A novel meshfree method for free vibration behavior of the functionally graded carbon nanotube-reinforced composite plates using a new shear deformation theory

Chúng tôi vui mừng thông báo TS. Thái Hoàng Chiến và các đồng nghiệp đã xuất bản công trình có tựa đề “A novel meshfree method for free vibration behavior of the functionally graded carbon nanotube-reinforced composite plates using a new shear deformation theory” trên tạp chí Computers & Mathematics with Applications.

Tóm tắt:

This study investigates the free vibration behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates using a novel approach. This approach employs Chebyshev polynomials to represent both new shear deformation theory and moving Kriging meshfree shape functions. The proposed theory, termed the third-order Chebyshev shear deformation theory (TCSDT), automatically fulfills the zero of shear stresses on the top and bottom surfaces. To improve the accuracy of the solution, Chebyshev polynomials are replaced by the traditional polynomials to construct a new set of Chebyshev-based moving Kriging meshfree shape functions. Besides, the FG-CNTRC plate consists of a matrix material reinforced with carbon nanotubes (CNTs), distributed in a graded manner along the thickness direction, with four distribution types: uniform (FG-UD), V distribution (FG-V), O distribution (FG-O), and X distribution (FG-X). The equilibrium equations are derived using TCSDT in conjunction with the principle of virtual work and are subsequently solved using the Chebyshev moving Kriging (CMK) meshfree method. The numerical outcomes are compared with the reference solution, showing good agreement. Furthermore, the impact of the CNTs volume fraction, CNTs distribution, and geometry on the free vibration of the FG-CNTRC plates are examined.