Push f orce analysis of a cylinder linear motor

Transcription

1 Optics and Precision Engineering Vol. 12 No. 5 Oct X(2004) ,,,, (, ) :, :,,,,,,, :, ; 10 mm, N, : ; ; ; ; :O241 :A Push f orce analysis of a cylinder linear motor KON G Fan2rang, ZHAO Ji2wen, L IU Wei2lai, ZHAN G Ping, HE Qing2bo ( Depart ment of Precision M achi nery and Inst rumentation, U niv. of Science and Technology of Chi na, Hef ei , Chi na) Abstract : The st ruct ure of a cylinder linear motor is presented. And t he axial symmet ric vortex analytical equation, which fits for its structure characters, is established and the solution is given. This axial symmet2 ric FEM model is set up with the variation theory. Simulation results reveal that these two methods are consistent, and the analytical model is effective and efficient. Moreover, based on the analysis, a cylinder linear motor model was manufactured with appropriate structure parameters, and the change of the start pushing force measured. The test result s and t he calculations have t he same tendency and approximate val2 ue. It proves that the analytical model meets the calculation of the cylinder linear motor. Therefore, it veri2 fies the reliability of this method. Furthermore, the above research reveals that the cylinder linear motor meets the demand of driving the mobile sculpture shadily. The main structure parameters, such as the air gap, the thickness of the secondary end and those may affect the performances of the linear motor were also investigated. It is found that when the air gap increases, the pushing force decreases. When the thickness of the secondary is 10 mm, the pushing force reaches its maximal value of N. Key words : mobile sculpture ; linear motor ; electromagnetic field ; analysis ; FEM : ; : : (No )

2 ,,,, [122 ],,, [3 ],,,,, [425 ], [6 ],,,, :, 2, 1 Fig. 1 Construction of the traditional cylinder linear mo2 tor 2 Fig. 2 Construction of the new cylinder linear motor 3 [728 ] [9 ], 1,,, 3. 1, 2 :,,,,, ( 3),, Z, Z2r,, 2,, :,,,, ;,,

3 5, : Fig. 3 Analysis model of the new cylinder Linear motor ; [3 ] Maxwell (1) (2) [9210 ] : g H = J + 5 D 5 t g B = 0, B = H, D = E ; g E = - 5 B 5 t, (1) J = ( E + V z B ). (2) B ; H ; J ; E ; D ; ; ; V z A, g A = B (3) (1) (2) : g A = 0, (3) g 2 A = ( 5 A - V 5 t z g A), (4) V z s V s (5) V z = (1 - s) V s, (5), B r = B m e j ( t - z), (6) B m ; = 2 f, = 2 /, f, ( ) (5) (6) (4),,, 5 5 r 1 5 ( ra ) r 5 r + 52 A 5 z 2 + k 2 A = 0, (7) A ; [9 ], : k 2 = j sv s A = C 1 m = 0 ( - 1) m ( ar/ 2) 2 m +1 m!( m + 2)! ( C 2 cos hbz + C 3 sin hbz), (8) a, b, a 2 = k 2 + b 2, C 1 C 2 C 3, m = (1,2, ) : r = h, B r = B m e j ( t - z) r = h + g, B r3 = B r4 H r3 = H r4 r, A 5 = 0 C 1 C 2 C 3, A B r 3. 2, [2 ], F = J B, (9) F, 4,, F 4 = ( E 4 B 4 + V z B 4 B 4 ), (10) 0,,, F z4 = ( E 4 B r4 + V z B r4 B r4 ), (11) E 4 = 5 ( ra 4) / 5 t = - j ra 4, B 4 = 5 ( ra 4 ) / 5 t = j ra 4,, ^F z4 = [ ( 2 r 2 sv s ) Re ( A 4 A 4) 3 ]/ 2, (12),,, = ( 2 sv s ) F z h + g + p h + g r 2 Re ( A 4 A 3 4) d rd, (13) Z, [11212 ],

4 528 12,,, [13 ],, frontal A,, Maxwell, [14215 ], 6,,,, Y 4 (a), (b) 5 Fig. 5 Relationship between pushing force and site of secondary 6 Fig. 6 Relationship between pushing force and width of air space 4 Fig. 4 Geometric and FEM model of cylinder Linear mo2 tor 4. 2, ( h) F (Maxwell ) 5 :,,,, 7 Fig. 7 Relationship between Pushing force and thickness of secondary,, 4. 3,, 8,,, 380 V,, 5,

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