Tính toán trạng thái đàn dẻo của một số kết cấu chụi quá trình đặt tải phức tạp bằng phương pháp biến thể nghiệm đàn hồi : Luận án PTS. Cơ học: 1 02 21

^ DAI HOC Q u d c GIA H A N O I TRllONG DAI HOC KHOA HOC TV NHI£N Va Khic Bay TCVH T O A N T R A N G T H A I D A N DEO CUA MOT SO K&V CAU e m u QUA TRENfH D A T T A I PHtfC TAP BANG PHUONG P H A P BI^N rafi N G H l t M D A N HOI C!)uji uii(|)o|)MaunH B Mrionc KoirrMiii»ix ijK^MciixoB ll|K)r) iipoqiiocxM, 1975, No.3, (•.42-4(> 17 J\ao 3yii BHK MoA"(h"KnUU" cooxnoiueHuii yiip^TonJiacxii'KM-Kux npouorcoB cpeAueii KPHBHSHM BecruiiK MTV, Krinni H.iB cep KaBK nayK(;nepnbiii ('f)(>pninc, 1960, T 30 2() JKyicon A.M J|(H|)opMan,non!!an ann.ioxponnji n uojnyMccrb MajioyrjiepoAucxoii cxajin npn nopMajibiioii xcMiiepaiypc MiUKeiiepubiii >Ky[)i!aji, 1961, T I, Kbin.4 27 3aropoAnaii P.A., OpuAMaii B.M MoAU(}>nKanna MexoAa Jl.l> KaiiropoBUMa B xeopnn nJiacxuMecKoro xcMenun H.^B All ApM CCP, 1977, T , No I 28 3apxH A.A., liopnoou B.P () MiirjicnnoM [uMiuMnn! :taA»'ni njiarxiiMecKoro xeMemiH Miuvien MexoAbi MrxannKii rn.ii(>nin76 0.99 4.9F-04 GO«/OB -1.2679 -1.2629 3.9E-03 -1.2642 -1 2618 1.9F-03 Grr/^s - 1170 - 1168 5E-03 -0.1169 -0.1168 7.4F-04 GM/CK 1.2136 I 2087 4.0E-O3 1.2100 1.2076 2.0F-03 l E - -0.0070 -0.0070 3.2F-04 0.0030 0.0030 6.9F-04 3.2E-04 -0.0070 0.0030 -0.0070 0.0030 2.5E-04 0.9998 0.9993 4.5E-04 0.9991 0.9988 (7oo/6^s &rr/^s -1 2870 -1.2805 l F - -1 2803 -1.2782 l.'E-n3 -0.1213 -0.1209 3.0E-03 -0.1211 -0.1209 2.0E-0 6u/6(5 1.2308 1.2245 l E - 1.2242 1.2222 3.5F-04 6F-03 -0.0073 -0.0073 3.0E-03 -0.0073 -0.0073 Frr 0.0031 0.0031 1.7E-03 0.0031 0.0031 "• E - Cos If 0.9988 0.9981 6.8E-04 0.99''6 0.1973 3.lF-04 5o«/0S -1.3018 5.''E-03 -1 3009 -1 2988 ^F-03 -1.3093 brr/6"8 -0.1268 -0.1265 t ,9E-03 -0.1266 -0.1265 'ãE-04 1.2434 5.9E-03 1.2425 1.2403 -0.0077 Fâo ã -0.0065 0.0028 0.9982 Cos If q -0.0065 2.6F-04 Err -0.4367 lE-03 4.8E-04 0.9987 O-OOWR P • 0.0028 0.9989 Eoo g.doAn -0.0065 0.0028 7F-03 4.5E-04 0.99S3 • q -0.0065 1833 6u/6^s Eo© Frr COR if 1.2507 "E-03 a.7F-04 -0.0076 -0.0077 4.4F-03 -0.007" 0.0032 0.0032 2.6E-03 0.0032 0.0032 l.lF-04 8.6E-04 0.9971 0.9966 4.