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标题: 麻烦大家帮忙看下mathematical编的程序，不知道哪里出错了 [打印本页]
作者: 游龙游龙    时间: 2014-7-7 17:15
标题: 麻烦大家帮忙看下mathematical编的程序，不知道哪里出错了
本帖最后由 游龙游龙 于 2014-7-8 14:45 编辑 . ?3 _# \& }) X, k3 f6 U: u

$ K( A# W, M8 O麻烦大家帮忙看下这个程序，不知道哪里出错了，小弟是刚入门，请高手指教" A. S  o' `9 a5 U7 k  t
行列式求不出，画图找不到根
9 }+ x+ q0 E9 P* k7 W% K" p(*定义材料常数*)5 ^& U. ^( |; a1 E) d
Subscript[\[Nu], TL] = 0.25;
+ c: V* g9 z% B  c8 |9 pSubscript[EE, L] = 53.8*10^9;(*L方向的弹性模量*)
- ?. |, X/ f$ L. s, DSubscript[EE, T] = 17.93*10^9;(*T方向的弹性模量*)* e! s' j8 E: R* r- N( C& R1 e% L
Subscript[G, LT] = 8.96*10^9;(*LT方向的剪切模量*)
1 m2 K! {" X) r2 q% D5 |Subscript[\[Nu], LT] =
# s  s) x! `" K4 z" B; P0 v  Subscript[\[Nu], TL]*Subscript[EE, L]/Subscript[EE, T];" ~# z. }0 t/ [3 X3 f
\[Mu] = 1 - Subscript[\[Nu], LT]*Subscript[\[Nu], TL];
! L% l: H, I. j, b3 K! ^Subscript[C, L] = Subscript[EE, L]/\[Mu];- U2 F3 I1 l% Q. b7 T
Subscript[C, S] = Subscript[\[Nu], LT]*Subscript[EE, T]/\[Mu];
1 X/ K! }/ v* F: t: t3 S; vSubscript[C, T] = Subscript[EE, T]/\[Mu];* G. y" b, `9 g. I: q! K
Subscript[C, LT] = Subscript[G, LT];8 E5 A' B+ @. K# o/ K
(*脱层几何参数*)
9 W8 s8 A$ j+ v\[Rho] = 1600;(*脱层密度*)' m0 q* D' b; j* F9 [/ ~
c = 0.06;(*阻尼*)' F" K8 Y1 a, @* K
t = 0.01;(*t每层厚度*). ?4 J1 w" z! }: R6 P! P' e
h = 0.05;(*h为梁总厚度*)/ D1 W# g/ I* F+ F
l = 1;(*为梁总的长度*)1 S$ b0 Q4 x& F& F
Subscript[l, 1] = 0.3;(*为梁1区的长度*)' J# Z& g5 [! l4 m
Subscript[l, 2] = 0.3;(*为梁2区的长度*)( ?0 B' [  n% ?  {% z7 d; ]$ C
Subscript[l, 3] = 0.4;(*为梁3区的长度*)
2 b/ L" I; G5 u9 w4 B# [Subscript[l, 4] = 0.4;(*为梁4区的长度*)' o9 _- ~4 R9 B" t6 C6 ^. [; c
nn1 = h/t;(*nn1为总铺层厚度*)
6 w9 ?) u' M% T1 Dnn2 = 2.0;(*为上子铺层层数*)
) l: M- A9 q+ b# P. N0 |' Tnn3 = h/t - nn2;(*下子铺层层数*)6 i3 R3 g* j$ D
Subscript[h, 3] = t*nn2;(*梁的上部子厚度*)
$ z+ f( `& r, QSubscript[h, 4] = h - Subscript[h, 3];(*梁的下部子厚度*)3 f$ V" [. ~& u0 |
Subscript[h, 1] = h;(*梁1区的厚度*)3 S5 k+ T/ t, O! m: u* H/ n- _7 F
Subscript[h, 2] = h;(*梁2区的厚度*)( v/ E! P4 E2 m8 Y! q) D
(*求各单层刚度*)! _( w+ `: I3 [( n0 D0 k; h" ^
agk = {0 Pi/180, 90 Pi/180, 0 Pi/180, 90 Pi/180, 0 Pi/180};(*列表各铺层角度*)2 |( i6 c* V" J+ s
! Y  e: N" |" P8 H

6 }* U+ V" s" c. O3 i  W* d, nck = Cos[agk];(*列表求各铺层角度余弦*)
5 ?+ f" P8 F/ ]! Z# tsk = Sin[agk];(*列表求各铺层角度正弦*)
9 T/ V- Q6 v* Y* H) ms11k = ck^4*Subscript[C, L] + 2 ck^2*sk^2*Subscript[C, S] +
