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  1. 1. TRƯỜNG ĐẠI HỌC XÂY DỰNG VIỆN XÂY DỰNG CÔNG TRÌNH BIỂN BÀI TẬP LỚN MÔI TRƯỜNG BIỂN SINH VIÊN :NGUYỄN XUÂN LƯU MSSV :87653 - LỚP 53CB3 MÃ ĐỀ : A-VI-4 I /SỐ LIỆU TÍNH TOÁN 1.1 /số liệu môi trường chiều cao sóng H ( m ) 14 chu kỳ sóng T (s ) 12 Độ sâu nước d0 (m ) 37 Biên độ thủy triều lớn nhất d1 (m) 3 Chiều cao nước dâng do bão d2`(m ) 1.5 Hướng sóng α (độ ) 30 0.5236 1.2./CÁC THÔNG SỐ CỦA CÔNG TRÌNH H1(m) H2 (m ) H3 (m ) H4 (m ) A(m) B(m) 18 16 13 12 20 20
  2. 2. II /TÍNH ĐỘ SÂU NƯỚC TÍNH TOÁN d=d0 +d1+d2= 41.5 (m) III / CHỌN HỆ TRỤC TỌA ĐỘ ĐÁNH SỐ NÚT CHO KẾT CẤU CHÂN ĐẾ (chon hệ trụ tọa độ OXYZ là hệ trục tọa độ của kết cấu OXY trùng với mặt phẳng đáy biển chon hệ trục oxyz là hệ trục tọa độ của sóng ( trục ox trùng với hướng sóng ,trục oxy trùng với MNL ) z y z' y' MLN x x' α d Z Y ĐÁY BIỂN O X công thức đổi trục x=x'cosα-y'sinα x'=X x=Xcosα-Ysinα y=x'sinα +y'cosα (xoay ) y'=Y (tịnh tiến xuống) y=Xsinα +Ycosα z=z' z'=Z z=Z -d IV /TÍNH TỌA ĐỘ NÚT
  3. 3. NÚT X(m ) Y (m ) Z(m) x(m) y(m) z (m ) 1 0.0000 -10.0000 0.0000 5.0000 -8.6603 -41.5000 2 10.0000 -10.0000 0.0000 13.6603 -3.6603 -41.5000 3 20.0000 -10.0000 0.0000 22.3205 1.3397 -41.5000 4 0.0000 -2.0000 0.0000 1.0000 -1.7321 -41.5000 5 0.0000 0.0000 0.0000 0.0000 0.0000 -41.5000 6 20.0000 0.0000 0.0000 17.3205 10.0000 -41.5000 7 0.0000 2.0000 0.0000 -1.0000 1.7321 -41.5000 8 0.0000 10.0000 0.0000 -5.0000 8.6603 -41.5000 9 10.0000 10.0000 0.0000 3.6603 13.6603 -41.5000 10 20.0000 10.0000 0.0000 12.3205 18.6603 -41.5000 11 9.4152 -8.8303 9.5264 12.5689 -2.9397 -31.9736 12 9.4152 8.8303 9.5264 3.7386 12.3548 -31.9736 13 0.0000 0.0000 10.1181 0.0000 0.0000 -31.3819 14 18.7577 0.0000 10.1181 16.2446 9.3788 -31.3819 15 0.0000 -7.7899 18.0000 3.8949 -6.7462 -23.5000 16 8.8949 -7.7899 18.0000 11.5982 -2.2988 -23.5000 17 17.7899 -7.7899 18.0000 19.3014 2.1487 -23.5000 18 0.0000 0.0000 18.0000 0.0000 0.0000 -23.5000 19 17.7899 0.0000 18.0000 15.4065 8.8949 -23.5000 20 0.0000 7.7899 18.0000 -3.8949 6.7462 -23.5000 21 8.8949 7.7899 18.0000 3.8083 11.1937 -23.5000 22 17.7899 7.7899 18.0000 11.5115 15.6412 -23.5000 23 0.0000 -5.8253 34.0000 2.9127 -5.0449 -7.5000 24 7.9127 -5.8253 34.0000 9.7652 -1.0885 -7.5000 25 15.8253 -5.8253 34.0000 16.6178 2.8678 -7.5000 26 0.0000 0.0000 34.0000 0.0000 0.0000 -7.5000 27 15.8253 0.0000 34.0000 13.7051 7.9127 -7.5000 28 0.0000 5.8253 34.0000 -2.9127 5.0449 -7.5000 29 7.9127 5.8253 34.0000 3.9399 9.0012 -7.5000 30 15.8253 5.8253 34.0000 10.7925 12.9575 -7.5000 31 0.0000 -4.2291 47.0000 2.1146 -3.6625 5.5000 32 7.1146 -4.2291 47.0000 8.2759 -0.1052 5.5000 33 14.2291 -4.2291 47.0000 14.4373 3.4520 5.5000 34 0.0000 0.0000 47.0000 0.0000 0.0000 5.5000 35 14.2291 0.0000 47.0000 12.3228 7.1146 5.5000 36 0.0000 4.2291 47.0000 -2.1146 3.6625 5.5000
