An element-free Galerkin approach for rigid–flexible coupling dynamics in 2D state
| Autor: | Kailin Jian, Dan Xie, Weibin Wen |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Coupling
Discretization Applied Mathematics Mathematical analysis 02 engineering and technology 01 natural sciences Displacement (vector) 010101 applied mathematics Computational Mathematics Nonlinear system symbols.namesake 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering symbols Hamilton's principle Boundary value problem 0101 mathematics Moving least squares Galerkin method Mathematics |
| Zdroj: | Applied Mathematics and Computation. 310:149-168 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2017.03.040 |
| Popis: | Based on an improved element-free Galerkin (EFG) method and the geometric nonlinear elastic theory, an element-free numerical approach for rigidflexible coupling dynamics of a rotating hubbeam system is implemented. Using the Hamilton principle, the coupled nonlinear integral-differential governing equations are derived, in which the dynamic stiffening effect is expressed by the longitudinal shrinking of the beam induced by the transverse displacement. By the EFG method where the global interpolating moving least squares (IMLS) and generalized moving least squares (IGMLS) were used for discretizing the longitudinal and transverse deformation variables, respectively, the spatially element-free discretized dynamic equations of the system are obtained and the Newmark scheme was selected as the time integration method for the numerical computation. The superiority of the global interpolating property makes the ease for imposing both displacement and derivative boundary conditions. The transverse bending vibration and structural dynamics of the flexible beam in non-inertial system are analyzed in the numerical simulations and influence parameters of the EFG method are also fully discussed. Simulation results verify the feasibility of the improved EFG approach for rigidflexible coupling dynamics. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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