泵阀技术论坛 » 转子动力学 » 转子动力学程序

zhaowu 发表于 2008-8-23 18:14

转子动力学程序

[b][size=14pt][font=Times New Roman]%[/font][/size][/b][b][font=宋体][size=14pt]求解转子系统前三个临界转速和主振型的传递矩阵法[/size][/font][/b][b][size=14pt][/size][/b]
;G*jz AZ!gIye [font=Times New Roman]clc[/font],OX8JXP+z7be5CF
[font=Times New Roman]clear[/font]L*q:hLQKX
[font=Times New Roman]%[/font][font=宋体]等截面轴参数[/font]
$a2@ ?J0NM'`0@ [font=Times New Roman]l1=0.12;[/font]
n \ ZwMYq([n [font=Times New Roman]d=0.04;[/font]
PYm#t5pLP IT
yU(je [font=Times New Roman]A=pi*d*d/4;[/font]
-e'?vXCBR [font=Times New Roman]%[/font][font=宋体]轮盘参数[/font]
.u'[a{uR{s [font=Times New Roman]D=0.5;[/font] sf
CXH&A`c,P*b
[font=Times New Roman]h=0.025;[/font]7a h gn#ccu
[font=Times New Roman]%[/font][font=宋体]盘轴材料参数（忽略轴的质量）[/font]
f(AY*z w0S8P i IS/o [font=Times New Roman]a=1;[/font]
*N/~;@tSZ([!{ m [font=Times New Roman]u=0.3;[/font]
'T%H'^3^ `R6x f [font=Times New Roman]rou=7800;[/font]&E`2`zN^l'M)C
[font=Times New Roman]E=2.0e11;[/font]U%Xq'Tb7}1J5oU1R
[font=Times New Roman]G=E/(2*(1+u));[/font](v5b/X\h)A qA?X#~
[font=Times New Roman]I=pi*(d^4)/64;[/font]
@mb+s.yOw [font=Times New Roman]K1=2.0e7;[/font]u}K-Q`!KcG7QI"q
[font=Times New Roman]v1=6*E*I/(a*G*A*l1*l1);[/font] v/U1B.GA9lO*` t
[font=Times New Roman]mi=rou*pi*D^2/4*h;%[/font][font=宋体]轮盘的集质量[/font]
c0JBP8k q:a [font=Times New Roman]Jp=mi*D^2/8;U@1_6wJ
Jd=Jp/2;[/font]
:kKL&{8Z;K*W [font=Times New Roman]Ji=Jp-Jd;[/font]
Qz ^?:y5_ [font=Times New Roman]%[/font][font=宋体]参数的数组形式[/font]OT
C#{ u
[font=Times New Roman]L=[l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 0 0];[/font]
l9s[)A|%{(~!s8eJ [font=Times New Roman]M=[0 mi mi mi mi mi mi 0 0 0 0 0 mi mi 0];[/font]s;xeb0v
kR
[font=Times New Roman]K=[K1 0 0 0 0 0 0 K1 0 0 0 K1 0 0 0];[/font]){d+P M%ma7\
[font=Times New Roman]v=[v1 v1 v1 v1 v1 v1 v1 v1 v1 v1 v1 v1 v1 0 0];[/font]O3|-_x Y7hQ,tts,E+f8_"b
[font=Times New Roman]J=[0 Ji Ji Ji Ji Ji Ji 0 0 0 0 0 Ji Ji 0];[/font]
9I)IJ&wq&u-l [font=Times New Roman]
&HM&~B?6m h k=0;[/font]
v L!O6@"RZ)}9M^ [font=Times New Roman]Tit=['[/font][font=宋体]第一阶频率的振型和弯矩图[/font][font=Times New Roman]';'[/font][font=宋体]第二阶频率的振型和弯矩图[/font][font=Times New Roman]';'[/font][font=宋体]第三阶频率的振型和弯矩图[/font][font=Times New Roman]'];[/font])s-lp's3C
[font=Times New Roman]for w=0:0.01:4000;[/font]
r6B~ Zhv#Y [font=Times New Roman]for i=1:15;[/font]
;n$f.]Tl9o [font=Times New Roman]T(:,:,i)=[1+(L(i)^3)*(1-v(i))*(M(i)*w^2-K(i))/(6*E*I) L(i)+L(i)^2*J(i)*w^2/(2*E*I) L(i)^2/(2*E*I) L(i)^3*(1-v(i))/(6*E*I);[/font]:X,OD3k1M
[font=Times New Roman]3vC'Fu@1D3r
(L(i)^2)*(M(i)*w^2-K(i))/(2*E*I) 1+L(i)*J(i)*w^2/(E*I) L(i)/(E*I) L(i)^2/(2*E*I);[/font]c|{vKJb M
[font=Times New Roman]
6`'xrq#K2| L(i)*(M(i)*w^2-K(i)) J(i)*w^2 1 L(i);[/font]/[6zdi$p `{
[font=Times New Roman]
?}Kl7D|*r6c4p[et M(i)*w^2-K(i) 0 0 1];[/font]5iU_d#G P'Y)D
[font=Times New Roman]end[/font]
z1a1yb-FK"r!t t^ [font=Times New Roman]H=T(:,:,1);[/font]
p0[(H9wi-U0l [font=Times New Roman]for i2=2:15;[/font],p'vdA,QTe
[font=Times New Roman]
Z+k]8M_w DV H=T(:,:,i2)*H;[/font]
3Q7P4JlM_5ht [font=Times New Roman]end[/font]
(^?l3\ @V R [font=Times New Roman]NlX-R7D0B
F=H(3,1)*H(4,2)-H(3,2)*H(4,1);[/font]
.u8M,ghmts`\/VA8q [font=Times New Roman]
&OI4G f9m$X
|,DP if F*(-1)^k < 0 %[/font][font=宋体]求解临界转速[/font]Hg8owa
[font=Times New Roman]]:s5s`0I*qAq
k=k+1;[/font]&|1cZ&b%S'VD2?
[font=Times New Roman]
6D7Z&L3ZOX2M3e!i0W wi(k)=w;[/font]
h+[yyRgDI y [font=Times New Roman]
7b d%HBR(@ w=wi(k)[/font]
({,N@W$L W^i"|/R [font=Times New Roman]
3Q-C z0G6E
|2k:Hb4re2t ni(k)=wi(k)*30/pi;[/font]
][8t3X8z [font=Times New Roman]end[/font]
:x:u1B/Gd [font=Times New Roman]end[/font]w(XsN/km|
[font=Times New Roman]for i1=1:3;[/font]
r5D#e?b D [font=Times New Roman]
U:m&?4|S2Q w=wi(i1);[/font]
U#W*hZi3S$b [font=Times New Roman]
"_S@wag@ for j=1:14;[/font]8s[J8LBh:P1EB
[font=Times New Roman]T(:,:,j)=[1+(L(j)^3)*(1-v(j))*(M(j)*w^2-K(j))/(6*E*I) L(j)+L(j)^2*J(j)*w^2/(2*E*I) L(j)^2/(2*E*I) L(j)^3*(1-v(j))/(6*E*I);[/font]a"L%I8|%z3f0l
[font=Times New Roman]
B-s3Ta%|IK@6Q:}$` (L(j)^2)*(M(j)*w^2-K(j))/(2*E*I) 1+L(j)*J(j)*w^2/(E*I) L(j)/(E*I) L(j)^2/(2*E*I);[/font]Y9VV
zf4b:@
[font=Times New Roman]!I zKT)XbQA-j
L(j)*(M(j)*w^2-K(j)) J(j)*w^2 1 L(j);[/font]Y$e6B.d+D4T
[font=Times New Roman]C8k"r}M4Kzn,J hg
M(j)*w^2-K(j) 0 0 1];[/font]
HG\a-b
hMm [font=Times New Roman]end[/font]
E3qt.OH#_&jF'o|E [font=Times New Roman]H=T(:,:,1);[/font]