  4. 4. 37 7.1146 4.2291 47.0000 4.0468 7.2198 5.5000 38 14.2291 4.2291 47.0000 10.2082 10.7771 5.5000 39 0.0000 -3.8769 49.8690 1.9384 -3.3575 8.3690 40 3.0497 -3.8769 49.8690 4.5795 -1.8326 8.3690 41 13.8769 -3.8769 49.8690 13.9561 3.5810 8.3690 42 0.0000 -2.5592 49.8690 1.2796 -2.2163 8.3690 43 13.8769 -2.5592 49.8690 13.2973 4.7221 8.3690 44 0.0000 3.8769 49.8690 -1.9384 3.3575 8.3690 45 3.0497 3.8769 49.8690 0.7027 4.8823 8.3690 46 13.8769 3.8769 49.8690 10.0793 10.2959 8.3690 47 0.0000 -2.7557 59.0000 1.3779 -2.3865 17.5000 48 6.3779 -2.7557 59.0000 6.9012 0.8024 17.5000 49 12.7557 -2.7557 59.0000 12.4246 3.9913 17.5000 50 0.0000 0.0000 59.0000 0.0000 0.0000 17.5000 51 12.7557 0.0000 59.0000 11.0468 6.3779 17.5000 52 0.0000 2.7557 59.0000 -1.3779 2.3865 17.5000 53 6.3779 2.7557 59.0000 4.1455 5.5754 17.5000 54 12.7557 2.7557 59.0000 9.6689 8.7644 17.5000 V./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG AIRY LO Li ɛi 203.71122 192.56287 11.14835 198.13705 194.65452 3.482532 *CÁC THÔNG SỐ SÓNG THEO LÝ THUYẾT SÓNG AIRY 196.39578 195.30481 1.090975 195.85030 195.50817 0.342125 195.67923 195.57191 0.107326 H(m) T(s) L0 (m ) d(m) ω=2*π/T k=2*π/L 195.62557 195.59190 0.033672 14 12 195.60104 41.5 0.523599 0.032122453 195.60873 195.59817 0.010565 195.60345 195.60014 0.003315 195.60179 195.60075 0.00104 195.60127 195.60095 0.000326 195.60111 195.60101 0.000102 195.60106 195.60103 3.21E-05 195.60104 195.60103 1.01E-05
  5. 5. 195.60104 195.60104 3.16E-06 VI./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG STOCKES BẬC 5 BẢNG 3.3 BẢNG 3.5 a=k*H/2-(a^3*F33+a^5*(F35+F55) d/L0 F33 F35 F55 C1 C2 L=g*T^2/2π*(1=a^2*C1+a^4*C2)th(2π*d/L) 0.2 0.996 3.679 1.734 1.549 5.044 0.25 0.630 2.244 0.797 1.229 2.568 L0 Li ɛi d/L0 F33 F35 F55 C1 C2 a0 ai ɛi 203.71122 206.3603 2.64912 0.203720 0.9687714 3.572243102 1.664291837 1.525194 4.859798 0.215905 0.203698 0.012207 205.03579 205.8572 0.82139 0.202404 0.9784050 3.610014043 1.688954814 1.533616 4.924969 0.209802 0.203321 0.006481 205.44648 205.7353 0.28881 0.201999 0.9813667 3.621626429 1.696537257 1.536206 4.945006 0.206561 0.203432 0.003129 205.59089 205.7029 0.11197 0.201857 0.9824053 3.625698504 1.699196166 1.537114 4.952032 0.204997 0.203540 0.001457 205.64687 205.6932 0.04637 0.201802 0.9828076 3.627275628 1.700225968 1.537466 4.954753 0.204269 0.203602 0.000667 205.67006 205.69 0.01998 0.201779 0.9829741 3.627928528 1.700652286 1.537611 4.955879 0.203935 0.203632 0.000303 205.68005 205.6888 0.00880 0.201770 0.9830458 3.628209808 1.700835951 1.537674 4.956365 0.203784 0.203646 0.000137 205.68445 205.6884 0.00392 0.201765 0.9830774 3.628333686 1.700916839 1.537702 4.956579 0.203715 0.203653 6.19E-05 205.68641 205.6882 0.00176 0.201763 0.9830915 3.628388877 1.700952877 1.537714 4.956674 0.203684 0.203656 2.79E-05 205.68729 205.6881 0.00079 0.201763 0.9830978 3.628413613 1.700969028 1.537719 4.956716 0.20367 0.203657 1.26E-05 205.68768 205.688 0.00036 0.201762 0.9831007 3.628424731 1.700976288 1.537722 4.956736 0.203664 0.203658 5.68E-06 205.68786 205.688 0.000160 0.201762 