$$$$ BIOT NOTICE CHAT 11/09/12 21:15:12 7124 DATE 11/09/12 Operateur BIOT Voir aussi : -------------- Cas 1 : ----- CHPO1 = BIOT |('POTE')| |('INDU')| GEO1 | 'CERC' CENTR1 POIN1 POIN2 RI RE H | | 'ARC' CENTR1 POIN1 POIN2 RI RE H | | 'BARR' POIN1 POIN2 POIN3 DY DZ | | 'FIL' POIN1 POIN2 | ('TRAP' P1 P2) DENS MU0 ; Cas 2 : ----- CHPO3 = BIOT CHPO2 GEO1 ; Description : ____________ Case 1 : ----- The BIOT operator constructs the Biot et Savart induction field or vector potential created over the GEO1 object by a part of line, surface or massive inductor of rectangular (default) or trapezoidal cross section. It works only in 3D. Case 2 : ----- L'operateur BIOT construit le champ d'induction et le flux cree The BIOT operator constructs the Biot et Savart induction and flow fields created over the GEO1 object by one (or several) current curl(s) centered around the z axis by an elliptic integral method. The flow of the induction field at any point of GEO1 is computed through the z axis circle generated by this very point. It works only in 3D. Contents : __________ 'POTE' : vector potential calculation is required. 'INDU' : induction calculation is required. GEO1 : geometrical object supporting the field to be computed (MAILLAGE type) The spiral can either be a closed circle, or an arc of a circle or a bar or else a wire, depending on the key word. Therefore the data are : 'CERC' : key word followed by : CENTR1 : circle centre (POINT type) POIN1 | two points of the spiral plane (POINT type) POIN2 | RI : spiral internal radius (FLOTTANT type) RE : spiral external radius (FLOTTANT type) H : spiral total height (FLOTTANT type) Remark : Using well-adapted values for RI, RE and H allows to model either a circular wire or circular current surfaces as well. RI = RE et H = 0 : circular spiral RI = RE et H > 0 : cylindrical surface H = 0 : crown 'ARC' : key word followed by : CENTR1 : circle centre (POINT type) POIN1 | two points of the spiral plane (POINT type) POIN2 | RI : spiral internal radius (FLOTTANT type) RE : spiral external radius (FLOTTANT type) H : spiral total height (FLOTTANT type) Remark : Using well-adapted values for RI, RE and H allows to model either a circular wire or circular current surfaces as well. RI = RE et H = 0 : piece of circular spiral RI = RE et H > 0 : piece of cylindrical surface H = 0 : piece of crown 'BARR' : key word followed by : POIN1 : centre of gravity of the initial section (POINT type) POIN2 : centre of gravity of the final section (POINT type) POIN3 : point defining the bar local axis oy (POINT type) DY : bar width in the plane POIN1 POIN2 POIN3 DZ : bar width in the plane at 90 from the previous Remark : Using well-adapted values for DY, and DZ allows to model rectangular current surfaces. DZ = 0 : rectangular surface lying in the plane xOy DY = 0 : rectangular surface lying in the plane xOz 'FIL' : key word followed by : POIN1 : first extremity of the straight wire (POINT type) POIN2 : second extremity of the straight wire (POINT type) 'TRAP' : key word used to define a trapezoidal cross section : In the circular case, we assume that the cross section lies in the plane (r,z) and that the parallele edges are along the z-direction of the rotation axis. In the linear case, we assume that the cross section lies in the plane (x,z) and that the parallele edges are along the z-direction. We can then define the slopes in the cross section local coordinates system. P1 : lower slope of the trapezoidal cross section (FLOTTANT TYPE) P2 : upper slope of the trapezoidal cross section (FLOTTANT TYPE) Remark : Using well-adapted values for P1, and P2 allows to model either triangular cross section inductors or conical part current surfaces as well. P1 = P2 and H = 0 : conical case (circular case) H = |P2 - P1|(RE-RI)/2 : triangular cross-section DENS : current density (A/m2 in the massive case, A/m in the surfacic case, A in the linear case) in the inductor cross section (FLOTTANT type), considered positive as follows : - 'CERC' case : in the trigonometric direction connected with CENTR1, POIN1, POIN2 - 'ARC' case : from POIN1 to POIN2 - 'BARR' case : from POIN1 to POIN2 - 'FIL ' case : from POIN1 to POIN2 MU0 : vacuum permeability allocated to the unit of length used (FLOTTANT type) CHPO1 : induction field (CHPOINT type) of components BX BY BZ or vector potential (CHPOINT type) of components AX AY AZ, according to the corresponding key-word. CHPO2 : (CHPOINT type) object discribing the inductors centered around the z axis. Each one is defined by a point in the geometrical support and 2 components : - 'E' (m2) plane section (default E = 1.e-5 m²) - 'I' (A) current intensity (default I= 1 A ) . CHPO3 : (CHPOINT type) result. The components are : BX BY BZ for the induction field, FLUX is the flow.
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