Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration

Abstract

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.

Review of composite – laminated material analysis in MATLAB using Piezo – electric sensor and actuator

“…The structure was dynamically simulated using interpolated vibration data files, while the orthotic material properties of the MFC and the carbon fiber composite were individually determined for accuracy Lahoti et al [46]. And Singh et al [47] computed the geometric distortion of the smart jacket plate structure across the Green-Lagrange strain field including all higherorder nonlinear terms. Desired responses are evaluated mathematically using native computer code in the MATLAB environment with the help of the current top-order model and finite element steps.…”

On the roles of strain gradient tensors in quasi‐3D nonlinear dynamics of microplate‐type piezoelectric systems of energy harvesting under triangular mechanical actuation

“…Nosouhi and Parvizi 36 anticipated the electro-thermo-mechanical behaviors of spherical piezoelectric vessels using infinitesimal strain theory. Singh et al 37 introduced a nonlinear mathematical formulation with and without collocation configuration for dynamic analysis of curved structures made of smart composites. Lu et al 38 developed a numerical model to predict the vibration behaviors of FG piezoelectric plates based on the first-order shear flexible theory and Ritz methods.…”