Abstract
In this paper, the interpolating element-free Galerkin method (IEFGM) is introduced to calculate the magnetic field distribution of a novel permanent magnet bistable electromagnetic clutch (BPMEC), which is used in the in-wheel motor drive system to flexibly connecting the wheel and motor to release the mechanical shock and electromagnetic impulsion. Firstly, the fundamental of the IEFGM is introduced, and a new weight function for magnetic field calculation is proposed. Then the nodes distribution is discussed, and the magnetic field distribution of the clutch is analyzed. Simulation results show the IEFGM can impose the boundary conditions directly and fewer nodes are employed, make the calculation efficiency higher. Finally, some experiments are carried out, the experimental results verified the effectiveness of the IEFGM in magnetic field calculation. The study results provide references for the application of the interpolating element-free Galerkin method in the magnetic field calculation.
Highlights
Because of its simple mathematical structure and great versatility, the finite element method (FEM) is the most widely used solution method for potential problems [1]
Compared with the FEM, the element-free Galerkin method (EFGM) use moving leastsquares (MLS) approximation to obtain the shape function and it only requires a set of nodes and a description of boundary conditions
The shape function obtained by MLS approximation does not satisfy the property of Kronecker delta function, so the essential boundary conditions cannot be imposed directly [11], [12]
Summary
Because of its simple mathematical structure and great versatility, the finite element method (FEM) is the most widely used solution method for potential problems [1]. Compared with the FEM, the EFGM use moving leastsquares (MLS) approximation to obtain the shape function and it only requires a set of nodes and a description of boundary conditions. Authors of [13] presented an interpolating moving leastsquares (IMLS) method which can obtain the shape function that satisfied the property of Kronecker delta function, the boundary conditions can be applied directly as in FEM, and the error estimates of this method are discussed in [14]. The interpolating element-free Galerkin method is introduced to calculate the magnetic field distribution of a novel permanent magnet bistable. This paper developed the magnetic field analysis of the clutch based on the IEFGM, and the comparison with the FEM and experimental results verified the effectiveness of the IEFGM in magnetic field calculations. The study results provide references for the application of the IEFGM in magnetic field calculation
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