(Luận án tiến sĩ) 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 học1 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 '