復合材料力學上機編程作業(yè)(計算層合板剛度)

1、復合材料力學上機編程作業(yè)學院：School of Civil Engineering 專業(yè)：Engineering Mechanics小組成員信息：James Wilson（2012031890015）、Tau Young（2012031890011） 復合材料力學學了五個星期，這是這門課的第一次編程作業(yè)。我和楊濤結(jié)成一個小組，我用的是Fortran編制的程序，Tau Young用的是matlab編制。其中的算例以我的Fortran計算結(jié)果為準。Matlab作為可視化界面有其獨到之處，在附錄2中將會有所展示。 作業(yè)的內(nèi)容是層合板的剛度的計算和驗算，包括拉伸剛度A、彎曲剛度D以及耦合剛度B。首先

2、要給定層合板的各個參數(shù)，具體有：層合板的層數(shù)N；各單層的彈性常數(shù)E1、E2、G12；各單層對應的厚度；各單層對應的主方向夾角。然后就要計算每個單層板的二維剛度矩陣Q，具體公式如下：；得到Q矩陣后，根據(jù)課本上講到的得到。 然后根據(jù)z坐標的定義求出到，接下來，最重要的一步，根據(jù)下式計算A、B、D。一、書上P110的幾個問題可以歸納為以下幾個類型。（1）正交鋪設5層對稱層合板（T5-7）數(shù)據(jù)文檔層數(shù)5 層序數(shù)厚度mE1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1 1.00E-039.60E+102.40E+100.10 0.40 1.00E+100.00 2 1.00E-03

3、9.60E+102.40E+100.10 0.40 1.00E+1090.00 3 1.00E-039.60E+102.40E+100.10 0.40 1.00E+100.00 4 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1090.00 5 1.00E-039.60E+102.40E+100.10 0.40 1.00E+100.00 結(jié)果文檔 拉伸剛度A= 3.5000E+08 5.0000E+07 -4.3711E-01 5.0000E+07 2.7500E+08 -6.1196E+00 -4.3711E-01 -6.1196E+00 5.0000E+

4、07 耦合剛度B= -9.0523E-12 -7.2831E-13 -3.8514E-21 -7.2831E-13 -2.2631E-12 -7.0304E-20 -3.8514E-21 -9.1480E-20 -9.0417E-13 彎曲剛度D= 8.7917E+02 1.0417E+02 -4.7354E-07 1.0417E+02 4.2292E+02 -6.6296E-06 -4.7354E-07 -6.6296E-06 1.0417E+02由此可以從課本上了解到的：A16=A26=0；D16=D26=0；相吻合。這里B顯然是等于零的。（2） 正交鋪設6層反對稱層合板（T5-8）數(shù)據(jù)文

5、檔層數(shù)6 層序數(shù)厚度mE1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1 1.00E-039.60E+102.40E+100.10 0.40 1.00E+100.00 2 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1090.00 3 1.00E-039.60E+102.40E+100.10 0.40 1.00E+100.00 4 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1090.00 5 1.00E-039.60E+102.40E+100.10 0.40 1.00E+100.00 6 1.00E

6、-039.60E+102.40E+100.10 0.40 1.00E+1090.00 結(jié)果文檔 拉伸剛度A= 3.7500E+08 6.0000E+07 -6.5567E-01 6.0000E+07 3.7500E+08 -9.1794E+00 -6.5567E-01 -9.1794E+00 6.0000E+07 耦合剛度B= -1.1250E+05 1.8943E-10 -3.2784E-04 1.8943E-10 1.1250E+05 -4.5897E-03 -3.2784E-04 -4.5897E-03 1.8102E-10 彎曲剛度D= 1.1250E+03 1.8000E+02 -1

7、.9670E-06 1.8000E+02 1.1250E+03 -2.7538E-05 -1.9670E-06 -2.7538E-05 1.8000E+02由此可以和課本上了解到的：A11=A22；D11=D22；A16=A26=D16=D26=0；相吻合。（3）5層對稱角鋪設層合板（T5-9）數(shù)據(jù)文檔層數(shù)5 層序數(shù)厚度mE1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1030.00 2 1.00E-039.60E+102.40E+100.10 0.40 1.00E+10-30.00 3