0.9831019 3.628429736 1.700979556 1.537723 4.956744 0.203661 0.203658 2.56E-06 205.68794 205.688 0.000072 0.201762 0.9831025 3.628431991 1.700981028 1.537724 4.956748 0.20366 0.203658 1.16E-06 205.68798 205.688 0.000033 0.201762 0.9831028 3.628433007 1.700981692 1.537724 4.95675 0.203659 0.203659 5.21E-07 205.68799 205.688 0.000015 0.201762 0.9831029 3.628433465 1.700981991 1.537724 4.956751 0.203659 0.203659 2.35E-07 205.68800 205.688 0.000007 0.201762 0.9831029 3.628433671 1.700982125 1.537724 4.956751 0.203659 0.203659 1.06E-07 205.68800 205.688 0.000003 0.201762 0.9831030 3.628433764 1.700982186 1.537724 4.956751 0.203659 0.203659 4.77E-08 *CÁC THÔNG SỐ SÓNG THEO LTS STOCKES BẬC 5
  6. 6. L(m) H (m ) T (s ) d (m ) ω k=2*π/L 205.68800 14 12 41.5 0.523598789 0.030547165 VII. /XÁC ĐỊNH VÀ VẼ PROFIL SÓNG THEO LÝ THUYẾT SÓNG STOKES BẬC 5 BẢNG 3.3 d/L F22 F24 F44 0.2 0.927 1.398 1.259 0.25 0.699 1.064 0.676 *Tiến hành nội suy ta có L0 d/LO F22 F24 F44 F33 F35 F55 205.688 0.201762 0.918966 1.386231 1.238456342 0.983102952 3.628433705 1.700982 ɳ(x,y,t)=F1/k*cos(θ)+F2/k*cos(2θ)+F3/k*cos(3θ)+F4/k*cos(4θ)+F5/k*cos(5θ) với θ=kx-ωt F1 F2 F3 F4 F5 0.203659 0.040501 0.009576 0.00213055 0.0005960 T (s ) t=0 (s ) t=T/4 (s ) t=T/2 ( s ) t=3T/4 ( s ) 12 0 3 6 9 0 3 6 9 x θ ɳ θ ɳ θ ɳ θ ɳ 0 0 8.395585 -1.570796366 -1.25609081 -3.141592732 -5.604418 -4.71239 -1.25609 20 0.610943 5.760193 -0.959853069 3.016683787 -2.530649435 -4.960542 -4.10145 -4.03011
  7. 7. 40 1.221887 1.023331 -0.348909772 7.44686657 -1.919706138 -3.030855 -3.4905 -5.39073 60 1.83283 -2.63718 0.262033525 7.848687296 -1.308762841 0.411016 -2.87956 -5.48326 80 2.443773 -4.76821 0.872976822 3.709065508 -0.697819544 5.099282 -2.26862 -4.30217 100 3.054716 -5.59101 1.483920119 -0.73438637 -0.086876247 8.33391 -1.65767 -1.74621 120 3.66566 -5.12803 2.094863416 -3.72928809 0.52406705 6.381746 -1.04673 2.33563 140 4.276603 -3.39296 2.705806713 -5.27301446 1.135010347 1.662357 -0.43579 6.955773 160 4.887546 -0.17244 3.31675001 -5.55005505 1.745953644 -2.211551 0.175157 8.147312 180 5.49849 4.414691 3.927693307 -4.54672156 2.356896941 -4.550457 0.786101 4.403505 200 6.109433 8.151229 4.538636604 -2.20440475 2.967840238 -5.550921 1.397044 -0.18163 220 6.720376 6.947184 5.149579901 1.672894401 3.578783535 -5.270907 2.007987 -3.39856 240 7.33132 2.32475 5.760523198 6.39138272 4.189726832 -3.72418 2.61893 -5.13054 260 7.942263 -1.75387 6.371466495 8.331906054 4.800670129 -0.725693 3.229874 -5.59057 280 8.553206 -4.30635 6.982409792 5.088359447 5.411613426 3.720308 3.840817 -4.7649 300 9.164149 -5.48455 7.593353089 0.401346447 6.022556723 7.854371 4.45176 -2.63055 SÓNG TOCKES BẬC 5 10 8 6 4 2 neta 0 -2 0 50 100 150 200 250 300 350 -4 -6 -8 t=O t= T/4" x t=T/2 t=3T/4