f0H)Q u\
Om8k1^G [font=Times New Roman]for j=2:15;[/font]-f8p%?q _ GO
[font=Times New Roman]T-])bk~c6M7{&E"{ H
H=T(:,:,j)*H;[/font]2M5T O#P|yp)M7k
[font=Times New Roman]
u9J(_$ozA} end[/font]Cjp z'?)Z+z+w"V)t-K
[font=Times New Roman]
3~PPi8};eiV(| b=-H(4,1)/H(4,2);[/font]3a&c+E(@x"U*hW
[font=Times New Roman]*s~u3`9?TcEr
X(:,1)=([1 b 0 0]');[/font]
WB-GEZV-C@ [font=Times New Roman]
a/^f ya9Q for n=2:16;[/font]:fD9s%IS
[font=Times New Roman]
Z(GZ!~oV2L X(:,n)=T(:,:,n-1)*X(:,n-1);
'd3U4e3V,HG %[/font][font=宋体]相邻两质点右边的传递关系[/font]W*V
i1|
f/v
[font=Times New Roman]
9Z&l;r&C@!Pk end [/font]
,|6her3g$^+T [font=Times New Roman]6g/KK:r)_+p1|K
for j1=1:15;[/font]
z2c-iS7X
G1m [font=Times New Roman]
"Ez-v-j!Ck xd y(j1)=X(1,j1);[/font]
Vdl3L5X-vLQa [font=Times New Roman]]*r o!fkY
z(j1)=X(3,j1);[/font]
+a pAtV [font=Times New Roman]
Bc#`,b\(c)t&xc,xE x(j1)=(j1-1)*l1;[/font]:RH5sW ejI
[font=Times New Roman]
N+F!pW"R1JR,r!@-{"VM end[/font]6WSU8cD|@4m ]
[font=Times New Roman]w7s(vRyS4g] ?,AmC
y(16)=X(1,16);[/font]+xoX{"G uEHX
[font=Times New Roman]x(16)=1.56;[/font]o6u;m(}leSkh)J"c
[font=Times New Roman]z(16)=X(3,16);[/font]
\p5qS9@d,y [font=Times New Roman]7H4fZ\VZ2l-]l
y=y/max(abs(y));%[/font][font=宋体]归一化[/font]
D;Xs!{6Bk#e [font=Times New Roman]z=z/max(abs(z));[/font]
7Va4l+H
|2] [font=Times New Roman]subplot(3,1,i1)[/font]
#?/Azj~,M [font=Times New Roman]plot(x,y,'b-',x,z,'r:')[/font]
bj6W%Wv [font=Times New Roman]title(Tit(i1,:))
4qGl(I,F(a [/font]0AUS I9[3Y$H9{0r
[font=Times New Roman]xlabel('[/font][font=宋体]轴长[/font][font=Times New Roman]'),ylabel('[/font][font=宋体]不平衡值[/font][font=Times New Roman]')[/font]
C-qesmq [font=Times New Roman]axis([0,1.56,-1.2,1.2])[/font]%Z6n+f9~(^ {r
[font=Times New Roman]grid on[/font]r?0~am!g2ri;UP
[font=Times New Roman]z;[/font]
'I"aD/V
D3SRB [font=Times New Roman]end[/font]9wcxi|*[
[font=Times New Roman]legend('[/font][font=宋体]振型[/font][font=Times New Roman]','[/font][font=宋体]弯矩[/font][font=Times New Roman]')[/font]
l#_"F_Qw&j+C [font=Times New Roman]
+G/sn!dOG*l:dJ` ni[/font]
7]!J?x1s,a [font=Times New Roman]wi[/font]
s3hK"S"k%P$o [font=Times New Roman][/font]4[5xkws/@
[font=Times New Roman]ni =]T8VP3w$T
1.0e+004 *[/font]+iN7ef-jJd6G
[font=Times New Roman]"R1xv([!{;mLu
0.1468
^ @2EB*z.R 0.2065D!Ab$Q#AC*c]
0.5254
B~)B9n7@;B0l
1.3837
c~%hCH 2.3759(jU5Q_+[\w
2.3832^5i-m yd8]
3.1036
,N.o@7K)fV?9y 3.5473[/font]B7C
cw9QizU-}/@K
[font=Times New Roman]wi =A)x f;k+ZV`n
1.0e+003 *[/font]
r]*E'I.hk7Pd+q:U [font=Times New Roman]0.1537
9@L T*t[WxS1Uz 0.2162lL8GRt#s,D
0.5502,v8X;f3_Z4q%]
Z,d Th
1.4490
+b s1E F7~_bB 2.4881
J/q!Q&gk&q] 2.4956(B'o)fvt.KBo

