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Natural frequencies of functionally graded plates by a meshless method |
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| Authors: | AJM Ferreira RC Batra CMC Roque LF Qian RMN Jorge |
| Affiliation: | aDepartamento de Engenharia Mecânica e Gestão Industrial, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal bDepartment of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA cDepartment of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China |
| Abstract: | We use the global collocation method, the first and the third-order shear deformation plate theories, the Mori–Tanaka technique to homogenize material properties, and approximate the trial solution with multiquadric radial basis functions to analyze free vibrations of functionally graded plates. Frequencies computed by the present method are found to agree well with those from the analytical solution of Vel and Batra, and the numerical solution of Qian et al. based on the meshless local Petrov–Galerkin formulation. |
| Keywords: | Collocation method Multiquadrics Natural frequencies Functionally graded plates |
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