  8. 8. VIII./ Vẽ Profil Sóng Theo Lý Thuyết Sóng Airy thông số sóng airy k ω H ɳ(x,t)=H/2*cosθ với θ =kx-ωt 0.032122453 0.523599 14 t=0 t=T/4 t=T/2 t=3T/4 X 0 3 6 9 θ ɳ θ ɳ θ ɳ θ ɳ 0 0 7 -1.57079633 0.0000000 -3.141593 -7 -4.71239 -1.28641E-15 20 0.642449 5.604415465 -0.92834726 4.1941063 -2.499144 -5.60442 -4.06994 -4.194106257 40 1.284898 1.974135059 -0.28589819 6.7158611 -1.856695 -1.97414 -3.42749 -6.715861134 60 1.927347 -2.443308878 0.356550882 6.5597440 -1.214245 2.443309 -2.78504 -6.559744029 80 2.569796 -5.886511648 0.998999951 3.7880048 -0.571796 5.886512 -2.14259 -3.788004833 100 3.212245 -6.982535955 1.641449021 -0.4941575 0.070653 6.982536 -1.50014 0.494157495 120 3.854694 -5.294354779 2.28389809 -4.5792802 0.713102 5.294355 -0.85769 4.579280236 140 4.497143 -1.495110845 2.92634716 -6.8384679 1.355551 1.495111 -0.21525 6.838467925 160 5.139593 2.900291253 3.568796229 -6.3708956 1.998 -2.90029 0.427204 6.370895592 180 5.782042 6.139235745 4.211245299 -3.3630023 2.640449 -6.13924 1.069653 3.363002299 200 6.424491 6.930230963 4.853694368 0.9858493 3.282898 -6.93023 1.712102 -0.98584928 220 7.06694 4.957876707 5.496143438 4.9416049 3.925347 -4.95788 2.354551 -4.941604856 240 7.709389 1.008626435 6.138592507 6.9269526 4.567796 -1.00863 2.997 -6.926952628 260 8.351838 -3.342801967 6.781041577 6.1502581 5.210245 3.342802 3.639449 -6.150258126 280 8.994287 -6.361326732 7.423490646 2.9212193 5.852694 6.361327 4.281898 -2.921219302 300 9.636736 -6.843346009 8.065939716 -1.4726219 6.495143 6.843346 4.924347 1.472621945 SÓNG AIRY 8 6
  9. 9. 4 2 0 -2 0 50 100 150 200 250 300 350 -4 -6 -8 t=0 t=T/4 t=T/2 t=3T/4 XI./ So Sánh Sóng airy Và Sóng Stockes Bậc 5 10 8 6 4 2 NETA 0 -2 0 50 100 150 200 250 300 350 -4 -6 -8 X sóng airy stocke bậc 5
  10. 10. nhận xét X. TÍNH VẬN TỐC, GIA TỐC CHUYỂN ĐỘNG CỦA PHẦN TỬ NƯỚC 10.1/ Tính hệ số G(n) BẢNG 3.4 d/L G11 G13 G15 G22 G24 G33 G35 G44 G55 0.2 1 -1.263 -2.266 0.326 0.68 -0.017 1.039 -0.044 0.006 0.25 1 -0.911 -1.415 0.154 0.673 -0.03 0.44 -0.005 0.005 nội suy ta có bảng sau : d/L G11 G13 G15 G22 G24 G33 G35 G44 G55 0.201762 1 -1.2506 -2.236012637 0.319939099 0.679753335 -0.017458 1.017893 -0.04263 0.005964762 a G1 G2 G3 G4 G5 Trong đó: 0.203659 0.192311 0.028879 0.000627473 -0.00029332 1.04491E-05 G1=a*G11+a^3*G13+a^5*G15 G2=2*(a^2*G22*a^4*G24) G3=3*(a^3*G33+a^5*G35) G4=4*a^4*G44 10.2./ Tính hệ số Un, Vn,Rn và Sn (n=1 ~5 ) G5=5*a^5*G55 Un=Gn*cosh(nkz)/sinh(nkd) Vn=Gn*sinh(nkz)/sinh(nkd) R1=2*U1-U1*U2-U2*U3-V1*V2-V2*V3 S1=2*V1-3*U1*V2-3*U2*V1-5*U2*V3-5*U3*V2 R2=4*U2-U1^2+V1^2-2*U1*U3-V1*V3 S2=4*V2-4*U1*V3-4*U3*V1 R3=6*U3-3*U1*U2+3*V1*V2-3*U1*U4-3*V1*V4 S3=6*V3-U1*V2+U2*V1-5*U1*V4-5*U4*V1
  11. 11. R4=8*U4-2*U2^2+2*V2^2-4*U1*U3+4*V1*V3 S4=8*V4-2*U1*V3+2*U3*V1+4*U2*V2 R5=10*U5-5*U1*U4-5*U2*U3+5*V1*V4+58V2*V3 S5=10*V5-3*U1*V4+3*U4*V1-U2*V3+U3*V2 z(m) U1 U2 U3 U4 U5 V1 V2 V3 V4 V5 -41.5000 0.225407 0.029244 0.000628 -0.000293344 1.04491E-05 -0.192311272 -0.028879 -0.00063 0.000293 -1.04491E-05 -31.9736 0.178262 0.016565 0.000263 -9.16239E-05 2.43891E-06 -0.133987652 -0.015912 -0.00026 9.15E-05 -2.43863E-06 -31.3819 0.175869 0.016001 0.000249 -8.52388E-05 