Application of a Modified Differential Quadrature Finite Element Method to Flexural Vibrations of Composite Laminates with Arbitrary Elastic Boundaries

This paper formulates a modified differential quadrature finite element method (DQFEM) by combination of the standard DQFEM and virtual boundary spring technique, which makes it easy to implement arbitrary elastic restraints assigning reasonable values stiffnesses. new formulated can offer unified solution for flexural vibrations composite laminates subjected general combinations including all classical cases. The influences number Gauss–Lobatto nodes stiffnesses on convergence characteristics natural frequencies are investigated, some conclusions drawn in terms minimum unilateral required generate convergent solutions optimal simulate boundaries. Numerical examples performed under various conditions. Excellent accuracy, numerical stability, reliability present demonstrated comparisons with available exact open literatures. Additionally, elastically constrained laminates, beyond scope most existing approaches, numerous results obtained may serve as reference other research.