Free Vibration Analysis of Rectangular Fgm Plates with a Cutout

5th International Conference on Environmental Science and Civil Engineering

生态环境科学;土木建筑工程

Zhang, Jun^1^2^3 ; Li, Tianyun^1^2^3 ; Zhu, Xiang^1^2^3

School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan, China^1

China Ship Development and Design Center, Wuhan, China^2

Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, China^3

关键词: Cutouts;    Elastic potential energy;    Energy method;    Free vibration characteristic;    Free-vibration analysis;    Functionally graded material (FGM);    Practical engineering problems;    Rayleigh-Ritz methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/283/1/012037/pdf
DOI  :  10.1088/1755-1315/283/1/012037

来源: IOP

【 摘 要 】

Rayleigh - Ritz method was introduced to analyze the free vibration characteristics of functionally graded material (FGM) rectangular plate with a cutout in complex boundry conditions. The virtual spring model was adopted to simulate the complex boundary conditions. The Improved Fourier series was chosen as the admissible functions for its great property. Combining numerical method, the strain energy and kinetic energy of the plate without the cutout and of the cutout were obtained. By doing subtraction, the energy of the plate with a cutout can be obtained. And the elastic potential energy of the border was given. Finally, comparing the results with the references, the accuracy and convergence of this method can be proved, providing a reference for the practical engineering problem.