8、1.00E-039.60E+102.40E+100.10 0.40 1.00E+1030.00 4 1.00E-039.60E+102.40E+100.10 0.40 1.00E+10-30.00 5 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1030.00 結(jié)果文檔 拉伸剛度A= 3.4531E+08 1.1094E+08 2.3274E+07 1.1094E+08 1.5781E+08 9.2015E+06 2.3274E+07 9.2015E+06 1.1094E+08 耦合剛度B= -1.2975E-11 -1.4779E-12 1.4282E-1

9、2 -8.4022E-12 1.3998E-12 -6.5192E-13 1.4282E-12 -8.2956E-13 -8.4022E-12 彎曲剛度D= 7.1940E+02 2.3112E+02 1.4159E+02 2.3112E+02 3.2878E+02 5.5976E+01 1.4159E+02 5.5976E+01 2.3112E+02由此可以和課本上了解到的：A16、A26相對要小；D16、D26相對要?。幌辔呛?。這里B顯然是等于零的。（4）6層反對稱角鋪設層合板（T5-10）數(shù)據(jù)文檔層數(shù)6 層序數(shù)厚度mE1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1

10、 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1030.00 2 1.00E-039.60E+102.40E+100.10 0.40 1.00E+10-30.00 3 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1030.00 4 1.00E-039.60E+102.40E+100.10 0.40 1.00E+10-30.00 5 1.00E-039.60E+102.40E+100.10 0.40 1.00E+1030.00 6 1.00E-039.60E+102.40E+100.10 0.40 1.00E+10-30.0

11、0 結(jié)果文檔 拉伸剛度A= 4.1437E+08 1.3313E+08 -1.3479E-09 1.3313E+08 1.8938E+08 3.0013E-10 -1.3479E-09 3.4470E-10 1.3313E+08 耦合剛度B= 1.2989E-11 -9.3543E-12 -6.9823E+04 7.4607E-12 -2.7711E-12 -2.7605E+04 -6.9823E+04 -2.7605E+04 7.4607E-12 彎曲剛度D= 1.2431E+03 3.9938E+02 2.9643E-14 3.9938E+02 5.6813E+02 9.5583E-15

12、2.9643E-14 7.4281E-15 3.9938E+02由此可以和課本上了解到的：A16=A26=D16=D26=0;B11=B22=B12=B21=B66=0；相吻合。（5）我還想驗證一個書上的例題，在課本P114。三層層合板，外層厚度t1，內(nèi)層10t1，正交鋪設比m=0.2,。玻璃/環(huán)氧單層板性能：E1=5.4E10Pa，E2=1.8E10Pa，v21=0.25，G12=8.8E9Pa。數(shù)據(jù)文檔層數(shù)3 層序數(shù)厚度mE1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1 1.00E+005.40E+101.80E+100.083 0.250 8.80E+090.00

13、 2 1.00E+015.40E+101.80E+100.083 0.250 8.80E+0990.00 3 1.00E+005.40E+101.80E+100.083 0.250 8.80E+090.00 結(jié)果文檔 The NORMALISED extension stiffness A* equals: 2.4509E+10 4.5954E+09 -1.3893E+02 4.5954E+09 4.9017E+10 -1.2002E+03 -1.3893E+02 -1.2002E+03 8.8000E+09 The NORMALISED coupling tensor C equals: -

14、9.3609E+09 1.4411E-05 -4.2450E+01 1.4411E-05 9.3609E+09 -3.6673E+02 -4.2450E+01 -3.6673E+02 1.6107E-05 The NORMALISED bending stiffness D* equals: 3.3869E+10 4.5954E+09 -9.6477E+01 4.5954E+09 3.9656E+10 -8.3347E+02 -9.6477E+01 -8.3347E+02 8.8000E+09由于課本上只是分析Nx的荷載，給出了A*的數(shù)值和課本上計算的結(jié)果一致。二、驗證Verchery的論文里

15、給出的數(shù)值算例。這里一直到Table5的數(shù)據(jù)都是從Verchery的論文中截獲。Verchery論文中的18層序列，第（21）式【laminates without bending-extension coupling】的排列有兩種材料，一種是Boron-Epoxy，一種是Glass-Epoxy。而且都給出了最終的計算結(jié)果Q，A*，D*。下面是我的Fortran計算數(shù)據(jù)文檔和結(jié)果文檔。（1）Boron-Epoxy材料。（Boron-Epoxy）數(shù)據(jù)文檔層數(shù)18 層序數(shù) 厚度m E1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1 1.00E-032.04E+111.85E+

16、100.021 0.230 5.59E+090.00 2 1.00E-032.04E+111.85E+100.021 0.230 5.59E+090.00 3 1.00E-032.04E+111.85E+100.021 0.230 5.59E+0960.00 4 1.00E-032.04E+111.85E+100.021 0.230 5.59E+0960.00 5 1.00E-032.04E+111.85E+100.021 0.230 5.59E+09-60.00 6 1.00E-032.04E+111.85E+100.021 0.230 5.59E+09-60.00 7 1.00E-032.

