Bill Cowan Sandia coil gun NASA NASA Maglev tracks [1] [] [3] x y x z xyz S ẍ = Ωẏ + Ω x Gm1 r1 3 ÿ = Ωẋ + Ω y Gm 1 r 3 1 z = Gm 1 r 3 1 z Gm z r 3 (x
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- 唐 董
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1 LRC 1/ Kristian Birkeland Birkeland gun 4m 1kg 1m/s1961 Thom and Norwood coil gun1966 Winterberg transmission line coil gun 197 Marshall rail gun 197 Gerard O Neill mass driver 199 Mongeau Kolm quench gun 199 coil gun 1
2 Bill Cowan Sandia coil gun NASA NASA Maglev tracks [1] [] [3] x y x z xyz S ẍ = Ωẏ + Ω x Gm1 r1 3 ÿ = Ωẋ + Ω y Gm 1 r 3 1 z = Gm 1 r 3 1 z Gm z r 3 (x + π r 1 ) Gm (x π r 3 1 r 1 ) y Gm y r 3 Ω G m 1 m r 1 r π 1 = m 1 m 1+m π = m m 1+m r 1 S u θ ϕ ξ η γ (u, ξ, η, ϕ, θ, γ) (x, ẋ, y, ẏ, z, ż) S ξηγ u Ma 1 F drag = F p + F f (1) F p = 1 C pρav () ρ A C p = K sin θ [4] K =.38 +
3 3.379θ.51θ θ θ 4 θ ρ S C f F f = 1 C fρsv (3) [5] Re > 1 7 C f =.455 (lgre).58 Re θ = 1 C p C f.1 [6] η A M A =.m M = t v=9.8km/s η = 5 8.9km/s v = as 5km() 1m/s 1g 1 LRC LRC I(t) = CU e Rt LC sinh( R 4LCt LC ) R 4LC (4) I L R C U B = µ r ci (r c + h ) 3/ (5) B r c h LCRU B t L=.1mH, C=.1F, R=5mΩ, U =5MV 4T m m = B p l p + (r p ) πr p/µ (6)
![4 1: [8] B p l p r p F B F B = (m B) = m B h h a(t) = m Ml (B(h(t) + l p/) B(h(t) l p /)) (8) M a h h h(t) a(t) (8)](/docs-images/91/105671417/images/4-0.jpg "(9) h (t) = v(t), v (t) = a(t) (9) h = l p / T /4 v T sinh r c = 1ml p = 1mπr p = 1m B p = 1.4T 1 T 3 (7) 1.")
4 4 1: [8] B p l p r p F B F B = (m B) = m B h h a(t) = m Ml (B(h(t) + l p/) B(h(t) l p /)) (8) M a h h h(t) a(t) (8) (9) h (t) = v(t), v (t) = a(t) (9) h = l p / T /4 v T sinh r c = 1ml p = 1mπr p = 1m B p = 1.4T 1 T 3 (7) 1.4T 1T 1g
5 5 : LRC t B 3: t a
6 6 Mr 3 1T B B B= T T LRC LR 4 c (channel) p (projectile) Neumann i j M ij M ij = µ 4π C i C j ds i ds j R ij C i C j ds i ds j R ij (1) M cp = µ 4π N cπ N pπ N c π N p π (1) cos(θ 1 θ )r c dθ 1 r p dθ (11) rc + rp r c r p cos(θ 1 θ ) + (h + θ 1 l N c π c + θ l N p π p) M cp c p N r l h h h
7 7 Rc Ic Ic Ip Lc Lp Rp C Mcp 4: L L p = µ N p A p /l p ; L c = µ N c A c /l c (1) A p A c A p A di c U = R c I c + L c dt + M di p cp dt + I dm cp p dt = R p I p + L p di p dt + M cp I c = C du dt di c dt + I c dm cp dt U R I L C M cp F M dm cp F M = (m B) = I c I p dh m B dh dt = v (17) dv dt = I ci p dm cp M dh (18) du dt = I c C (19) di c dt = (R dm cp pi p M cp + I c M cp dh v R dm cp ci c L p I p L p dh v + UL p)/(l c L p Mcp) () di p dt = (R dm cp ci c M cp + I p M cp dh v R dm cp pi p L c I c L c dh v UM cp)/(l c L p Mcp) (1) M (13) (14) (15) (16)
8 8 h/m x 14 v/(m/s) x 16 U/V I c /A x 15 1 x 14 I p /A 5 1 a/(m/s ) x 1 5 x 1 5 M/H ( M/ x)/(h/m) : 1 4 m/s h =.1m, v = 1m/s, U = 4kV, I c =, I p = A, N c =, N p = 8, r c = 1m, r p =.9m, l c = 1.5m, l p = 1.5m, C = 1.17F, M = t, R c =.1mΩ, R p =.1mΩ.
