An Extended Finite Element Framework for Free Vibration Analysis of Laminated Composite Plates

In this work, an extended finite element method is used for free vibration analysis of cracked composite laminated plate based on higher order shear deformation theory. During the service condition, the composite laminate plate typically undergoes vibration under transverse shear loading. The cracks present in the structure affect the vibrational property. XFEM formulation has been developed based on HSDT theory for composite laminate plates to analyze this vibrational property. To check the performance and accuracy of the developed formulation, a parametric study is performed in which natural frequency of plate is analyzed with different boundary conditions and crack sizes. The numerical results clearly show that different boundary conditions and crack sizes significantly affect the natural frequency of laminated plates.