Free vibration characteristics analysis of orthotropic notched plate based on Green’s function

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (5) : 182-187.

YANG Yongyu1,2,LI Tengyue2,CHENG Changzheng2,ZHAO Hang1,GE Renyu1

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Abstract

Orthotropic anisotropic plates are widely used in engineering structures due to the light weight and high load-bearing capacity. A method is proposed to analyze the free vibration characteristics of orthotropic anisotropic plates based on the Green's function combining and Peridynamic differential operator (PDDO). Firstly, the displacement function in the vibration control equation is assumed to be the first-order integral form with Green's function. Secondly, the linear fourth-order partial differential equations are discretized into algebraic equations in the radial and circumferential directions of the notched plate, respectively. Finally, the generalized characteristic equation of free vibration is established by constructing PDDO interpolation functions to represent the non-common discrete point displacements, which can obtain the free vibration frequency and shape to prove the accuracy of the proposed method. The influence law of the notch geometry parameters on the vibration characteristics of the structure is analyzed, which can provide support for designing of the plate and shell structure.

Key words

Orthogonal anisotropic notched plate / Free vibration / Green's function / PDDO

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YANG Yongyu1,2,LI Tengyue2,CHENG Changzheng2,ZHAO Hang1,GE Renyu1. Free vibration characteristics analysis of orthotropic notched plate based on Green’s function[J]. Journal of Vibration and Shock, 2024, 43(5): 182-187

References

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