Ракетный блок. YZ-1. [Редактировать]

YZ1 (Yuanzheng-1 или Expedition-1) -верхняя ступень ракеты-носителя которая функционирует шесть с половиной часов. Ее отличительной особенностью является возможность многократного включения. В качестве топлива ступень использует несимметричный диметилгидразин как топливо и тетраоксид диазота как окислитель. Двигательная установка ступени выдает тягу 663 кгс. Удельный импульс 315 сек.

Отличительной особенность модификаций YZ-1A/2 является возможность многократного включения.

Дополнительные наименования

#НаименованияПоиск в новостяхПоиск в документах
1YZ-1AНайтиНайти
2YZ-2НайтиНайти

Технические характеристики

#ХарактеристикаЗначение
1Тяга, кгс663
2Удельный импульс, с315

Найдено 1000 документов по запросу «YZ-1». [Перейти к поиску]


Дата загрузки: 2017-04-08
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0.1/5
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Дата загрузки: 2017-04-09
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0.18/5
...: a. xyz + (xyz)' Ans. a. x 0 0 0 0 1 1 1 1 b. x(yz'+x'y) b. y 0 0 1 1 0 0 1 1 z 0 1 0 1 0 1 0 1 xyz 0 0 0 0 0 0 0 1 (xyz)' 1 1 1 1 1 1 1 0 xyz + (xyz)' 1 1 1 1 1 1 1 1 x 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 z 0 1 0 1 0 1 0 1 yz' 0 0 1 0 0 0 1 0 x'y 0 0 1 1 0 0 0 0 (yz' + x'y) 0 0 1 1 0 0 1 0 x(yz '+ x'y) 0 0 0 0 0 0 1 0 ______________________________________________________________________________ Page 2 Last... for the following: x 0 0 0 0 1 1 1 1 a. xyz + x(yz)' + (xyz)' Ans. a. y z xyz x(yz)' (xyz)' 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 b. (x+y)(x+z)(x'+z) Sum 1 1 1 1 1 1 1 1 b. x 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 z 0 1 0 1 0 1 0 1 x+y 0 0 1 1 1 1 1 1 x+z 0 1 0 1 1 1 1 1 x' + z 1 1 1 1 0 1 0 1 (x + y)(x + z)(x' + z) 1 1 1 1 0 1 0 1 ______________________________________________________________________________... the complement of F if F(x,y,z) = x(y' + z). Ans. F(x,y,z) = x(y' + z) F'(x,y,z) = (x(y' + z))' = x'+(y' + z)' = x' + yz' ______________________________________________________________________________ 4. Using DeMorgan's Law, write... of F if F(x,y,z) = xy + x'z + yz'. Ans. F(x,y,z) = xy + x'z + yz' F'(x,y,x) = (xy + x'z + yz')' = (xy)'(x'z)'(yz')' = (x' + y')(x + z')(y' + z) (not simplified) ______________________________________________________________________________... of F if F(w,x,y,z) = xyz' (y'z + x)' + (w'yz + x' ). Ans. F(w,x,y,z) = xyz'(y'z + x)'+(w'yz + x) F'(w,x,y,z) = (xyz'(y'z + x)'+(w'yz + x))' = (xyz')'+((y'z + x)')'(w'yz + x)' = (xyz')'+((y'z + x)(w'yz + x')') = x'+y'+z+((y'z + x)((w'yz)'x'') = x'+y'+z+((y'z + x)((w+y' + z')x)) ______________________________________________________________________________ 6. a. Use... step. a. x'yz + xz b. (x + y)'(x' + y')' c. (x'y''z)' Ans. a. x'yz + xz = x'yz + xz(1) Identity = x'yz + xz(y + y') Inverse = x'yz + xyz + xy'z Distributive and Commutative = x'yz... + xy'z) Associative = (x' + x)yz + (y + y')xz Distributive (two applications) = (1)(yz) + (1)xz Inverse = yz + xz Identity...' b. x'yz + xz c. wx + w(xy + yz') Ans. a. xy + x'y b. x'yz + xz = = = = = = = = = = = = x(y + y') Distributive x(1) Inverse x Identity x'yz + xz(1) x'yz + xz(y + y') x'yz + xzy + xzy' x'yz + (xzy + xzy) + xzy' (x'yz + xzy) + (xzy + xzy') (x'yz + xyz) + (xyz + xy'z) (x' + x)yz + xz(y + y') (1)yz + xz(1) yz + xz.... yz + xyz' + x' y' z = xy + x' z Ans. Using identities: yz + xyz' + x'y'z = = = = = Using truth tables: x 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 z 0 1 0 1 0 1 0 1 yz 0 0 0 1 0 0 0 1 (x +x')yz + xyz' + x'y'z xyz + x'yz + xyz' + x'y'z (x'y'z + x'yz) + (xyz + xyz') x'z(y' + y) + xy (z + z') x'z + xy xyz' 0 0 0 0 0 0 1 0 x'y'z 0 1 0 0 0 0 0 0 yz + xyz... + x' z Ans. xy + x'z + yz = xy + x'z + (1)yz = xy + x'z + (x + x')yz = xy + x'z + xyz + x'yz = (xy + xyz) + (x'z + x'yz) = xy(1 + z)+x'z(1 + y) = xy... simplifies to: a = x b = x'yz + xy'z + xyz' + xyz = yz + xz + xy c = x'yz' + xy'z' + xyz' + xyz... 1 10 1 1 1 0 0 0 0 00 1 01 1 11 1 10 0 1 1 1 1 1 YZ X c. YZ X Ans. a. x'z + xz' b. x'z + x'y + xy'z' c. x + y' + z ______________________________________________________________________________ 2. Create... following functions: a. F(x,y,z) = x'y'z' + x'yz + x'yz' b. F(x,y,z) = x'y'z' + x'yz' + xy'z' + xyz' c. F(x,y,z) = y'z' + y'z + xyz' Ans. a. x'y'z' + x'yz + x'yz' Simplifies to: x'y + x'z' b. x'y'z' + x'yz' + xy'z' + xyz' Simplifies to: z' YZ X 0 00 1 01... 1 1 1 1 1 1 1 1 01 11 1 10 1 1 1 Ans. w'x' + wx + w'y + yz' + x'z' c. YZ WX 00 01 00 1 01...: a. F(w,x,y.z) = w'x'y'z' + w'x'yz' + w'xy'z + w'xyz + w'xyz' + wx'y'z' + wx'yz' b. F(w,x,y,z) = w'x'y'z' + w'x'y'z + wx'y'z + wx'yz' + wx'y'z' c. F(w,x,y,z) = y'z + wy' + w'xy + w'x'yz' + wx'yz' Ans. a. w'xz + w'xy + x'y'z' + x'yz b. x'y' + wx'z' YZ YZ... reduce to 1 term. X Ans. x'y'z+x'yz+xy'z+xyz = = = = YZ 00 0 0 01 1 11 1 10... defined by the following K-map: YZ YZ 00 01 11 10 00... F'. Ans. w 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 a. x 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 z 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 F 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 b. F = x'z' + w'xz + w'xy OR x'z' + w'xz + w'yz' c. To find F', circle the zeros...