5 L2 u9 q; d6 [4 Q4 Q2 ^             sk^4*Subscript[C, T] + 8 X' _4 ?' ^- D( @' |4 O
   4 ck^2*sk^2*Subscript[C, LT];(*求各区刚度*)
0 R1 T7 n) e3 k$ M/ P) QA11 = \!\(
  r  l7 ]6 S2 ?7 X% R+ F4 f\*UnderoverscriptBox[\(\[Sum]\), \(k = & E9 b2 }  v; ?& Z9 g0 c/ P9 `& `, ~. Z
    1\), \(nn1\)]\((s11k[\([\)\(k\)\(]\)]*t)\)\)(*一区拉伸刚度*)
6 H) y4 x: p! q5 `. A8 N2 E. s3 QA21 = A11$ m+ B8 W; B; H  q9 R; R
A31 = (\!\(9 \2 K# a& l% G. z
\*UnderoverscriptBox[\(\[Sum]\), \(k =   H. L$ e$ k; O& C+ D) `7 S( V  ~3 b; w: W
     1\), \(nn2\)]\(\((s11k[\([\)\(k\)\(]\)])\)*t\)\))(*三区拉伸刚度*)9 Y1 ^* Y' v. R6 h
A41 = (\!\(3 `$ \, y/ C* a3 [' K6 s
\*UnderoverscriptBox[\(\[Sum]\), \(k =
6 q% u6 y& a, s% w' R     nn2 + 1\), \(nn1\)]\(\((s11k[\([\)\(k\)\(]\)])\)*t\)\))(*四区拉伸刚度*)* {& ?" t% O/ X  ~7 ~$ l4 j# k0 @

& Q: p5 z& J/ s9 V+ m% |7 Y5 L4 U6 X( S# h
Print["A21=A11;D21=D11"];(*二区拉伸刚度、弯曲刚度*)
0 U3 Q: K7 Q8 ~2 Y% @D11 = \!\(/ G, u( q8 P# A0 E+ G1 Q
\*UnderoverscriptBox[\(\[Sum]\), \(k =
5 S3 h& r7 @( u# u7 J0 @/ y9 S    1\), \(nn1\)]\((s11k[\([\)\(k\)\(]\)]*
+ Q( A# {! O* T! T5 R\*FractionBox[\(t^3\), \(12\)])\)\)
# q. x; ]" {! M4 XD21 = D11* v5 e  e; ?' {4 T
D31 = \!\(
, T: z- R8 \2 B, ]# X\*UnderoverscriptBox[\(\[Sum]\), \(k = # H: s- b. f0 |
    1\), \(nn2\)]\((s11k[\([\)\(k\)\(]\)]*
2 l) R. D5 w6 B  h; F3 w# t. e\*FractionBox[\(t^3\), \(12\)])\)\)(*三区弯曲刚度*)# ]! ], _- D- D  U1 _4 F& q% @! H5 S
D41 = \!\(. v# ?+ W" h  c$ Q8 f5 \/ C
\*UnderoverscriptBox[\(\[Sum]\), \(k = ' `  t+ v* a# I2 ]# o5 D* p" X2 A
    nn2 + 1\), \(nn1\)]\((s11k[\([\)\(k\)\(]\)]*& Z/ c; ?8 I! G$ e8 o6 s" a0 ?
\*FractionBox[\(t^3\), \(12\)])\)\)(*四区弯曲刚度*)
  n. K8 I' l$ \, R5 H1 B  Pk1 = Subscript[l, 1]/l; k2 = Subscript[l, 2]/l; k3 = Subscript[l, \
: e# j4 g& E, ?9 [3 Z3]/l; k4 = Subscript[l, 4]/l; \[Alpha] = h/l;- A  i5 k9 _  f% p$ S0 s- ?! a
a1 = (\[Alpha]*k1)/(DD1*(\[Beta]1)^3); a2 = (\[Alpha]*k2)/(9 l2 f+ ~& O$ B1 Y4 Z
DD2*(\[Beta]2)^3); a3 = (\[Alpha]*k3)/(
+ O1 B! G- A" g8 [2 I DD3*(\[Beta]3)^3); a4 = (\[Alpha]*k4)/(DD4*(\[Beta]4)^3);5 S& p+ y# K4 b, N1 [- \4 k
\[Beta]1 = h/Subscript[l, 1]; \[Beta]2 = h/Subscript[l, 2]; \[Beta]3 \
, W6 S! ^! N" P2 e= h/Subscript[l, 3]; \[Beta]4 = h/Subscript[l, 4];
" |2 D$ [1 l. ?( vb1 = Subscript[l, 1]/Subscript[l, 3]; b2 = Subscript[l, \/ e' `* r% M! R  s6 E/ c% A4 N
1]/Subscript[l, 4]; b3 = Subscript[l, 2]/Subscript[l, 3]; b4 = \6 r( X* a6 o3 s% V% |# i$ O  W