-F-04 0.9985 0.9976 TOAN KEO-UON BAN TRON CO LO HONG giai I I I iTai ngoaiiDnl 1 g.doan • 0.3431 q • 0.00042 g.doan P • 0.3600 lap Sal so I luong I I P BO an d o n n Do c o n g •.rung b i n h Bien r - b n|tna so an lap S(\i BO ! 0.9370 0.9370 O.OE+00 0.9370 0.9370 6"rr/6« 0.0447 0.0447 O.OE+00 0.0447 0.0447 O.OE+00 6u/Gs 0.9155 0.9155 O.OE+00 0.9155 0.9155 O.OE+00 Eoe Err O.OE+00 0.0045 0.0045 O.OE+00 0.0045 0.0045 O.OE+00 -0.0021 -0.0021 O.OE+00 -0.0021 -0.0021 O.OE+OO Co«(f 1.0000 1.0000 O.OE+00 1.0000 1.0000 O.OE+OO S»f>/fia 6rr/oa 0.9807 0.9805 2.2E-04 0.9807 0.9805 2,3E-04 0.0463 0.0467 8.7E-03 0.0463 0.0467 8.7E-03 6'u/Ss 0.9584 0.9580 4.2E-04 0.9584 0.9580 4.2E-04 4.4E-04 • Eoe 0.0047 0.0047 4.4E-04 0.0047 0.0047 0.00043 Err -0.0022 -0.0022 1.2E-03 -0.0022 -0.0022 I.2E-03 Cos[C 0.9999 1.0000 5.6E-05 0.9999 1.0000 5.6E-05 beo/^s 0.9916 1.0254 3.4E-02 0.9913 1.0254 3.4E-03 Drr/^8 0.0455 0.0480 5.2E-02 0.0455 0.0480 5.3E-02 6u/68 0.9696 1.0023 3.3E-02 0.9694 1.0023 3.3E-02 q g.donn P • 0.3773 • Eee 0.0050 0.0050 1.4E-03 0.0050 0.0050 1.4E-03 0.00043 Err -0.0023 -0.0023 2.8E-03 -0.0023 -0.0023 2.9F-03 0.9995 0.9999 3.7E-04 0.9995 0.9999 3.7E-04 3.4F-02 q Cos (f g.donn P • 0.3951 Ooo/os 1.0039 1.0377 3.3E-02 1.0026 1.03^7 Drr/OB 0.0453 0,0462 2.lE-02 0.0456 0.0462 1.4E-03 Du/os 0.9821 1.0154 3.3E-02 0.9806 1.0153 3.5E-02 • Eae 0.0052 0.0052 2.2E-03 0.0052 0.0052 1.9E-03 0.00044 Err -0.0024 -0.0024 1.3E-03 -0.0024 -0.0024 5.2E-04 0.9996 0.9991 4.lE-04 0.9997 0.9991 5.6F-04 3.8F-02 q Cos tf g.doan P • 0.4133 q • 0.00044 bno/tw 1.0177 1.0528 3.4E-02 1.0138 1.0528 &rr/^s 0.0462 0.0466 9.2E-03 0.0462 0.0466 i.OE-o: &U/&S 0.9954 1.0303 3.4E-02 0.9916 1.0303 3.8E-02 Eee Err Cost^ g.doan p • 0.4226 q • 0.00045 P • 0.4367 q • 0.00045 g.doan P • 0.4534 q • 0.00045 0.0054 1.7E-03 0.0054 0.0054 3E-03 -0.0025 4.7E-05 -0.0025 -0.0025 6.IE-04 0.9999 0000 8.5E-05 0.9999 0000 OE-04 ()00/& 1.0219 1.0409 I.8E-02 1.0196 1.0409 3.IE-02 hr T/€B 0.0469 0.0472 5.7E-03 0.0469 0.0472 5.SE-03 Wfi's 0.9993 1.0182 1.9E-02 0.9969 1.0182 2.1E-02 0.0056 0.0056 3.7E-04 0.0056 0.0056 4.2E-04 -0.0026 -0.0026 5.8E-04 -0.0026 -0.0026 6.0F-04 0.9987 0.9995 8.OE-04 0.9986 0.9995 8.6E-04 IE-OS Eeo Err Cos £f g.doan 0.0054 -0.0025 Dee/OS 1.0342 I.0291 S.OE-03 1.0288 1.0288 ^rr/6s 0.0475 0.0473 2.9E-03 0.0468 0.0473 lE-02 Su/^s 1.0113 1.0063 5.OE-03 0063 1.0060 3.OE-04 0.0058 0.0058 2.2E-04 0.0058 0.0058 4E-04 -0.0027 -0.0027 7.IE-OS -0.0027 -0.0027 8.6E-04 Cos tf 0.9999 0.9999 2.8E-05 1.0000 0.9991 9.3E-05 Oee/&s 1.0482 1.0416 6.3E-03 1.0412 1.0406 6.4E-04 0.0469 0.0469 l.OE-03 6.3E-04 1.3E-04 Eeo Err Orr/os 0.04 74 0.0469 8.7E-03 1.0353 1.0189 6.3E-03 1.0186 1.0179 Eoe 0.006Q 0.0061 9,9E-04 0.0061 0.0061 Err -0.0028 -0.0028 1.2E-03 -0.0028 -0.0028 1.1F-04 0.9999 0.9999 3.0E-05 0.9999 0.9999 5.6F-06 6^u/fi Co«CP RET QUA TINH TOAN VO TRU - Voi he thuc b i e n dang PHUC TAP TAI niEM CO TOA no : 19 , , -$ no VONG TAI DIPM CO TOA DO ; 10 , 10 Tinh cho l o a i thep BTl co cac thong s o : fffl;.4n00 Kg/cm2 ; betn0e90 01 : oO 4F + 6/Wig; R/r=0.25 , F/WK:B W2:»0,93; 1000 Chia c h l c u d n i , rong c a o : 21 , 21 , II DIEM fftc khni t r i e n FOURTFR OIAI DOAN :3 BII -4.158E-0S m m 8.526E-05 VII 4.204E-04 122 2.5 79E-02 2.562E-03 wl2 5.124E-01 fu 8.878E-01 Cflc dai lay den 12 BO hnng ! Lan lap ! I ! luong I Inn l a p ! Sai t ! so ! Lap t ft Lan l a p ! Sai so Lap ! Lan U p ! * ! Fll -3 ^ ! lOOE-01 - 091E-05 364E-01 6R2E-05 044E-01 802E-0I 356E-05 939E-01 207E-03 802E-02 8.60IE-05 2.6I8E-fl3 089E-03 4.241E-04 2.601E-02 -9 890E-03 026E-04 432E+01 - 961E-01 -4 _4 390C-05 37 8F,~ni - 5S3C-05 45ir,-0I I 6r,0R-05 259i;-03 I 620r,-02 284r,-03 774E-02 g35E-01 -1 430r>02 938F,-01 - 206F-02 701E-03 680E+01 - E - a3 2E-01 - 49r.E-04 790E-03 A 170E-0I 112 5.23SE-01 178E-01 I 802E-01 I21E-01 314E-03 Wu 9.071E-01 070E+00 797E-0I 060E+00 246E-03 065El 00 755E-03 069rf00 896E-03 976E-01 125F,~03 79K-0 1 OOOE + 0 niAi DOAN Up ! 'o;f\-.~ur> 150E-01 COSU? ! !ssrs:.z = s = s = s = : 314E-05 m 132 ! :4 -4.194E-0S F32 til ! Sai Kn so ! lan lap I,np ! 9BIRBBB>ISXeSaSES=*S3B==! niAi DOAN ! Sn i ! 961E-01 039E-01 971E-01 * !S -4 3I2E-05 196E-03 -4 328E-05 78SE-03 -4 193E-0S 12SE-02 -4 1R2E-05 Ell -4.2S1E-0S m m 1.48SE-0S 463F.