陽光小院暖茶 發表于 2015-5-14 13:10 ![]()
Q& [( \8 G4 m2 f3 }不好意思，我看題目看了幾遍，還不知道這個方程是咋樣的。光括號就讓我迷糊了。幫不了你了
+ N. ]- X+ a- Y( D3 A我用matlab 重新算了下 A1用t替換 B1用q替換 11/6 用替換 50用R2替換
! b5 J: c3 H/ T0 T>> syms t q a k A R2
) i! k) Z( e/ x6 V>> x=R2*t*sin(t)+a
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& N' e( s) ^* ^x =
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3 S0 d0 n2 c8 k2 la + R2*t*sin(t)6 u- A; {1 w* n% n4 q, r2 y
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>> y=R2*t*cos(t)* f, Q/ R- U# R( k; U
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R2*t*cos(t)
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>> x1=-x*cos(k*q)-y*sin(k*q)+A*cos(q)* m: c% o6 L1 W {8 ~- V
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x1 =
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* e1 y, X2 M& j& d0 jA*cos(q) - cos(k*q)*(a + R2*t*sin(t)) - R2*t*sin(k*q)*cos(t)* j0 ?! U4 [2 Y; w/ b! m1 a, z
& J& j0 X: @3 W>> y1=-x*sin(k*q)+y*cos(k*q)+A*sin(q)1 S$ y9 L A+ }2 G3 K7 _. B- z
% {0 o" ]) Y' O& v& ]2 Vy1 =5 y2 j6 {: q8 H* Z, z3 @
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A*sin(q) - sin(k*q)*(a + R2*t*sin(t)) + R2*t*cos(k*q)*cos(t)
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7 R1 |" ~! b- i/ t4 f9 T! f6 ?>> diff(x1,t)
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ans =
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6 ^$ c' X% c; }, K: s' NR2*t*sin(k*q)*sin(t) - R2*sin(k*q)*cos(t) - cos(k*q)*(R2*sin(t) + R2*t*cos(t))1 {& K4 Q/ `7 n4 J5 _9 j; T
( B5 X0 ^5 h" q v5 Y- \6 t, x>> diff(x1,q)# ~$ m( m% |2 u
/ W) X- [: p2 E0 B" Rans =
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k*sin(k*q)*(a + R2*t*sin(t)) - A*sin(q) - R2*k*t*cos(k*q)*cos(t)
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>> diff(y1,t)
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ans =1 h- W: F* C& A
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R2*cos(k*q)*cos(t) - sin(k*q)*(R2*sin(t) + R2*t*cos(t)) - R2*t*cos(k*q)*sin(t)* h' A `4 E1 O9 h
& f5 L2 |& T( y>> diff(y1,q)* N- \5 M1 a. Y- C, j; U4 x' j
! [+ R( R& g: y8 y% e8 t' Fans =5 L; H( w. x1 l9 [( R; v6 G+ Z
; p3 @4 ]0 s% G4 }A*cos(q) - k*cos(k*q)*(a + R2*t*sin(t)) - R2*k*t*sin(k*q)*cos(t), H" o4 P& ~% t! B; y
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>> f1=sym('(A*cos(q) - k*cos(k*q)*(a + R2*t*sin(t)) - R2*k*t*sin(k*q)*cos(t))*(R2*t*sin(k*q)*sin(t) - R2*sin(k*q)*cos(t) - cos(k*q)*(R2*sin(t) + R2*t*cos(t)))-(k*sin(k*q)*(a + R2*t*sin(t)) - A*sin(q) - R2*k*t*cos(k*q)*cos(t))*(R2*cos(k*q)*cos(t) - sin(k*q)*(R2*sin(t) + R2*t*cos(t)) - R2*t*cos(k*q)*sin(t))')
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8 G! f5 R- o$ N* F: s# sf1 =
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(k*cos(k*q)*(a + R2*t*sin(t)) - A*cos(q) + R2*k*t*sin(k*q)*cos(t))*(cos(k*q)*(R2*sin(t) + R2*t*cos(t)) + R2*sin(k*q)*cos(t) - R2*t*sin(k*q)*sin(t)) - (A*sin(q) - k*sin(k*q)*(a + R2*t*sin(t)) + R2*k*t*cos(k*q)*cos(t))*(sin(k*q)*(R2*sin(t) + R2*t*cos(t)) - R2*cos(k*q)*cos(t) + R2*t*cos(k*q)*sin(t))/ s; J8 W e5 ]$ U
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>> simplify(f1)
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7 K! N8 _$ x7 l0 k' Wans =7 I5 y8 z5 a% U
! \0 r2 y8 q1 o6 |, \A*R2*sin(q - t - k*q) + R2^2*k*t + R2*a*k*sin(t) - A*R2*t*cos(q - t - k*q) + R2*a*k*t*cos(t)
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令 A*R2*sin(q - t - k*q) + R2^2*k*t + R2*a*k*sin(t) - A*R2*t*cos(q - t - k*q) + R2*a*k*t*cos(t)=0
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3 X2 K% L/ O8 w" C: m則q的表達式可手算出來
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樓主: shouce
發表于 2015-5-14 11:01:26
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