17、04E+111.85E+100.021 0.230 5.59E+09-60.00 8 1.00E-032.04E+111.85E+100.021 0.230 5.59E+0960.00 9 1.00E-032.04E+111.85E+100.021 0.230 5.59E+090.00 10 1.00E-032.04E+111.85E+100.021 0.230 5.59E+09-60.00 11 1.00E-032.04E+111.85E+100.021 0.230 5.59E+09-60.00 12 1.00E-032.04E+111.85E+100.021 0.230 5.59E+096

18、0.00 13 1.00E-032.04E+111.85E+100.021 0.230 5.59E+0960.00 14 1.00E-032.04E+111.85E+100.021 0.230 5.59E+090.00 15 1.00E-032.04E+111.85E+100.021 0.230 5.59E+090.00 16 1.00E-032.04E+111.85E+100.021 0.230 5.59E+090.00 17 1.00E-032.04E+111.85E+100.021 0.230 5.59E+0960.00 18 1.00E-032.04E+111.85E+100.021

19、0.230 5.59E+09-60.00 （Boron-Epoxy）結(jié)果文檔The stiffness of number 1 ply is: 2.0499E+11 4.2757E+09 0.0000E+00 4.2757E+09 1.8590E+10 0.0000E+00 0.0000E+00 0.0000E+00 5.5900E+09 The coupling stiffness B equals: -5.6581E-10 2.1876E-10 -1.4447E-10 2.1876E-10 6.5563E-10 -5.0525E-10 -1.4447E-10 -4.5370E-10 2.5

20、395E-10 The NORMALISED extension stiffness A* equals: 8.7706E+10 2.8359E+10 -6.5585E-07 2.8359E+10 8.7706E+10 -2.9973E-06 -6.5585E-07 -3.0072E-06 2.9674E+10 The NORMALISED coupling tensor C equals: -2.1719E+10 4.4599E+09 -1.4444E+09 4.4599E+09 1.2799E+10 -4.5344E+09 -1.4444E+09 -4.5344E+09 4.4599E+0

21、9 The NORMALISED bending stiffness D* equals: 1.0943E+11 2.3899E+10 1.4444E+09 2.3899E+10 7.4907E+10 4.5344E+09 1.4444E+09 4.5344E+09 2.5214E+10這里的結(jié)果顯然是B=0，而且得到的Q，A*，D*與論文上的數(shù)據(jù)一致，（2） Glass-Epoxy材料。（Glass-Epoxy）數(shù)據(jù)文檔層數(shù)18 層序數(shù) 厚度m E1（Pa）E2（Pa）v12v21G12（Pa）角度（°）1 1.00E-033.86E+108.27E+090.056 0.260 4

22、.14E+090.00 2 1.00E-033.86E+108.27E+090.056 0.260 4.14E+090.00 3 1.00E-033.86E+108.27E+090.056 0.260 4.14E+0960.00 4 1.00E-033.86E+108.27E+090.056 0.260 4.14E+0960.00 5 1.00E-033.86E+108.27E+090.056 0.260 4.14E+09-60.00 6 1.00E-033.86E+108.27E+090.056 0.260 4.14E+09-60.00 7 1.00E-033.86E+108.27E+090

23、.056 0.260 4.14E+09-60.00 8 1.00E-033.86E+108.27E+090.056 0.260 4.14E+0960.00 9 1.00E-033.86E+108.27E+090.056 0.260 4.14E+090.00 10 1.00E-033.86E+108.27E+090.056 0.260 4.14E+09-60.00 11 1.00E-033.86E+108.27E+090.056 0.260 4.14E+09-60.00 12 1.00E-033.86E+108.27E+090.056 0.260 4.14E+0960.00 13 1.00E-0