-0S I 687E-02 464E-05 311E-04 492E-05 904 ( 02 497E-05 3.337E-03 371E-03 030E-02 395E-03 051E-03 412E-03 076E-03 424C-03 tfi -1.424E-02 -1 435E-02 548E-03 -I 435E-02 576E-04 -1 371E-r,2 4RnE-02 -1 362E-n2 m -2.S23E-03 -2 66E-03 643E-02 793E-03 83iE-03 -2 410E-03 - l , > i - , 1>6F.- :» -2 »12 6.260E-01 268E-01 I 32SE-03 276E-01 270E-03 283E-01 I l!7r."03 tu 1.084E+00 O86E40O 325E-03 087E+00 270E-03 OSSEtOO mip 4.983E-01 995E-01 279E-03 998E-01 49SE-04 •OOCE-O 2.".^!;- - nn:-oj ?:.(.Ơ- , nr>f'.4^', ã"* ã " • • • ' " • • ' KET QUA TINH TOAN VO TRU - Voi he thuc bien dang TRUNG BINH TAI DIEM CO TOA DO ; 19 , , -5 DO VONO TAI DIEM CO TOA DO : 10 , 10 Tinh cho loai thep BTl co cac thong so : Ws:=4000 Kg/cm2 ; GI:=0.4E+6/Ws; W2!»0,92i b«tB0«90 , RL«0.35 , RliB 1000 Chia chieu dai, rong ,cao : 21 , 21 11 DIEM Cac khai trien FOURIER lay den 12 so hang OIAI DOAN :2 -4.103E-05 Ell E22 8.4I4E-05 E12 Wll W22 W12 2.506E-03 4.149E-04 2.545E-02 5.0I2E-OI Wu 8.685E-01 Cac I Lan dai I lap ! ! Lan lap I t luong ! ! t OIAI DOAN :3 -4.194E-05 8.601E-0S 2.673E-03 4.241E-04 2.601E-02 -3.312E-05 679E-05 157E-03 -9.891E-03 9.3I2E-0S Sai ! Lan 1ap Lap so 1 ft I I Sai so ! Lap ! * ! Lo ap 5a i ! KG Lfip ! 3*4 : 5.347E-0I 9.264E-01 -3.735E-05 I 636E-05 3.300E-03 -1 198E-02 -8.428E-04 6.265E-01 1.085E+00 275E-01 2.57Rn-02 4.S32B-02 llSE-01 6.314E-01 I.094E+00 2.103E-01 8.047E-01 1.809E-01 2.432E+01 9.964E-01 I.809E-01 1.805E-01 niAi DOAN :4 -3.496E-05 Ell -3.195E-05 8.624E-02 -2.834E-05 129E-01 -1 693E-05 027F ni 1.697E-05 2,184E-05 2.872E-01 1.949E-05 1.074E-01 531E-05 145F-1I1 3.641E-03 3.867E-03 -8.317E-03 2.525E-03 6.206E-02 4.036E-03 -6.984E-03 2.318E-03 7.011E-01 1.214E+00 4.999E-01 4.359E-02 170E-03 :il3r-02 I.603E-01 -3 176E-03 041E-O3 0S4E-01 Fll E22 F12 Wll W22 W12 Wu E22 E12 Wll W22 W12 Wu COSW -1.102E-02 -1.094E-04 6.858E-01 I.I88E+00 4.999E-01 6.932E-0I 1.201E+00 4,999E-01 2.45IE-0I 2.407E+01 I.077E-02 1.076E-02 6.302E-05 l.oosr+oi 7.659E-03 7.643E-03 8.220E-02 1.141E-02 1.140E-02 73 IE-or 227E400 ,99SE-G1 I 1 452F-01 120F~01 031E-03 029F-0 nor-04 KET QUA TINH TOAN LUOI VO TRU - Tua