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Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method |
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| Authors: | C.M.C. Roque J.N. Reddy |
| Affiliation: | a INEGI, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal b Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal c Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA |
| Abstract: | The nonlocal elasticity theory of Eringen is used to study bending, buckling and free vibration of Timoshenko nanobeams. A meshless method is used to obtain numerical solutions. Results are compared with available analytical solutions. Two different collocation techniques, global (RBF) and local (RBF-FD), are used with multi-quadrics radial basis functions. |
| Keywords: | Nanobeams Meshless methods Nonlocal theory |
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