2.22818E-06 -0.130787329 -0.015324 -0.00025 8.52E-05 -2.22788E-06 -23.5000 0.149196 0.010224 0.000122 -3.2626E-05 6.69002E-07 -0.091842379 -0.009129 -0.00012 3.24E-05 -6.67983E-07 -7.5000 0.120677 0.005097 3.49E-05 -5.34028E-06 6.3919E-08 -0.027173747 -0.002185 -2.1E-05 3.87E-06 -5.21748E-08 5.5000 0.119241 0.004867 3.16E-05 -4.54599E-06 5.07376E-08 0.019847214 0.001577 1.47E-05 -2.7E-06 3.47976E-08 8.3690 0.121441 0.00522 3.66E-05 -5.78183E-06 7.14283E-08 0.030387125 0.002458 2.36E-05 -4.5E-06 6.11438E-08 z (m ) R1 R2 R3 R4 R5 S1 S2 S3 S4 S5 -41.5000 0.438631 0.102747 0.001022 -0.002472792 0.000151819 -0.348039893 -0.115516 -0.00349 -0.00099 -0.000133389 -31.9736 0.35143 0.052308 -0.0008 -0.000822775 4.3744E-05 -0.252764485 -0.06365 -0.00109 -0.0003 -3.63694E-05 -31.3819 0.346912 0.050058 -0.00086 -0.000770079 4.0583E-05 -0.247172809 -0.061296 -0.00101 -0.00028 -3.36214E-05 -23.5000 0.296026 0.027026 -0.0013 -0.000332659 1.53238E-05 -0.176770056 -0.036517 -0.00033 -0.0001 -1.20995E-05 -7.5000 0.240679 0.006554 -0.00146 -9.97099E-05 2.67426E-06 -0.053140162 -0.008745 -2.7E-06 -1E-05 -1.45672E-06 5.5000 0.23787 0.005637 -0.00146 -9.26993E-05 2.29938E-06 0.038840004 0.006284 -1E-06 7.12E-06 1.00901E-06 8.3690 0.242173 0.007046 -0.00146 -0.000103595 2.88191E-06 0.059401631 0.009805 5.51E-06 1.22E-05 1.67494E-06 10.3./ Tính vận tốc truyền sóng C=sqrt(g/k*(1+a^2*C1+a^4*C2)tanh(k*d)) ω( rad ) a d (m ) k C1 C2 C (m ) 0.030547 0.203659 41.5 0.030547165 1.53772391 4.956151 17.14066 8.369048 10.4 Tính vận tốc ,gia tốc chuyển động của phần tử nước
  12. 12. T (s ) t=0 (s ) t=T/4 (s ) t=T/2 (s ) t=3T/4 (s ) 12 0 3 6 9 TỌA ĐỘ NÚT V( x ) tại các thời điểm V (z ) (m/s) tại các thời điểm NÚT t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/4 x y z 0 3 6 9 0 3 6 9 1 5.0000 -8.6603 -41.5000 0.120623 0.12195293 0.122143452 0.121192099 0 0 0 0 2 13.6603 -3.6603 -41.5000 0.11059 0.115075542 0.118502329 0.120830271 0 0 0 0 3 22.3205 1.3397 -41.5000 0.092227 0.099437414 0.105768919 0.111149707 0 0 0 0 4 1.0000 -1.7321 -41.5000 0.122143 0.12195293 0.120622792 0.118168785 0 0 0 0 5 0.0000 0.0000 -41.5000 0.122207 0.121635673 0.119928502 0.117105667 0 0 0 0 6 17.3205 10.0000 -41.5000 0.103761 0.109465803 0.114177584 0.117841243 0 0 0 0 7 -1.0000 1.7321 -41.5000 0.122143 0.121192099 0.119110142 0.115922176 0 0 0 0 8 -5.0000 8.6603 -41.5000 0.120623 0.118168786 0.114619859 0.110017643 0 0 0 0 9 3.6603 13.6603 -41.5000 0.121357 0.122179288 0.12185934 0.120400886 0 0 0 0 10 12.3205 18.6603 -41.5000 0.112721 0.116739385 0.119679673 0.121507234 0 0 0 0 11 12.5689 -2.9397 -31.9736 0.117572 0.121923159 0.125137026 0.127174123 0.014987 0.01158 0.008035 0.004395288 12 3.7386 12.3548 -31.9736 0.127091 0.127994674 0.127686936 0.12617134 0.004603 0.000912 -0.00279 -0.006458161 13 0.0000 0.0000 -31.3819 0.128786 0.128175394 0.126351206 0.123335719 0 -0.00394 -0.00783 -0.011624361 14 16.2446 9.3788 -31.3819 0.111394 0.11710829 0.121743255 