A Chebyshev-based higher-order meshfree formulation for free vibration analysis of GPL-reinforced FG-TPMS plates

Chúc mừng TS. Thái Hoàng Chiến công bố công trình nghiên cứu trên tạp chí quốc tế uy tín Advances in Engineering Software

Viện Công nghệ tiên tiến (IAST), Trường Đại học Tôn Đức Thắng, xin gửi lời chúc mừng đến TS. Thái Hoàng Chiến về công bố quốc tế mới nhất trên Advances in Engineering Software

Bài báo có tựa đề: A Chebyshev-based higher-order meshfree formulation for free vibration analysis of GPL-reinforced FG-TPMS plates

Abstract: This study introduces a computational approach for the free vibration analysis of graphene-platelet-reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates. The proposed approach seamlessly combines Chebyshev polynomials with moving Kriging (CMK) meshless method and the third-order shear deformation theory, resulting in a unified Chebyshev-based computational framework for high-fidelity vibration analysis of macroscale architected functionally graded structures. The third-order Chebyshev shear deformation theory (TCSDT) accurately captures transverse shear effects while naturally satisfying zero transverse shear stress conditions at the plate surfaces. Meanwhile, the CMK meshless method achieves high numerical accuracy using only scattered nodes, without requiring element connectivity. The complex TPMS architectures are homogenized using a relative-density two-phase model, while the graded GPL distribution is modeled based on the Halpin–Tsai micromechanical model under different reinforcement patterns. The proposed CMK–TCSDT formulation demonstrates excellent agreement with available benchmark solutions, with an average relative error of approximately 1.0%, thereby confirming its accuracy and robustness. In addition, new benchmark results for annular and heart-cutout GPLR-FG-TPMS plates are provided, demonstrating the effectiveness, robustness and computational efficiency of the proposed framework for future analyses and the design optimization of architected functionally graded composite plates.

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