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Abstract In this paper, a meshless model of an arbitrary shell is established based on 3D continuous shell theory and the moving-least squares (MLS) approximation, where the moving-least squares approximation is used not only for geometric surface interpolation, but also for displacement field approximation. The meshless control equation describing the forced vibration of the arbitrary shell is derived using Hamilton's principle, and the equation is solved by the time-domain implicit Newmark method, and the full transformation method is used to impose the essential boundary conditions. Finally, several representative shell cases are calculated by MATLAB meshless program, and the calculated results are compared with ABAQUS finite element solutions to verify the effectiveness and accuracy of the present method to solve the arbitrary shell forced vibration.
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Received: 03 April 2023
Published: 11 April 2024
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2024, Vol. 45 