]C4?[+G6ty 3.2501
q
u7kJj6X ? 3.7147[/font]
:C!F2HM+s'sH x [font=Times New Roman] [/font] m/Y*B;?qN}0nT
[b][size=14pt][font=Times New Roman]%[/font][/size][/b][b][font=宋体][size=14pt]转子系统的不平衡响应[/size][/font][/b][b][size=14pt][/size][/b]
r4WJ3A|-V:L [font=Times New Roman]clc[/font]
2ZUM:K@Mcl@9t*e [font=Times New Roman]clear[/font]
Q8oZCqH*X [font=Times New Roman]ww=[153.68 216.23 550.22 1449 2488.1 2495.6 3250.1 3714.7]
4MN1hyc*op %[/font][font=宋体]前[/font][font=Times New Roman]8[/font][font=宋体]阶固有频率[/font]
`,^'z!xcN,z0n7sP#S [font=Times New Roman]n=ww*30/pi
9M'J/K5pP2y%s"g8[&^ %[/font][font=宋体]前[/font][font=Times New Roman]8[/font][font=宋体]阶转频[/font]
T9q5vR)E1}KG*oD [font=Times New Roman]wi=[0.9*ww(1) (ww(1)+ww(2))/2](hy bL
y
%0.9w(1)[/font][font=宋体]和（[/font][font=Times New Roman]w(1)+w(2))/2[/font][font=宋体]）[/font]Vw{6b
t*}o
[font=Times New Roman]%[/font][font=宋体]等截面轴参数[/font]
#` B!MX*DY(e,u [font=Times New Roman]l1=0.12;[/font];e9tR _y_
[font=Times New Roman]d=0.04;[/font]'eIh8\S.n;]*^,N,W3\;}
[font=Times New Roman]A=pi*d*d/4;[/font]
B'~d B%y%q)_%X [font=Times New Roman]%[/font][font=宋体]轮盘参数[/font]
sC:|?,sY [font=Times New Roman]D=0.5;[/font]
-G5lJ2SM {'d+EJ [font=Times New Roman]h=0.025;[/font]
Q(cf5E:O5q_iGt$t
[font=Times New Roman]%[/font][font=宋体]盘轴材料参数（忽略轴的质量）[/font]
d#mf!^t(T [font=Times New Roman]rou=7800;[/font]
E},k{&R e? [font=Times New Roman]E=2.0e11;[/font]F`4PE Rv&sxV
[font=Times New Roman]I=pi*(d^4)/64;[/font]#wPb
a+y'I7~(wF*bl/C/B
[font=Times New Roman]K1=2.0e7;[/font]
J ^S6Em-H1lo [font=Times New Roman]m=rou*pi*D^2/4*h;%[/font][font=宋体]轮盘的集质量[/font]

