1、介紹神經(jīng)網(wǎng)絡(luò)算法在機(jī)械結(jié)構(gòu)優(yōu)化中的應(yīng)用的例子（大家要學(xué)習(xí)的時候只需要把輸入輸出變量更改為你自己的數(shù)據(jù)既可以了，如果看完了還有問題的話可以加我微博“極南師兄”給我留言，與大家共同進(jìn)步）。把一個結(jié)構(gòu)的8個尺寸參數(shù)設(shè)計為變量，如上圖所示，對應(yīng)的質(zhì)量，溫差，面積作為輸出。用神經(jīng)網(wǎng)絡(luò)擬合變量與輸出的數(shù)學(xué)模型，首相必須要有數(shù)據(jù)來源，這里我用復(fù)合中心設(shè)計法則構(gòu)造設(shè)計點，根據(jù)規(guī)則，八個變量將構(gòu)造出81個設(shè)計點。然后在ansysworkbench中進(jìn)行81次仿真（先在proe建模并設(shè)置變量，將模型導(dǎo)入wokbench中進(jìn)行相應(yīng)的設(shè)置，那么就會自動的完成81次仿真，將結(jié)果導(dǎo)出來exceeI文件）Matlab程序如

2、下22.487610531.753716844.00991157312.4621416813.266106314.009911573P=202.5614.916.5614.916.5152.5614.916.5614.916.5252.5614.916.5614.916.5201614.916.5614.916.5204614.916.5614.916.5202.5214.916.5614.916.5202.51014.916.5614.916.5202.561016.5614.916.5202.5619.816.5614.916.5202.5614.910614.916.5202.5614.

3、923614.916.5202.5614.916.5214.916.5202.5614.916.51014.916.5202.5614.916.561016.5202.5614.916.5619.816.5202.5614.916.5614.910202.5614.916.5614.92317.512389471.753716844.00991157312.4621416813.266106314.00991157312.4621416819.7338936913.266106313.246283164.00991157312.4621416813.266106314.00991157317.

4、3378583219.7338936922.487610533.246283164.00991157312.4621416813.2661063117.3378583213.2661063117.512389471.753716847.99008842712.4621416813.2661063117.3378583219.7338936922.487610531.753716847.99008842712.4621416813.2661063117.3378583213.2661063117.512389473.246283167.99008842712.4621416813.2661063

5、112.4621416819.7338936922.487610533.246283167.99008842712.4621416813.2661063112.4621416813.2661063117.512389471.753716844.00991157317.3378583213.2661063117.3378583213.2661063122.487610531.753716844.00991157317.3378583213.2661063117.3378583219.7338936917.512389473.246283164.00991157317.3378583213.266

6、1063112.4621416813.2661063122.487610533.246283164.00991157317.3378583213.2661063112.4621416819.7338936917.512389471.753716847.99008842717.3378583213.2661063112.4621416813.2661063122.487610531.753716847.99008842717.3378583213.2661063112.4621416819.7338936917.512389473.246283167.99008842717.3378583213

7、.2661063117.3378583213.2661063122.487610533.246283167.99008842717.3378583213.2661063117.3378583219.7338936917.512389471.753716844.00991157312.4621416819.7338936917.3378583213.2661063122.487610531.753716844.00991157312.4621416819.7338936917.3378583219.7338936917.512389473.246283164.00991157312.462141

8、6819.7338936912.4621416813.2661063122.487610533.246283164.00991157312.4621416819.7338936912.4621416819.7338936917.512389471.753716847.99008842712.4621416819.7338936912.4621416813.2661063122.487610531.753716847.99008842712.4621416819.7338936912.4621416819.7338936917.512389473.246283167.99008842712.46

9、21416819.7338936917.3378583213.2661063122.487610533.246283167.99008842712.4621416819.733893694.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115734.0099115

10、734.0099115734.00991157317.3378583219.7338936917.512389471.753716844.00991157317.3378583219.733893694.00991157319.7338936922.487610531.753716844.00991157317.3378583219.733893694.00991157313.2661063117.512389473.246283164.00991157317.3378583219.733893694.00991157319.7338936922.487610533.246283164.009

11、91157317.3378583219.733893694.00991157313.2661063117.512389471.753716847.99008842717.3378583219.733893694.00991157319.7338936922.487610531.753716847.99008842717.3378583219.733893694.00991157313.2661063117.512389473.246283167.99008842717.3378583219.733893694.00991157319.7338936922.487610533.246283167

12、.99008842717.3378583219.733893694.00991157313.266106311.753716844.00991157313.266106311.753716844.00991157319.733893693.246283164.00991157313.266106313.246283164.00991157319.733893691.753716847.99008842713.266106311.753716847.99008842719.733893693.246283167.99008842713.266106313.246283167.9900884271

