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Steel and Composite Structures
  Volume 42, Number 5, March10 2022 , pages 599-615

Computational mathematical modeling of the nonlinear vibration characteristics of AFG truncated conical nano pipe based on the nonlocal strain gradient theory
Ruihua Zhang and Yiqing Cao

    In the present paper, the numerical dynamic analysis of a functionally graded nano-scale nonuniform tube was investigated according to the high-order beam theory coupled with the nonlocal gradient strain theory. The supposed crosssection is changed along the pipe length, and the material distribution, which combines both metal and ceramics, is smoothly changed in the pipe length direction, which is called axially functionally graded (AFG) pipe. Moreover, the porosity voids are dispersed in the cross-section and the radial pattern that the existence of both material distribution along the tube length and porosity voids make a two-dimensional functionally graded (2D-FG) truncated conical pipe. On the basis of the Hamilton principle, the governing equations and the associated boundary conditions equations are derived, and then a numerical approach is applied to solve the obtained equations.
Key Words
    2D-FG; AFG; dynamic analysis; nonlocal strain gradient theory; nonuniform pipe; porous material
Ruihua Zhang:College of Mechanical Engineering, Nantong Vocational University, Nantong 226007, Jiangsu, China

Yiqing Cao: School of Mechanical and Electrical Engineering, Putian University, Putian 351100, Fujian, China

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