In this work, the numerical model of a variable stiffness composite laminated (VSCL) plate is developed to investigate the dynamic transverse deflection responses. The fiber orientation is considered in curvilinear form to achieve the variable stiffness configuration.
The higher-order displacement kinematics and finite element (FE) concept are used to derive the mathematical model. The panel is discretized using isoparametric elements with 81 degrees of freedom (DOF) per element to achieve the required mathematical formulation. The final governing equation is derived based on Hamilton’s principle. Further, the dynamic central deflection responses are obtained utilizing Newmark’s time integration method with the constant average acceleration.
The convergence and accuracy of the present numerical model are verified. Later on, the present numerical model’s capabilities are tested by solving the different numerical illustrations, including the effects of geometrical parameters, boundary conditions, material properties, fiber orientations and the number of fiber layers on the dynamic response of VSCL plates under uniformly distributed load.
Most existing research on the modeling and analysis of VSCL panels has relied on analytical methods or lower-order theories. Studies that incorporate higher-order theories have primarily focused on static and modal analyses, with limited attention to time-dependent deflection behavior. To bridge this gap, a numerical model of a VSCL panel reinforced with curved fibers is developed using higher-order theory and the finite element method to investigate its transient dynamic deflection.