13、9.733893691.753716844.00991157319.733893691.753716844.00991157313.266106313.246283164.00991157319.733893693.246283164.00991157313.266106311.753716847.99008842719.733893691.753716847.99008842713.2661063112.4621416813.266106317.99008842712.4621416813.266106317.99008842712.4621416813.266106317.99008842

14、712.4621416813.266106317.99008842712.4621416813.266106317.99008842712.4621416813.266106317.99008842712.4621416813.266106317.99008842712.4621416813.266106317.99008842717.3378583213.266106317.99008842717.3378583213.266106317.99008842717.3378583213.266106317.99008842717.3378583213.266106317.99008842717

15、.3378583213.266106317.99008842717.3378583213.266106317.9900884273.246283167.99008842717.3378583213.266106317.99008842719.733893693.246283167.99008842713.266106311.753716844.00991157319.733893691.753716844.00991157313.266106313.246283164.00991157319.733893693.246283164.00991157313.266106311.753716847

16、.99008842719.733893691.753716847.99008842713.266106313.246283167.99008842719.733893693.246283167.99008842713.266106311.753716844.00991157313.266106311.753716844.00991157319.733893693.246283164.00991157313.266106313.246283164.00991157319.733893691.753716847.99008842713.266106311.753716847.99008842719

17、.733893693.246283167.99008842713.266106313.246283167.99008842717.3378583213.266106317.99008842712.4621416819.733893697.99008842712.4621416819.733893697.99008842712.4621416819.733893697.99008842712.4621416819.733893697.99008842712.4621416819.733893697.99008842712.4621416819.733893697.99008842712.4621

18、416819.733893697.99008842712.4621416819.733893697.99008842717.3378583219.733893697.99008842717.3378583219.733893697.99008842717.3378583219.733893697.99008842717.3378583219.733893697.99008842717.3378583219.733893697.99008842717.3378583219.733893697.99008842717.3378583219.733893697.99008842717.3378583

19、219.733893697.99008842719.73389369;%注意因為本人做了81組仿真試驗，這里的矩陣后面有轉(zhuǎn)置符號，在神經(jīng)網(wǎng)絡(luò)模型中，輸入P的是8X81的矩陣（把程序復(fù)制過來之后格式?jīng)]對齊，大家自己調(diào)整一下啦），對應(yīng)的下面的輸出T的是3x81的矩陣。T=150.7492.2849913.466165.1482.640219.6525138.0611.9297617.2795149.4462.2570413.766151.6422.3129313.166147.1462.2294714.062154.1312.340512.87144.1642.257613.76155.8892.

20、3123713.172150.6462.2849913.466150.6212.2849913.466147.0912.2294714.062154.1662.340512.87144.2892.257613.76155.5532.3123713.172150.6532.2849913.466150.7042.2849913.466148.4242.3760912.4879134.9522.0191716.3197154.2642.4186512.0311141.2072.0686415.7885156.4922.4405111.7964142.6712.0835815.6282152.473

21、2.4466411.7306138.3292.0966315.488159.6962.4125212.0969145.9472.0555915.9287155.4012.4186512.0311141.732.0686415.7885157.4082.4585811.6024144.12.1016615.4341163.4832.5011411.1455150.4832.1511414.9029154.1112.394312.2924140.4182.0373816.1242149.2532.4004412.2266135.9972.0504315.984151.5182.422311.991

22、9137.2572.0653715.8237158.052.4648511.535143.7392.1148515.2925153.6412.394312.2924140.7232.0373816.1242158.9562.4368611.8355146.9332.0868515.593160.7312.476811.4068149.3152.1198715.2386156.8422.4829311.341145.172.1329215.0984156.9422.4585811.6024143.9482.1016615.4341152.5032.4466411.7306138.4862.096

23、6315.488154.842.468511.4959139.7952.1115715.3276161.5742.5291410.845147.5022.1791314.6024156.9752.4405111.7964143.062.0835815.6282162.6882.5011411.1455150.4832.1511414.9029164.5882.5410810.7168153.0242.1841514.5485160.9082.5291410.845147.7942.1791314.6024151.4372.422311.9919137.3862.0653715.8237156.

24、9792.4829311.341144.9152.1329215.0984159.1672.5047911.1063146.2292.1478614.9381155.6992.4928511.2345140.7672.1428414.992161.7822.476811.4068149.1242.1198715.2386157.8192.4648511.535143.82.1148515.2925159.5532.5047911.1063146.1862.1478614.9381166.5122.5654210.4554153.8962.2154214.2129;%T為目標(biāo)矢量PRps=mapminmax(B-1,1);%把P歸一化處理變?yōu)閜p,在范圍(-1,1)內(nèi)%把T歸一化處理變TT,在范圍(-1,1)內(nèi)，