唐军-碳碳化硅材料纵扭复合超声铣削系统及加工稳定性研究3

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⎧ Nkl2 tan kl L1 + γkl sh hγL2 + Nkl kl′ tan kl′L2 ⎪tan(kl L3 ) = (Nkl kl′ tan kl L1 + γkl′shγL2 ) ta tan kl′L2 + Nkl3 ⎪ ⎨ 2 sh 2γL2 + Nkt kt′ tan k ′L2 ⎪tan(k L ) = Nkt tan kt L1 + 2γkt sh t 3 ⎪ (Nkt kt′ tan kt L1 + 2γkt′sh2γL2 ) tan kt′L2 + Nkt3 ⎩ 2%00
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an( (kt L2 ) + 2(1 − N )αkt + 2αNkt tan(kt L2 ) tan(kt L1 ) + kt2 + 4α 2 N tan( B3-7F 2 tan(kt L2 ) − 1 kt tan(kt L1 ) tan(kt L2 ) + 2αkt t
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jk t j tan( an( n(kt L3 ) j tan k t L jk t D
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⎡ ⎛ ⎤ ⎞ α ⎟ + + ( c N ⎢− ⎜ sin( k L ) cos( k L ) sin( k L ) cos( k L ) cos( k L ) ⎥ l 1 l 1 l 2 l 2 l 1 ⎜ ⎟ kl ⎝ ⎠ ⎦ ⎣ Ml = cos(kl L3 )
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⎡ ⎛ ⎤ ⎞ 2α ⎟ + + os( s( ) s sin( N ⎢− ⎜ sin( k L ) cos( k L k L ) cos( k L ) cos( k L ) ⎥ t 1 t 1 t 2 t 1 t 2 ⎜ ⎟ kt ⎝ ⎠ ⎣ ⎦ Mt = c cos( os kt L3 )
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ρ cl s 3 ρcl s1 ρc s αN ρcl s2 ρc s α N 3 3 2 − l 1 + l 2 1 a22 = 1 a11 = a22 = 1 j tan( k l L3 ) j tan k l L jk l j tan kl L jkl
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1 a11 = a1 22 =


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* ⎤ ⎡ F1 ⎤ a12 ⎥ * ⎥⎢ a22 ⎦ ⎣ v1 ⎦
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2 3 ⎤ ⎡ a11 a12 2 ⎥⎢ 3 a22 2 ⎦ ⎣ a 21 2
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1 1 = b22 = b11
ρct I p1
j tan(k t L1 )
1 1 1 b21 = b12 =
ρct I p1
j sin(kt L1 )
1 b22 =
2
2 2 1 b12 = b21 =
ρct I p1 I p 3
j sin( kt L2 )
1
j tan k t L
3 3 = b21 = b12

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2 2 3 1 1 3 ⎡ M 3 ⎤ ⎡b11 ⎡M 1 ⎤ ⎤ ⎡b11 ⎤ ⎡b11 ⎤ ⎡M 1 ⎤ b12 b12 b1 1 2 3 12 • ⎥ =T T T ⎢ • ⎥ ⎢ • ⎥=⎢ 1 ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ 2 1 2 3 3 b22 ⎢ ϕ1 ⎦ ⎥ ⎢ ϕ1 ⎦ ⎥ ⎥ ⎣b21 b22 ⎦ ⎣b21 b2 ⎢ ϕ3 ⎦ 22 ⎦ ⎣b21 ⎦⎣ ⎣ ⎣
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ρct I p 3
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G'JKVV7`4L 3-5 NJ= = *7
* * * * LE7 b11 1 7b 12 7 b21 M b22 ?I`TUV 1
* \V, L L-947 M 1 = M 3 = 0 D'L 3-6 E b12 A 'RD7 2 = 07
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