[ Xqc6{0A [font=Times New Roman]Jp=m*D^2/8;5W8`#RJ MJ7C#S+@
Jd=Jp/2;[/font]}LXXggd
[font=Times New Roman]J1=Jp-Jd;[/font]N/{ XCOg;@w
[font=Times New Roman]u1=0.8e-4;[/font]
~+];}&bA7|)ov [font=Times New Roman]%[/font][font=宋体]参数的数组形式[/font]
3W0R+?Q:pc [font=Times New Roman]L=[l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1 l1];[/font]ni
dp"J:I9m,x
[font=Times New Roman]M=[0 m m m m m m 0 0 0 0 0 m m];[/font]
L|'^y
R v [font=Times New Roman]K=[K1 0 0 0 0 0 0 K1 0 0 0 K1 0 0];[/font]
$^;k!Q
_.dn4m(i [font=Times New Roman]J=[0 J1 J1 J1 J1 J1 J1 0 0 0 0 0 J1 J1];[/font]Tx [S$SmN"El
[font=Times New Roman]Tit=['wi(1)[/font][font=宋体]时的振动响应图[/font][font=Times New Roman]';'wi(2)[/font][font=宋体]时的振动响应图[/font][font=Times New Roman]'];[/font]
H%PE)t;V8Sn [font=Times New Roman]U=[0 0 0 0 0 0 0 0 0 0 0 0 0 u1];[/font]9i%ORtp*Bsr-@o#t
[font=Times New Roman]
qw kb-a:@ for i=1:2[/font]1d;|U%G!q{
[font=Times New Roman]
M$i:N%`7@v%A({ w=wi(i);[/font]ZT4Qp2yiuz
[font=Times New Roman]
%L1[gM!S/D7n EFr n(i)=w*30/pi[/font]bJwkM)K9IHq
[font=Times New Roman]
b8d|p1] for j=1:14;[/font]
g(g%nJXII E [size=10.5pt][font=Times New Roman]T(:,:,j)=[1+(L(j)^3)*(M(j)*w^2-K(j))/(6*E*I) L(j)+L(j)^2*J(j)*w^2/(2*E*I) L(j)^2/(2*E*I) L(j)^3/(6*E*I)
/Un/ElY C L(j)^3/(6*E*I)*U(j)*w^2; bV#bTVd
(L(j)^2)*(M(j)*w^2-K(j))/(2*E*I)
#u/p9N+lpUG*T$q$Kx 1+L(j)*J(j)*w^2/(E*I)v+@"a\)p*Ll
L(j)/(E*I)
M|K{8TWWZ6d L(j)^2/(2*E*I))h:h/j7e I(j
L(j)^2/(2*E*I)*U(j)*w^2;
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J(j)*w^2
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L(j);[ Vt/\|3i
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1\d Vd ["K?6~ 0
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0Z3x4P y/J
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0
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6xfB(jyhCV 1];[/font][/size]
W4P~I.M` H3k*x [font=Times New Roman]
HcXv| end[/font]!r%x.~e%W4H
[font=Times New Roman]G=T(:,:,1);[/font]
j
si f;W|RR [font=Times New Roman]for j1=2:14;[/font]|Cu8aU:p g
[font=Times New Roman]
'q Uog9P:r H=T(:,:,j1)*G;[/font]S M.h9D`%K-o
[font=Times New Roman]*x2dh.Ebi'vTz
G=H;[/font]
a.e,BPl [font=Times New Roman]end[/font]On,O"KXm3['b
[font=Times New Roman]D1=H([3 4],[1 2]);[/font]!xU4Vd#H
[font=Times New Roman]B=H([3 4],[5 2]);B(:,1)=-B(:,1);[/font]
5v?(M"sK)[7d [font=Times New Roman]C=H([3 4],[1 5]);C(:,2)=-C(:,2);[/font]
O&g sOWebTw*Y tB [font=Times New Roman]b=det(B)/det(D1); c=det(C)/det(D1);[/font]
Q2Qp\9D~ [font=Times New Roman]