24、33.86E+108.27E+090.056 0.260 4.14E+0960.00 14 1.00E-033.86E+108.27E+090.056 0.260 4.14E+090.00 15 1.00E-033.86E+108.27E+090.056 0.260 4.14E+090.00 16 1.00E-033.86E+108.27E+090.056 0.260 4.14E+090.00 17 1.00E-033.86E+108.27E+090.056 0.260 4.14E+0960.00 18 1.00E-033.86E+108.27E+090.056 0.260 4.14E+09-

25、60.00 （Glass-Epoxy）結(jié)果文檔The stiffness of number 1 ply is: 3.9170E+10 2.1820E+09 0.0000E+00 2.1820E+09 8.3922E+09 0.0000E+00 0.0000E+00 0.0000E+00 4.1400E+09 The coupling stiffness B equals: -3.2222E-10 8.5606E-11 -3.2021E-11 8.5606E-11 2.1697E-10 -8.1172E-11 -3.4829E-11 -8.1172E-11 -2.0606E-13 The Th

26、e NORMALISED extension stiffness A* equals: 2.0451E+10 5.5118E+09 -1.4616E-07 5.5118E+09 2.0451E+10 -4.3469E-07 -1.4491E-07 -4.3469E-07 7.4698E+09 The NORMALISED coupling tensor C equals: -3.4665E+09 6.1663E+08 -2.8000E+08 6.1663E+08 2.2332E+09 -7.0721E+08 -2.8000E+08 -7.0721E+08 6.1663E+08 The NORM

27、ALISED bending stiffness D* equals: 2.3918E+10 4.8952E+09 2.8000E+08 4.8952E+09 1.8218E+10 7.0721E+08 2.8000E+08 7.0721E+08 6.8532E+09這里的結(jié)果顯然是B=0，而且得到的Q，A*，D*仍然與論文上的數(shù)據(jù)一致。（3）當然我也驗證了第（22）【laminates with equal elastic properties in bending and extension】、（23）【quasi-homogeneous laminates】的排序，材料是Boron-Ep

28、oxy，下面給出計算的結(jié)果。從下面的兩個結(jié)果表中可以知道，（22）排序的確是C=0，（23）的排序的確是B=0且C=0。驗證成功。第 14 頁 共 14 頁（A）第（22）排序。（Boron-Epoxy）結(jié)果文檔 The ACTUAL stiffness tensor of the laminate: The extension stiffness A equals: 1.5787E+09 5.1047E+08 -1.9256E-08 5.1047E+08 1.5787E+09 -3.9050E-08 -1.9256E-08 -5.4129E-08 5.3412E+08 The couplin

29、g stiffness B equals: -4.0463E+06 8.3088E+05 4.8750E+05 8.3088E+05 2.3845E+06 1.5303E+06 4.8750E+05 1.5303E+06 8.3088E+05 The bending stiffness D equals: 4.2625E+04 1.3783E+04 -7.3708E-13 1.3783E+04 4.2625E+04 -4.1602E-12 -7.3708E-13 -3.8027E-12 1.4421E+04 The NORMALISED stiffness tensor of the lami

30、nate: The NORMALISED extension stiffness A* equals: 8.7706E+10 2.8359E+10 -1.0698E-06 2.8359E+10 8.7706E+10 -2.1694E-06 -1.0698E-06 -3.0072E-06 2.9674E+10 The NORMALISED coupling tensor C equals: 1.4275E-05 5.7798E-06 4.4685E-07 5.7798E-06 8.9034E-06 6.3907E-06 4.4685E-07 4.8174E-06 2.6114E-06 The N

31、ORMALISED bending stiffness D* equals: 8.7706E+10 2.8359E+10 -1.5166E-06 2.8359E+10 8.7706E+10 -8.5601E-06 -1.5166E-06 -7.8246E-06 2.9674E+10（B）第（23）排序。（Boron-Epoxy）結(jié)果文檔 The ACTUAL stiffness tensor of the laminate: The extension stiffness A equals: 1.5787E+09 5.1047E+08 -2.2981E-08 5.1047E+08 1.5787

32、E+09 -5.3951E-08 -2.2981E-08 -5.4129E-08 5.3412E+08 The coupling stiffness B equals: -1.0897E-09 2.1876E-10 -1.7357E-10 2.1876E-10 4.2280E-10 -4.4705E-10 -1.7357E-10 -4.5370E-10 3.7036E-10 The bending stiffness D equals: 4.2625E+04 1.3783E+04 -7.3708E-13 1.3783E+04 4.2625E+04 -2.3412E-12 -7.3708E-13