tu tren cac bien TAI DIEM CO TOA DO : 10 , 20 , -10 DO VONG TAI DIEM CO TOA DO : 10 , Wb:sl00') K(i/cw2 ; GI: =0.8E+6/Ws; TINH goc I'Hl = 45 ; beta0 = 90 RL=0.25; C0=lE-5; Kl;=l/sqrt{12*00); ctii: = l; sin2 : = l/2; Chia chieu Uut, rung Tgii\n:e0.25K-4 , ,cao : 21 , 41 , 21 DIEM G:= (0.9E-3tgiai_doan«tgian)/wS tht'«i thenG:a (0.9E-3+( I, S*gitti_doun-l )• tgian)/wS r.:a (0.9E-3+ 5*tgian)/wS if giai_aoanS : Lnn dni t Inp I I luong I ein20:ôl; be;ôpi/2 tng.ằl: COB2:ằI/2 eta:ãrl/(6ôgl); 0:o ( 1.1IE-3+giai_doan*tgian)/wS; O:* {1.11E-3+S*tgian)/wS; Lan lap Sai so ! Lap A t OIAI DOAN W2:ôl- 0.224; Rl:ãl/sqrt(12ôC0); ,cao : 21 , 41 , 21 DIEM Neu gini donn s « r a « « a a « e a = E > B a e « a T z s s a a a a e s a s s a a s = a = = = = = = => = s r = -z=za==aaec=E Ia a aBcaaaaaaaa Gdoan Wz- -1 OE-0001 Fr ! -1.7F-0003 Er ! S.4E-0004 3.5E-0004 , To_z = -I 8E-0003 I 3.9t-000 0-0.5 I 5E-0002 -1 RE-non.T 7E-0003 : 3E-0002 8.4F-0004 2E-0003 ! 8.5E-0004 ! 3.6E-0004 ! 3.2E-0002 3.6F-0004 •^F-ono3 ! -6.8E-0001 : 1.6E-0002 -6.7F-0001 2F-0003 ! tr? « ! *;77 • ! -6.9F-0001 Srr * ! 3.3F-0001 3.3E-0001 ! '»E-0002 2F-000I RE-0003 : ! 1.4E-0001 I 4E-0001 ! 4.2E-0003 4E-0001 OF-0003 ! SE-0003 ! Srz -2.OE-0001 ! 9.3E-0004 To_z = 3.9F-000 = 0.5 ! 5E-O002 ' -2.0E-0003 ! 4.3E-00O2 - IE-0003 9.7E-0004 ! lF-0002 9.9K-0004 5F-0002 ! iF-ono2 ; Frz « ! 3.6R-0004 3.8E-0004 ' 5.4E-0002 3.9E-0004 S7Z = ! -7.4F-000I -7.3E-0001 ! 1.8E-0002 -7.3E-0001 OE-0003 ! 3.5E-0001 4F-0004 ! "E-0003 ! Srr ! 3.6E-0001 2.0E-0002 3.5E-0OO1 I I 4F-0001 4F-000! ' ".(.F-0004 4F-0001 S « ! 2.OE-0OO3 2.IE-0003 lF-0002 2.2F-0003 5F-000: ! C O B I'^ S ! 9.8E-0001 9.9F-000I I 3E-0002 9,9E-0001 4F-0004 : Vu • ! I.IP+0000 lE + 0000 I.7F-0002 lEtOOOO 7F-0004 ' Rr7 Wza -3.01,-0001 Gdoan tr ! -2.2E-0003 r.r ! • Frz • To_z = 3.9F-000 • 0.5 -2.4E-0003 7.6E-0002 -2.5E-0003 4F-0002 ! 1.lE-0003 I.2E-0003 7.2E-0002 2r-0003 3E-O002 ! 3.9E-0004 4.4E-0004 lE-0001 4.5F-0004 2F-0002 ! 3F-000 ! Szz • ! -8.OE-0001 I -7.6E-0001 5.0E-0O02 -7,6F-0001 Srr • ! 3.8E-0001 • 3.6E-0001 5.6F-0002 3.6E-0001 5F-n0O3 ' Srz • ! 1.4E-0001 I 1.4E-000I 3.9E-0003 4F-0001 *)F-0003 '