9 9 h/m x x 14 v/(m/s) x x 17 U/V I c /A x 1 3 x x x 14 I p /A a/(m/s ) M/H x x x 1 3 ( M/ x)/(h/m) x x x 1 3 6: m/s h = m, v = 1m/s, U = 4kV, I c =, I p = A, N c = 1, N p = 1, r c = 1m, r p =.9m, l c = 3m, l p = 1m, C = 1.17F, M = t, R c =.1mΩ, R p =.1mΩ.
10 1 5 6 v = 1m/s v = 1m/s 1 m 1 m [7] 5MJ U = 4kV C =.17F 1 C = 1.7F I p I c h (16)I c I p dmcp dh LRC T = π LC L (1) dm cp h dh 5 6 1m/s v = 1m/s v = 1m/s (v 1m/s) C LRC [9] [1] P. Putman. Milestones in cannon launch to space. EM Launch CompetitorsGuide, 6.
11 11 [] W.R. Snow and H.H. Kolm. Electromagnetic launch of lunar material. In Space resources, volume 59, page 117, 199. [3] E.W. Davis. Advanced propulsion study. Technical report, DTIC Document, 4. [4].., [5].., 9. [6] engineeringtoolbox. U.S standard atmosphere. [7] T. Herrmannsdörfer, H. Krug, F. Pobell, S. Zherlitsyn, H. Eschrig, J. Freudenberger, K. H. Müller, and L. Schultz. The high field project at Dresden/Rossendorf: a pulsed 1 t/1 ms laboratory at an infrared free-electron-laser facility. Journal of Low Temperature Physics, 133(1):41 59, 3. [8] Coilgun, September 1. Page Version ID: [9].. Undergraduate thesis, Peking University, Beijing, China, 1. [1] JA Andrews and JR Devine. Armature design for coaxial induction launchers. Magnetics, IEEE Transactions on, 7(1): , [11] JM Schroeder, JH Gully, and MD Driga. Electromagnetic launchers for space applications. Magnetics, IEEE Transactions on, 5(1):54 57, [1] S.K. Ingram. Theoretical analysis of a collapsing field accelerator. Magnetics, IEEE Transactions on, 9(1): , [13] AA Kuijpers, C. Nemlioglu, F. Sahin, A. Verdel, JC Compter, and EA Lomonova. Force analysis of linear induction motor for magnetic levitation system. In Power Electronics and Motion Control Conference (EPE/PEMC), 1 14th International, page S3 17, 1. [14] M.M. Widner. WARP-1: a numerical simulation model for the cylindrical reconnection launcher. Magnetics, IEEE Transactions on, 7(1): , [15] W. Snow, R. Dunbar, J. Kubby, and G. O Neill. Mass driver two: A status report. Magnetics, IEEE Transactions on, 18(1):17 134, 198. [16] N. Nottke and C. Bilby. A superconducting quenchgun for delivering lunar derived oxygen to lunar orbit. NASA Contractor Report, :1, 199. [17] JA Andrews. Coilgun structures. Magnetics, IEEE Transactions on, 9(1):637 64, [18] DA Bresie and SK Ingram. Coilgun technology at the center for electromechanics, the university of texas at austin. Magnetics, IEEE Transactions on, 9(1): , 1993.
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Bài tập trắc nghiệm sóng cơ và sóng âm - Download.com.vn
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