0.125242993 0.020142 0.01675 0.013161 0.009416747 15 3.8949 -6.7462 -23.5000 0.142365 0.143482146 0.143199546 0.14152093 0.009533 0.002198 -0.00516 -0.012463634 16 11.5982 -2.2988 -23.5000 0.133236 0.137837459 0.141112677 0.143019141 0.027623 0.020763 0.013651 0.006371295 17 19.3014 2.1487 -23.5000 0.115803 0.123500694 0.130055464 0.135384339 0.043527 0.037674 0.031373 0.024694093 18 0.0000 0.0000 -23.5000 0.143545 0.142844259 0.140752625 0.137296931 0 -0.00735 -0.01462 -0.02169869 19 15.4065 8.8949 -23.5000 0.12558 0.131776836 0.136726034 0.140363475 0.035838 0.029417 0.02264 0.015587502 20 -3.8949 6.7462 -23.5000 0.142365 0.139862814 0.136008124 0.130850967 -0.009533 -0.01675 -0.02376 -0.030488481 21 3.8083 11.1937 -23.5000 0.142417 0.143493637 0.143170586 0.141451899 0.009322 0.001985 -0.00538 -0.012672542 22 11.5115 15.6412 -23.5000 0.133387 0.137950883 0.141187087 0.143053567 0.027429 0.020561 0.013443 0.006159471 23 2.9127 -5.0449 -7.5000 0.204734 0.205771164 0.204605763 0.201255622 0.016155 -0.00049 -0.01712 -0.033524546 24 9.7652 -1.0885 -7.5000 0.194246 0.200200653 0.204038503 0.205700354 0.053003 0.037177 0.020855 0.004252766 25 16.6178 2.8678 -7.5000 0.173244 0.183643811 0.192179154 0.198720302 0.086206 0.072267 0.057381 0.041734223 26 0.0000 0.0000 -7.5000 0.205772 0.204670737 0.201383633 0.195961385 0 -0.01664 -0.03305 -0.049024869 27 13.7051 7.9127 -7.5000 0.183367 0.191958286 0.198559054 0.20306805 0.072687 0.057826 0.042199 0.026008896
  13. 13. 28 -2.9127 5.0449 -7.5000 0.204734 0.201509831 0.196148724 0.188732773 -0.016155 -0.03258 -0.04857 -0.063910692 29 3.9399 9.0012 -7.5000 0.203874 0.205663866 0.205252393 0.202646211 0.021815 0.005223 -0.01144 -0.027946914 30 10.7925 12.9575 -7.5000 0.191736 0.198396031 0.202967063 0.205378594 0.05827 0.042663 0.026486 0.009955201 31 2.1146 -3.6625 5.5000 0.301459 0.302189231 0.299358193 0.29301392 0.020328 -0.00852 -0.03724 -0.065423003 32 8.2759 -0.1052 5.5000 0.28891 0.296849221 0.301318346 0.302240729 0.078184 0.050399 0.021876 -0.006968185 33 14.4373 3.4520 5.5000 0.26236 0.276938183 0.288386639 0.296509471 0.131252 0.106221 0.079649 0.051915867 34 0.0000 0.0000 5.5000 0.302345 0.300562537 0.295246572 0.286487669 0 -0.02881 -0.05719 -0.084733365 35 12.3228 7.1146 5.5000 0.272951 0.285345859 0.294467296 0.300159121 0.113786 0.08763 0.060199 0.031886607 36 -2.1146 3.6625 5.5000 0.301459 0.297178914 0.289423207 0.278324149 -0.020328 -0.04888 -0.07671 -0.103429731 37 4.0468 7.2198 5.5000 0.299106 0.30212741 0.301588652 0.297498532 0.038778 0.010073 -0.01878 -0.047357938 38 10.2082 10.7771 5.5000 0.28202 0.292125973 0.298842835 0.302055271 0.0955 0.068405 0.04031 0.011624815 39 1.9384 -3.3575 8.3690 0.33082 0.331405208 0.327995515 0.320650389 0.020973 -0.01149 -0.04379 -0.075430294 40 4.5795 -1.8326 8.3690 0.327006 0.331101045 0.331207124 0.327322159 0.049312 0.017096 -0.01538 -0.047618592 41 13.9561 3.5810 8.3690 0.289663 0.305461472 