Transient response of laminated plates with arbitrary laminations and boundary conditions under general dynamic loadings

Abstract

The dynamic analysis of laminated plates with various loading and boundary conditions is presented employing generalized differential quadrature (GDQ) method. The first-order shear deformation theory is considered to model the transient response of the plate. The GDQ technique together with Newmark integration scheme is employed to solve the system of transient equations governing dynamics of the plate. Different symmetric and asymmetric lamination sequences together with various combinations of clamped, simply supported, and free boundary conditions are considered. Particular interest of this study regards to asymmetric orthotropic plates having free edge and mixed boundary conditions. It is shown that the method provides reasonably accurate results with relatively small number of grid points. Comparison of the results with those of other methods demonstrates a very good agreement. It is also revealed that the present method offers similar order of accuracy for all variables including displacements and stress resultants.

Vibration reduction of composite plates by piezoelectric patches using a modified artificial bee colony algorithm

“…Each of the lamina is assumed to be same thickness ( / 0.01 h a = or / 0.005 h a = ). The transient responses of isotropic and orthotropic plates are compared with the results of numerical values carried out by Chen and Dawe (1996) and Maleki et al (2012), respectively.…”

Numerical transient responses of cut-out borne composite panel and experimental validity

“…The non-uniform rational Bspline (NURBS) based isogeometric FE approach has been adopted to compute transient responses of the thin layered composite structural plate. 33 Maleki et al [34][35][36] adopted the generalised differential quadrature (GDQ) method in association with the FSDT to compute the dynamic deflections laminated plate. The effectiveness of different types kinematic theories HSDT based mathematical models are used 37 to examine the transient responses of laminated components with and without delamination.…”

Numerical analysis of vibration and transient behaviour of laminated composite curved shallow shell structure: an experimental validation

“…The free vibration and the time-dependent displacement behaviour of the layered structure are examined based on the FSDT kinematics using an eight noded quadrilateral serendipity element [11][12][13]. Later, Shokrollahi and Shafaghat [14] examined the dynamic behaviour of the hybrid metal-composite thick trapezoidal plates using global Ritz method in FSDT kinematics.…”