d2E7`4? zMC9cH)h X(:,1)=([b c 0 0 1]');[/font]A5_e2]#nE*m$cU
[font=Times New Roman]
X~;iLdHm for n=2:14;[/font]z C)vJIW
[font=Times New Roman]
&p0e p Vk1?MCc X(:,n)=T(:,:,n-1)*X(:,n-1);
~(U-[*p?wY;O\
Z %[/font][font=宋体]相邻两质点右边的传递关系[/font]
'pjK?-]Tnq [font=Times New Roman]1Lt)yf#dc6?&Y Cp$n#r
end [/font]^E!d;IuVH3p7X'|
[font=Times New Roman]
m y ];z ?DN3F(c y(1)=X(1,1);[/font]q%pEG9RyU~.P
[font=Times New Roman]/l2[X@[ q(Wk7l|"y
x(1)=0;[/font]d\w6T,WQ
Q;KU
[font=Times New Roman]
3[zfS6rE\ for j2=2:13;[/font])j)WG0v(w{H5P/X
[font=Times New Roman]
l#X4~'Z/J^IeE y(j2)=X(1,j2);[/font]0ntOY6H.m
[font=Times New Roman]$w2L U1@J1b#y
x(j2)=x(j2-1)+L(j2-1);[/font]
us*}+s,t [font=Times New Roman]
7DC0v7S2trm9qM end[/font]:u/NUe Hs
[font=Times New Roman]
n
p7s2c(lL [ y(14)=X(1,14);[/font]
Vl&LV|wapD [font=Times New Roman]x(14)=1.56;[/font]
&H.g!RB+a7U0\#f5ju)h [font=Times New Roman]
%Tz V|J9[0M xi=0:0.05:1.56;[/font] Q/A*o
Agy#Y7UEz
[font=Times New Roman])C1]+bT#k&I'n
yi=interp1(x,y,xi,'spline');
1i{1U$A7Z0H [/font]
K6z mw}9S(H [font=Times New Roman]
#_8M\Bh yO subplot(2,1,i)[/font]
AJvIp_;r,? [font=Times New Roman]
NoQO$k!@1` plot(xi,yi, 'b-o','LineWidth',1.5)[/font]
o7h0l;^q-?3s4x [font=Times New Roman]title(Tit(i,:))dMCCol+?
[/font]
sA9c$t3u9aR+V [font=Times New Roman]
](`~?uC xlabel('[/font][font=宋体]轴长[/font][font=Times New Roman]'),ylabel('[/font][font=宋体]不平衡值[/font][font=Times New Roman]')[/font]:L%qX^rS^N)K
[font=Times New Roman]dQxT$f
grid on[/font]E:Q*HIO6gk
[size=10.5pt]
8V+u4k2lph!r end[/size]

majingxian 发表于 2008-8-24 12:40

matlab 编写的吗？你这个没有通用性阿

lmgbt 发表于 2008-9-11 11:31

太简单了，简单结构还可以，稍微复杂一点就不行了。

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