In-Plane Vibration Analysis of Square Plate with Multiple Cutouts

A theoretical solution method for the in-plane vibration characteristics of the plate with cutouts is proposed in this paper. The energy principle in conjunction with the Rayleigh–Ritz solution technique is adopted for the theoretical modeling of the in-plane vibration of the structure. The energy f...

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Bibliographic Details
Published in:Shock and vibration 2021, Vol.2021 (1)
Main Authors: Shi, Shuangxia, Qi, Yinlang, Zhang, Changqing, Meng, Qingtai, Liu, Yinbei, Jin, Guoyong, Xiao, Bin
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Civil engineering
Domains
Energy
Finite element method
Fourier series
Influence
Investigations
Methods
Numerical analysis
Square plates
Vibration
Vibration analysis
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Summary:A theoretical solution method for the in-plane vibration characteristics of the plate with cutouts is proposed in this paper. The energy principle in conjunction with the Rayleigh–Ritz solution technique is adopted for the theoretical modeling of the in-plane vibration of the structure. The energy functions for the plate with cutouts are established by subtracting the energies of the cutout domains from the total energies of the whole plate. To ensure continuity over the entire solution domain, the in-plane displacements are composed of two-dimensional standard Fourier series and supplementary functions. The in-plane eigenmodes of the plates with different square cutouts are compared with the results obtained from the finite element method (FEM), with good agreements. The influences of the cutouts on the in-plane vibration characteristics of the plates with cutouts are investigated by varying the number, size, and position of the cutouts.
ISSN:1070-9622
1875-9203
DOI:10.1155/2021/5540123