprehensive behaviour of the currently developed nonlinear numerical model for the analysis of smart layered structure discussed in details.
“…Further, the present solutions are obtained using a direct iterative method in association with the FEM steps. However, both the references 37,38 have adopted the FSDT kinematics and von-Karman nonlinear strain and solved via Newton–Raphson technique in association with the generalized differential quadrature method in Kundu and Sinha 37 and Kurtaran 38 , respectively. Figure 6.Validation study of nonlinear transient response of simply supported composite cylindrical shell panel.Figure 7.Validation study of nonlinear transient response of simply supported composite spherical shell panel.…”
Section: Resultsmentioning
confidence: 99%
“…The results computed using the present model is plotted in Figure 5 which shows good agreement with that of the published results. Subsequently, to validate the nonlinear transient bending responses, simply supported single/doubly curved panel examples 37,38 are considered. The geometrical parameters and material properties are taken to be similar to the considered references.…”
Section: Convergence and Comparison Studymentioning
confidence: 99%
“…Further, the present solutions are obtained using a direct iterative method in association with the FEM steps. However, both the references 37,38 have adopted the FSDT kinematics and von-Karman nonlinear strain and solved via Newton-Raphson technique in association with the generalized differential quadrature method in Kundu and Sinha 37 and Kurtaran 38 , respectively.…”
Section: Convergence and Comparison Studymentioning
In this work, a generic geometrical nonlinear mathematical model of smart composite curved shell panels has been developed for the evaluation of the linear and nonlinear dynamic responses. Further, the dynamic deflections are reduced by employing the piezoelectric material with the parent composite using two different arrangements (sensor and actuator). The current layered structure model is developed based on the higher-order mid-plane kinematics including the stretching effect. The electric potential due to the piezoelectric material included via a quadratic function of thickness for the current combined electro-elastic modeling. The geometrical distortion of the smart shell panel structure accounted via Green-Lagrange strain field including all of the nonlinear higher-order terms. The desired responses are evaluated computationally using an original computer code (MATLAB environment) with the help of the current higher-order model and finite element steps. The nonlinear dynamic deflection values are obtained through the direct iterative method in conjunction with Newmark’s integration. Additionally, the accuracy of the proposed model is demonstrated via comparison study with the available published literature with and without electric field potential. The reduction of response frequencies is also compared with the in-house experimental data. Lastly, few more numerical examples are computed for the various geometrical parameter including the shell configuration and the comprehensive behaviour of the currently developed nonlinear numerical model for the analysis of smart layered structure discussed in details.
“…Nonlinear strain-displacement relations in any three dimensional elastic body in an orthogonal curvilinear coordinate system α 1 , α 2 , ζ are given in Kundu et al [71]. where for constant radius of curvature e 11, e 31, e 13 are given as…”
“…[51], nonlinear longitudinal strain in α 1 direction (ε 11 ) and shear strain in 1-3 plane (γ 13 ) are expressed as 13 (1) where for constant radius of curvature e 11, e 31, e 13 are expressed as In Eq. (2) u and w denote displacements in α 1 and ζ direction respectively.…”
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