1999
DOI: 10.1109/20.767392
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Application of macro-element and finite element coupling for the behavior analysis of magnetoforming systems

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Cited by 16 publications
(6 citation statements)
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“…Rather, the effects of velocity are treated by a special technique that consists in creating a geometric band subdivided into sub-regions designating the tube as a part of air, to which appropriate physical properties are assigned at each displacement step. A macro-element of time-dependent width has been used to model the expanding gap between the coil and tube (Mohellebi et al, 1998;Azzouz et al., 1999). The simulation of deforming process is obtained by the modification of the macro-element size through the modification of its matrix while retaining the same mesh topology.…”
Section: Introductionmentioning
confidence: 99%
“…Rather, the effects of velocity are treated by a special technique that consists in creating a geometric band subdivided into sub-regions designating the tube as a part of air, to which appropriate physical properties are assigned at each displacement step. A macro-element of time-dependent width has been used to model the expanding gap between the coil and tube (Mohellebi et al, 1998;Azzouz et al., 1999). The simulation of deforming process is obtained by the modification of the macro-element size through the modification of its matrix while retaining the same mesh topology.…”
Section: Introductionmentioning
confidence: 99%
“…This equation is coupled with the magnetic field equation through the magnetic force which is computed by Maxwell stress tensor method and the modified flux distribution due to the moving part displacement. The high accuracy required for taking into account the moving parts in the linear stepping motors has led us to adopt the Macro-Element (ME) technique [11,12] compared to the movement techniques used in [2,3,[13][14][15][16]] to simulate the movement in linear devices. The ME technique is based on the analytical solution of Laplace equation in the unmeshed air-gap region which separates the meshed fixed and mobile regions.…”
Section: Introductionmentioning
confidence: 99%
“…are the numbers of the meshed region nodes and Macro-Elements boundary nodes respectively. The contribution of the Macro-Element to the global stiffness matrix is considered by the term of the matrix ME ij M and is given by [11,12] as:…”
mentioning
confidence: 99%
“…They reduced the analysis time by differentiating the size of mesh of the coil part and forming material part, and expanding the mesh size of the unnecessary parts to be analyzed. In addition, they improved accuracy by controlling the size of mesh of the parts that are required to be accurate [2]. In 2005, Yu et al conducted an analysis using circular tubes and the ANSYS commercial analysis program.…”
Section: Introductionmentioning
confidence: 99%