Subscript[l, 2]/Subscript[l, 4];% O. y7 F5 c7 m7 d/ K
DD1 = D11/(A11*h^2); DD2 = D21/(A11*h^2); DD3 = D31/(A11*h^2);
6 I8 x2 _* f; i6 N& Q( QDD4 = D41/(A11*h^2);9 O" j/ ~5 X. U' ^& W" l. U7 \% g
r11 = Power[a1*\[Omega]^2, (4)^-1]; r12 = Power[* g* V2 x0 z1 Z
a2*\[Omega]^2, (4)^-1]; r13 = Power[
- V/ P) L7 B9 m  `* E" u& _+ Y( l a3*\[Omega]^2, (4)^-1]; r14 = Power[a4*\[Omega]^2, (4)^-1];! J3 \& }! {' a" C
BB = {{1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
& `1 X4 g( y* o3 O, w& a8 s  {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0},, w( T% M( F, Z( p' F" r$ |
  {0, Cosh[r12], 0, 0, 0, Sinh[r12], 0, 0, 0, Cos[r12], 0, 0, 0,
) `* _( Q* i2 K! ]* U& J0 \! ~* u) Q   Sin[r12], 0, 0},4 A! |7 X& G' L9 H4 D
  {0, Sinh[r12], 0, 0, 0, Cosh[r12], 0, 0, 0, -Sin[r12], 0, 0, 0,   r1 s5 b9 k- f: m5 i1 ?0 B$ s5 t  R
   Cos[r12], 0, 0},: p' K: D* E5 k
  {-(r11)^2*DD1*(\[Beta]1)^2*Cosh[r11], 4 b0 d2 Z( S) K
   0, (r13)^2*DD3*(\[Beta]3)^2, (r14)^2*DD4*(\[Beta]4)^2,
0 M. k: }0 I' R. o   -(r11)^2*DD1*(\[Beta]1)^2*Sinh[r11], 0, 0, 7 O/ s5 Z! O. z, u7 X
   0, (r11)^2*DD1*(\[Beta]1)^2*Cos[r11], % z" u* l" g2 k+ W
   0, -(r13)^2*DD3*(\[Beta]3)^2, -(r14)^2*DD4*(\[Beta]4)^2, (r11)^2*
) l( M" R! H4 e7 O0 I    DD1*(\[Beta]1)^2*Sin[r11], 0, 0, 0},1 n8 x! q) @& F- q/ e% j
  {-(r11)^3*DD1*(\[Beta]1)^3*Sinh[r11], 0, 0, 6 U4 B/ w7 O* T& X* i
   0, -(r11)^3*DD1*(\[Beta]1)^3*Cosh[r11],
/ d5 m8 P' Z! G   0, (r13)^3*DD3*(\[Beta]3)^3, (r14)^3*DD4*(\[Beta]4)^3, -(r11)^3*" b& Y" D. p5 L! T0 w3 d: }
    DD1*(\[Beta]1)^3*Sin[r11], 0, 0, 0,
4 d* L3 w; w& _9 ^3 x7 M5 g* ^( i3 W   (r11)^3*DD1*(\[Beta]1)^3*Cos[r11], + n7 V. E& G$ k0 u& D$ E. x
   0, -(r13)^3*DD3*(\[Beta]3)^3, -(r14)^3*DD4*(\[Beta]4)^3},6 I' y# p4 g1 N9 l) K/ f
  {0, -(r12)^2*DD2*(\[Beta]2)^2, (r13)^2*DD3*(\[Beta]3)^2*5 E9 d7 x' c3 e7 d% a- J. P  y" l
    Cosh[r13], (r14)^2*DD4*(\[Beta]4)^2*Cosh[r14],% G  G3 W4 t6 c9 g: E' l) ]
   0, 0, (r13)^2*DD3*(\[Beta]3)^2*Sinh[r13], (r14)^2*DD4*(\[Beta]4)^2*6 ]( M. [7 o# B' R/ _) M, L: [
    Sinh[r14], 0, (r12)^2*DD2*(\[Beta]2)^2,
  K+ _+ n2 z3 G; M3 r   -(r13)^2*DD3*(\[Beta]3)^2*Cos[r13], -(r14)^2*DD4*(\[Beta]4)^2*
3 d7 ^3 q% J; G- l0 X2 @( o+ y    Cos[r14], 0, 0,
5 X7 q4 I# u* a5 H/ X   -(r13)^2*DD3*(\[Beta]3)^2*Sin[r13], -(r14)^2*DD4*(\[Beta]4)^2*  A4 Y) @2 f; {# ^3 R1 Z  r
