Free Vibration Analysis of Composite-Faced Soft-Core Sandwich Plates Using a High-Order Theory

摘要

In this research, free vibration analysis of composite-faced soft-core sandwich plates is conducted using a higher-order theory. Third-order shear theory is used to model face sheets and third- and second-order functions are used to model the in-plane and transverse displacements of the core. Therefore, the in-plane and transverse flexibility of the core is considered in this theory. The theory is also capable of satisfying the continuity of transverse shear stresses and zero shear stress conditions on both upper and lower surfaces of a plate. The equations of motion are derived using Hamilton's principle, and an analytical solution of these equations is presented for simply supported sandwich plates. To evaluate the accuracy and efficiency of the present theory, the obtained results are compared with those obtained by the elasticity method and other valid theories. Studies show that the results of the present theory fit quite well with accurate answers.