33、 -2.8932E-12 1.4421E+04 The NORMALISED stiffness tensor of the laminate: The NORMALISED extension stiffness A* equals: 8.7706E+10 2.8359E+10 -1.2767E-06 2.8359E+10 8.7706E+10 -2.9973E-06 -1.2767E-06 -3.0072E-06 2.9674E+10 The NORMALISED coupling tensor C equals: -6.9290E-07 5.3458E-06 2.3989E-07 5.3

34、458E-06 1.0632E-05 1.8201E-06 2.3989E-07 2.9460E-06 1.0096E-05 The NORMALISED bending stiffness D* equals: 8.7706E+10 2.8359E+10 -1.5166E-06 2.8359E+10 8.7706E+10 -4.8174E-06 -1.5166E-06 -5.9532E-06 2.9674E+10附件1：計算所用的程序代碼。PROGRAM COMPOSITE!Coded by James WilsonIMPLICIT NONEREAL(8):A(3,3),B(3,3),D(3

35、,3),MC(5),TEMP,ROT(3,3)!A拉伸剛度；B耦合剛度；D彎曲剛度；!MC讀入材料常數(shù)；ROT旋轉(zhuǎn)矩陣REAL(8):TOTAL_TH,HALF_TH !總厚度；半厚度REAL(8),ALLOCATABLE:Q(:,:,:),AL(:),T(:),Z(:),Z1(:),Z2(:),Z3(:)!Q每層板相應剛度；AL轉(zhuǎn)角；T每層板的厚度；Z坐標量INTEGER(4):N,I,J,K,SEQ,L!_IJK循環(huán)變量；N板的層數(shù)；SEQ序數(shù)CHARACTER(50):CHR(8),TEMPC,filename1,filename2!CHR、TEMPC:character variabl

36、esWRITE(*,*)"Please insert the INP file name(a.txt for example):"READ(*,*)filename1OPEN(8,file=filename1)!Open data file!Read in dataREAD(8,*)TEMPC,NALLOCATE(Q(3,3,N),AL(N),T(N),Z(N+1),Z1(N),Z2(N),Z3(N)READ(8,*)CHR(1:8)DO I=1,NREAD(8,*)SEQ,T(I),MC(1:5),AL(I)Q(:,:,I)=0!Calculate stiffness o

37、f each layer for the principal axisTEMP=1./(1-MC(3)*MC(4)Q(1,1,I)=MC(1)*TEMPQ(2,2,I)=MC(2)*TEMPQ(3,3,I)=MC(5)Q(1,2,I)=MC(4)*MC(2)*TEMPQ(2,1,I)=Q(1,2,I)AL(I)=AL(I)*3.1415926535898/180ROT(1,1)=(cos(AL(I)*2!Work out Rot MatrixROT(2,2)=ROT(1,1)ROT(3,3)=cos(2*AL(I)ROT(2,1)=1-ROT(1,1)ROT(1,2)=ROT(2,1)ROT(

38、3,1)=0.5*sin(2*AL(I)ROT(3,2)=-ROT(3,1)ROT(1,3)=-2*ROT(3,1)ROT(2,3)=-2*ROT(3,2)Q(:,:,I)=MATMUL(MATMUL(ROT,Q(:,:,I),TRANSPOSE(ROT)ENDDOTOTAL_TH=sum(T)HALF_TH=TOTAL_TH/2Z(1)=-HALF_TH!Work out ZDO I=1,NZ(I+1)=Z(I)+T(I)ENDDO!calculate tensor A、B and DDO K=1,NZ1(K)=(Z(K+1)-Z(K)Z2(K)=(Z(K+1)-Z(K)*(Z(K+1)+Z

39、(K)/2Z3(K)=(Z(K+1)*3-Z(K)*3)/3ENDDOA=0;B=0;D=0WRITE(*,*)"Please insert the OUP file name(b.txt for example):"READ(*,*)filename2OPEN(9,file=filename2)!Write in stiffness tensor for each single plyDO K=1,NWRITE(9,100)K100 FORMAT("The stiffness of number",1X,I2,2X,"ply is:"

40、;)DO I=1,3WRITE(9,200)Q(I,:,K)200 FORMAT(ES12.4,6X,ES12.4,6X,ES12.4)ENDDOWRITE(9,"(/)")A=A+Q(:,:,K)*Z1(K)B=B+Q(:,:,K)*Z2(K)D=D+Q(:,:,K)*Z3(K)ENDDO!Output the actual stiffness of the laminateWRITE(9,"(/)");WRITE(9,"(/)")WRITE(9,*)"The ACTUAL stiffness tensor of the

