Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (1): 135-152.doi: https://doi.org/10.1007/s10483-026-3341-8

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Stiffness and natural vibration of a rotating sandwich metal porous cantilever pre-twisted plate reinforced by graphene

Chengmin NIE1, Fu GUO1, Yuxin HAO1,(), Xiaojun GU2   

  1. 1.College of Mechanical and Electrical Engineering, Beijing Information Science and Technology University, Beijing 100192, China
    2.Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China
  • Received:2025-07-10 Revised:2025-10-21 Online:2026-01-01 Published:2025-12-30
  • Contact: †Yuxin HAO, E-mail: bimhao@163.com
  • Supported by:
    National Natural Science Foundation of China(12272056);Project supported by the National Natural Science Foundation of China (Nos. 12272056 and 11832002)

Abstract:

With the continuous increase in performance requirements for power systems in the aerospace and low-altitude economy sectors, designing lightweight and high-strength blade structures with excellent dynamic characteristics has become critical. This paper puts forward a dynamic model for a rotating functionally graded graphene-reinforced (FG-GPR) sandwich metal porous cantilever pre-twisted plate (PTP), aiming to analyze its natural vibration characteristics. To this end, the mixture principle and the revised Halpin-Tsai model are used to determine the parameters of graphene and porosity distributions in the core layer. With the classical plate theory, the Rayleigh-Ritz method, and the polynomials, the dynamic equations are derived to solve for the free vibration mode shapes and frequencies of the rotating FG-GPR sandwich metal porous cantilever PTP. The comparison of natural frequencies and mode shapes with available literature results confirms the precision of the theoretical formulation and numerical computations. The bending stiffnesses are analyzed. Finally, the effects of different graphene/pore distributions, length-to-thickness/width ratios, layer thickness ratios, twist angles, and rotational speeds on the natural frequencies of the system are systematically investigated.

Key words: sandwich pre-twisted plate (PTP), metal porous, graphene-reinforced (GPR) composite, natural vibration

2010 MSC Number: 

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