    Sin[r14]}," B% {! m" d! N' ]* C% _
  {0, 0, (r13)^3*DD3*(\[Beta]3)^3*Sinh[r13], (r14)^3*DD4*(\[Beta]4)^3*
/ d9 q1 y4 P/ G' F    Sinh[r14], 0, -(r12)^3*DD2*(\[Beta]2)^3,2 F" ~; |: c: K" K! z- V
   (r13)^3*DD3*(\[Beta]3)^3*Cosh[r13], (r14)^3*DD4*(\[Beta]4)^3*
  q4 J$ g' A7 y, K' K7 `6 i, \: P    Cosh[r14], 0, 0, (r13)^3*DD3*(\[Beta]3)^3*Sin[r13],6 C! e2 S1 z, t- _9 J/ j
   (r14)^3*DD4*(\[Beta]4)^3*Sin[r14],
2 Z7 J- K6 A) q& m( P6 v! [   0, (r12)^3*DD2*(\[Beta]2)^3, -(r13)^3*DD3*(\[Beta]3)^3*Cos[r13],
: C) q2 {- V& W- T7 o   -(r14)^3*DD4*(\[Beta]4)^3*Cos[r14]},
7 Z1 E6 b- g% @! w  {Cosh[r11], 0, -1, 0, Sinh[r11], 0, 0, 0, Cos[r11], 0, -1, 0,
$ I5 f( M/ {$ t: h   Sin[r11], 0, 0, 0},
% n, p0 M3 q" c+ i  {r11*Sinh[r11], 0, 0, 0, r11*Cosh[r11], 0, -r13*b1, - v* w3 @# f! ?. g+ S7 V& Q" L
   0, -r11*Sin[r11], 0, 0, 0, r11*Cos[r11],5 H; g; I. T# ]  o2 j$ ]! a
   0, -r13*b1},' \4 Q  p& S+ Z
  {Cosh[r11], 0, 0, -1, Sinh[r11], 0, 0, 0, Cos[r11], 0, 0, -1, 9 V, T- Q# L. v) z' ^  }
   Sin[r11], 0, 0, 0},
4 P3 b4 K. i3 I  {r11*Sinh[r11], 0, 0, 0, r11*Cosh[r11], 0, ' x) {4 A9 L! C2 {- Q
   0, -r14*b2, -r11*Sin[r11], 0, 0, 0, r11*Cos[r11],$ \3 H3 q9 K7 I6 u
   0, 0, -r14*b2},
/ a3 m1 B7 _6 L% f# K  {0, 1, -Cosh[r13], 0, 0, 0, -Sinh[r13], 0, 0, 1, -Cos[r13], 0, 0, 0,
) P: X, W: s8 y7 r6 \) g    0, -Sin[r13]},% {( p- A& u0 R( _1 D
  {0, 0, -r13*b3*Sinh[r13], 0, 0, r12, -r13*b3*Cosh[r13], 0, 0, 0,
; v' ~# |  m2 P% i' D! d   r13*b3*Sin[r13],3 ^* b, U3 c) C( {; i
   0, 0, r12, -r13*b3*Cos[r13], 0},$ m5 Q* ]; e8 m% G, i6 u5 J* _
  {0, 1, 0, -Cosh[r14], 0, 0, 0, -Sinh[r14], 0, 1, 0, -Cos[r14], 0, 0,
  W1 x/ k( m; c: a. W4 g    0, -Sin[r14]},* Z" f" u1 e- P0 B2 q9 r% s
  {0, 0, 0, -r14*b4*Sinh[r14], 0, r12, 0, -r14*b4*Cosh[r14], 0, 0, 0, , ]/ l6 b+ p2 _1 M$ O  e# u) K
   r14*b4*Sin[r14],
+ x' j+ g  u" ]8 C3 B) ]   0, r12, 0, -r14*b4*Cos[r14]}}
2 g' F# P+ R# j3 a- \9 E  w5 X' {aa1 = Det[BB]
. l! v- I8 y( `2 J' r1 a2 Q, f4 X9 x6 FPlot[aa1, {\[Omega], -10, 10}]
1 b$ H4 ]8 L( ^. Fss = FindRoot[aa1 == 0, {\[Omega], 2}][[1]]7 G' }% y& Q+ y# j

4 x) B3 J: ?* e4 m8 b9 _% x% u
作者: 百年孤独    时间: 2014-7-8 09:30
这是什么语言编程？
1 H- G# c. u. k# J
作者: 游龙游龙    时间: 2014-7-8 14:44
百年孤独 发表于 2014-7-8 09:30 2 u3 u9 Y* M* P5 c- S
这是什么语言编程？
1 a! W4 p2 y3 z" d( W; Y0 b( e
mathematical编的



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