41、laminate:"WRITE(9,"(/)")WRITE(9,*)"The extension stiffness A equals:"DO I=1,3WRITE(9,200)A(I,1:3)ENDDOWRITE(9,"(/)")WRITE(9,*)"The coupling stiffness B equals:"DO I=1,3WRITE(9,200)B(I,1:3)ENDDOWRITE(9,"(/)")WRITE(9,*)"The bending stiffness

42、D equals:"DO I=1,3WRITE(9,200)D(I,1:3)ENDDO!Normalised tensor outputWRITE(9,"(/)");WRITE(9,"(/)")WRITE(9,*)"The NORMALISED stiffness tensor of the laminate:"WRITE(9,"(/)")WRITE(9,*)"The NORMALISED extension stiffness A* equals:"DO I=1,3WRITE(9,2

43、00)A(I,1:3)/TOTAL_THENDDOWRITE(9,"(/)")WRITE(9,*)"The NORMALISED coupling tensor C equals:"DO I=1,3WRITE(9,200)A(I,1:3)/TOTAL_TH-12*D(I,1:3)/TOTAL_TH*3ENDDOWRITE(9,"(/)")WRITE(9,*)"The NORMALISED bending stiffness D* equals:"DO I=1,3WRITE(9,200)12*D(I,1:3)/TOT

44、AL_TH*3ENDDOWRITE(*,*)"OUTPUT successfully,please press any key to end program!"READ(*,*)END PROGRAM COMPOSITE附2楊濤同學的MATLAB（GUI）計算程序。主要程序：（編了個小界面，程序略長，刪掉一些程序自帶解釋語句，添加了一些對關(guān)鍵語句的解釋。）界面是：作的一個算例如下：該算例結(jié)果與組內(nèi)同伴James Wilson同學基本一致，其余算例結(jié)果也基本一致，僅僅在趨近于零時有略微差異，在此不贅于。 后邊附上源代碼：function varargout = composi

45、t_plate(varargin)gui_Singleton = 1;gui_State = struct('gui_Name', mfilename, . 'gui_Singleton', gui_Singleton, . 'gui_OpeningFcn', composit_plate_OpeningFcn, . 'gui_OutputFcn', composit_plate_OutputFcn, . 'gui_LayoutFcn', , . 'gui_Callback', );if nargi

46、n && ischar(varargin1) gui_State.gui_Callback = str2func(varargin1);end if nargout varargout1:nargout = gui_mainfcn(gui_State, varargin:);else gui_mainfcn(gui_State, varargin:);endfunction composit_plate_OpeningFcn(hObject, eventdata, handles, varargin)handles.output = hObject;guidata(hObjec

47、t, handles);ha=axes('units','normalized','position',0 0 1 1);%嵌入坐標，為嵌入背景圖片準備uistack(ha,'down')%作為背景II=imread('武漢大學.jpg');%讀入圖片信息image(II)colormap hsvset(ha,'handlevisibility','off','visible','off')function varargout = composit_p

48、late_OutputFcn(hObject, eventdata, handles) varargout1 = handles.output;function edit1_Callback(hObject, eventdata, handles)function edit1_CreateFcn(hObject, eventdata, handles)if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor') set(hOb

49、ject,'BackgroundColor','white');endfunction edit2_Callback(hObject, eventdata, handles)function edit2_CreateFcn(hObject, eventdata, handles)if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor') set(hObject,'BackgroundC

50、olor','white');endfunction edit3_Callback(hObject, eventdata, handles)function edit3_CreateFcn(hObject, eventdata, handles)if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor') set(hObject,'BackgroundColor','white&

51、#39;);endfunction edit4_Callback(hObject, eventdata, )function edit4_CreateFcn(hObject, eventdata, handles)if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor') set(hObject,'BackgroundColor','white');end function pushbutton1_Callback(hObject, eventdata, handles)syms e1 e2 v21 g12 ang %本程序采用符號運算v12=v21*e2/e1;q=e1/(1-v12*v21),v21*e2/(1- v12*v21),0v21*e2/(1-v12*v21),e2/(1-v12*v21),00,0,g12;tran= cos(ang)2, sin(ang)2, -sin(2*ang)sin(ang)2, cos(ang)2,