0.317715616 0.326212632 0.143154 0.114761 0.084668 0.053314343 42 1.2796 -2.2163 8.3690 0.331292 0.330997696 0.326716264 0.318521563 0.013853 -0.01862 -0.05081 -0.082244534 43 13.2973 4.7221 8.3690 0.293423 0.308464779 0.319909817 0.327559632 0.137085 0.108283 0.077875 0.04630537 44 -1.9384 3.3575 8.3690 0.33082 0.3262513 0.31777696 0.305544427 -0.020973 -0.05313 -0.08449 -0.11458841 45 0.7027 4.8823 8.3690 0.331546 0.330482708 0.325440869 0.316507867 0.00761 -0.02485 -0.05693 -0.088162859 46 10.0793 10.2959 8.3690 0.30942 0.32059558 0.327963619 0.331396779 0.106123 0.075614 0.043979 0.011685782 TỌA ĐỘ NÚT W( x ) (m/s2) tại các thời điểm W (z ) (m/s2) tại các thời điểm NÚT t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/4 x y z 0 3 6 9 0 3 6 9 1 5.0000 -8.6603 -41.5000 0.434263 0.174731542 -0.08743923 -0.348289245 -2.056114 -2.09368 -2.09908 -2.072164051 2 13.6603 -3.6603 -41.5000 1.133273 0.90297995 0.65903524 0.405128327 -1.780054 -1.90189 -1.9967 -2.061958398 3 22.3205 1.3397 -41.5000 1.691106 1.518586863 1.32326588 1.107989937 -1.307416 -1.48803 -1.65191 -1.795115696 4 1.0000 -1.7321 -41.5000 0.087439 -0.174731545 -0.43426289 -0.687232191 -2.099078 -2.09368 -2.05611 -1.98740527 5 0.0000 0.0000 -41.5000 0 -0.261730289 -0.51950663 -0.769431704 -2.10088 -2.0847 -2.0366 -1.957878624 6 17.3205 10.0000 -41.5000 1.390739 1.181774101 0.954960574 0.713710301 -1.599393 -1.74991 -1.8773 -1.978292849 7 -1.0000 1.7321 -41.5000 -0.08744 -0.348289243 -0.60387706 -0.850337239 -2.099078 -2.07216 -2.01367 -1.925178289 8 -5.0000 8.6603 -41.5000 -0.43426 -0.687232188 -0.92981265 -1.158336086 -2.056114 -1.98741 -1.8894 -1.76468578 9 3.6603 13.6603 -41.5000 0.31894 0.05774122 -0.20432928 -0.463313182 -2.076819 -2.10009 -2.09103 -2.049869072 10 12.3205 18.6603 -41.5000 1.032343 0.795510052 0.546649964 0.289528008 -1.837619 -1.94774 -2.02962 -2.081066416 11 12.5689 -2.9397 -31.9736 0.746982 0.578007265 0.401498287 0.219750999 -1.25914 -1.32802 -1.3795 -1.412395615
  14. 14. 12 3.7386 12.3548 -31.9736 0.23013 0.045612995 -0.13949969 -0.322791511 -1.411046 -1.4257 -1.42071 -1.396176358 13 0.0000 0.0000 -31.3819 0 -0.181202034 -0.36006331 -0.534274705 -1.390173 -1.38064 -1.35227 -1.305712699 14 16.2446 9.3788 -31.3819 0.922397 0.768470893 0.604651242 0.433032596 -1.125496 -1.2109 -1.2813 -1.335111583 15 3.8949 -6.7462 -23.5000 0.183576 0.042305301 -0.09943594 -0.240070004 -0.948717 -1.38932 -0.95606 -0.941303942 16 11.5982 -2.2988 -23.5000 0.533254 0.400344022 0.26297177 0.122670174 -0.869175 -1.31297 -0.93772 -0.95446991 17 19.3014 2.1487 -23.5000 0.843947 0.729115402 0.606160344 0.476447225 -0.721186 -1.12375 -0.84179 -0.887767355 18 0.0000 0.0000 -23.5000 0 -0.141575933 -0.28157535 -0.418437983 -0.959096 -1.38064 -0.93457 -0.904385621 19 15.4065 8.8949 -23.5000 0.693227 0.568108553 0.436656483 0.300337275 -0.803542 -1.23215 -0.89942 -0.931158036 20 -3.8949 6.7462 -23.5000 -0.18358 -0.322801329 -0.45843055 -0.588949585 -0.948717 -1.34025 -0.89318 -0.848622601 21 3.8083 11.1937 -23.5000 0.179517 0.038211487 -0.1035199 -0.24409862 -0.949172 -1.38948 -0.9558 -0.940698207 22 11.5115 15.6412 -23.5000 0.529493 0.396432249 0.258953724 0.118590653 -0.870479 -1.31449 -0.93838 -0.954772883 23 2.9127 -5.0449 -7.5000 0.0993 -0.002981539 -0.10523768 -0.206613282 -0.276205 -0.27777 -0.27601 -0.270961302 24 9.7652 -1.0885 -7.5000 0.32844 0.229310387 0.128252245 0.026120249 -0.260421 -0.26937 -0.27516 -0.27766358 25 16.6178 2.8678 -7.5000 0.543075 0.451542251 0.356140425 0.257715136 -0.229064 -0.24455 -0.25732 -0.26714486 26 0.0000 0.0000 -7.5000 0 -0.102268962 -0.20368229 -0.30338471 -0.277772 -0.27611 -0.27115 -0.262997301 27 13.7051 7.9127 -7.5000 0.454266 0.358964739 0.260615455 0.160069715 -0.244136 -0.25699 -0.2669 -0.273692512 28 -2.9127 5.0449 -7.5000 -0.0993 -0.200749842 -0.30051415 -0.397738658 -0.276205 -0.27134 -0.26328 -0.252157435 29 3.9399 9.0012 -7.5000 0.134174 0.032081316 -0.07027969 -0.172053123 -0.274908 -0.27761 -0.27699 -0.273056608 30 10.7925 12.9575 -7.5000 0.361786 0.263513912 0.163020048 0.061159441 -0.256656 -0.26666 -0.27354 -0.277177898 31 2.1146 -3.6625 5.5000 0.070799 -0.029662537 -0.12988134 -0.229035246 0.201924 0.202419 0.200503 0.196212332 32 8.2759 -0.1052 5.5000 0.274403 0.17602179 0.076194308 -0.024256884 0.193439 0.198806 0.201829 0.202453642 33 14.4373 3.4520 5.5000 0.468439 0.375605871 0.279638719 0.181358527 0.175528 0.185356 0.193085 0.198575937 34 0.0000 0.0000 5.5000 0 -0.100375931 -0.19992969 -0.297838727 0.202524 0.201318 0.197722 0.191802294 35 12.3228 7.1146 5.5000 0.403368 0.308240625 0.210557574 0.111141277 0.182666 0.191031 0.197195 0.201044905 36 -2.1146 3.6625 5.5000 -0.0708 -0.170680867 -0.26916092 -0.365416404 0.201924 0.199029 0.193785 0.186290941 37 4.0468 7.2198 5.5000 0.13525 0.035067489 -0.06540182 -0.165335887 0.200332 0.202377 0.202012 0.199244913 38 10.2082 10.7771 5.5000 0.33662 0.239605636 0.140615322 0.04047161 0.188785 0.195612 0.200154 0.202328116 39 1.9384 -3.3575 8.3690 0.066788 -0.03659139 -0.13966163 -0.241549336 0.309866 0.31041 0.307237 0.300406553 40 4.5795 -1.8326 8.3690 0.157361 0.054432947 -0.04895546 -0.151930219 0.306317 0.310127 0.310226 0.306610953 41 13.9561 3.5810 8.3690 0.466495 0.370624311 0.271572445 0.170206266 0.271647 0.286298 0.297679 0.305578824 42 1.2796 -2.2163 8.3690 0.044102 -0.059284087 -0.16216945 -0.263680569 0.310305 0.310031 0.306047 0.298427829 43 13.2973 4.7221 8.3690 0.445756 0.349113558 0.249478912 0.147721103 0.275132 0.289086 0.299718 0.306831878 44 -1.9384 3.3575 8.3690 -0.06679 -0.16960291 -0.27098016 -0.370048237 0.309866 0.305615 0.297736 0.286375374 45 0.7027 4.8823 8.3690 0.024223 -0.079134972 -0.18182386 -0.282970697 0.310541 0.309552 0.304861 0.29655654 46 10.0793 10.2959 8.3690 0.341964 0.242145387 0.140267253 0.037201427 0.289973 0.300356 0.307208 0.310402482

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