Дата загрузки: 2017-06-16
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0.03/5
... 50 U / W 50 cc - YZ 50 / YZ 50 H 50 cc - YZ 50 Z 50 cc... - YB 60 60 cc - YZ 60 H / J 60 cc - YZ 60 K / L 65 cc... cc - YSR 80 80 cc - YZ 80 84 > 85 80 cc... > 99 80 cc - YZ 80 00 > 80 cc - YZ 80 (L=12.7MM THREAD) > 84 80 cc - YZ 80 (L=19.0MM THREAD) > 84 80 cc - YZ 80 B 80 cc - YZ 80 C / D / E > 92 80 cc - YZ 80 E / F / LC / LW / LWF 93 > 96 80 cc - YZ 80 H / LR > 83 80 cc - YZ 80 J 80 cc - YZ 80 K / L / N / T / U / W 80 cc - YZ 80 LC... 80 94 > 02 > 85 cc - YZ 85 90 cc - AY 90... 97 > 100 cc - YZ 100 82 > 100 cc - YZ 100 / YZ 100 / E / H / J 110... cc - YS 125 125 cc - YZ 125 .. / 4PE / 4SS 85 > 97 125 cc - YZ 125 4XM1 97 > 125 cc - YZ 125 E / E1 / F 93 > 125 cc - ... cc - YT 175 J / K / L 175 cc - YZ 175 180 cc - DT 180... - YTZ 250 LC / N 250 cc - YZ 250 (LC) 89 > 94 250 cc - YZ 250 (LC) 4MX / 4SR / 4XL 95 > 250 cc - YZ 250 E / H / J / K / L 250 cc - YZ 250 F 01 > 8> 250 cc - YZ 250 N / T 82 > 83 250 cc - YZ 250 U / W 250 cc - YZ 250 WR / WRW 250... 1V4 77 > 79 360 cc - YZ 360 400 cc - DT 400... 25 04 > 400 cc - YZ 400 / YZ 400 F / YZ 400 FF 40 98 > 400 cc - YZ 400 C / E 425 cc - IT 425 426 cc - YZ 426 98 > 450 cc - WR... cc - YZ 450 / YZ 450 F 02 > 03 450 cc - YZ 450 / YZ 450 F / YZ 450 FS 04 > 450 cc - YZ 450 F 08... cc - IT 465 H / J 465 cc - YZ 465 H 490 cc - IT 490... cc - IT 490 490 cc - YZ 490 85 > 87 490 cc - YZ 490 88 > 490 cc - YZ 490 > 84 490 cc - YZ 490 J 490 cc - YZ 490 K / L / N / S / T 500 cc - FZ... 4158 0,7 IU24A YAMAHA 80 cc YZ 80 E / SK IW31 85 cc YZ 85 (Fast driving = option) 0,6 IW31 85 cc YZ 85 (Standard) 0,6 IW27 100 cc...



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Yz 250 Engine Rebuild Manual 2004 Yamaha Yz 250 F Manual | Motorcycles Repair 2004 yamaha yz 250 f manual. You search Auto repair manual PDF 2004 yamaha yz 250 f manual, if there are search results will appear below. If search results do not http://autorepairmagz.com/search/2004+yamaha+yz+250+f+manual Two-Stroke Rebuild - Dirt Rider Magazine For this YZ250 two-stroke motor it was the crank after 250 Here is a look at our rebuild of the engine. We highly suggest having a service manual by your side http://www.dirtrider.com/features/two-stroke-rebuild/ Yamaha YZ125 YZ250 YZ490 Service Repair Manual Clymer motorcycle repair manuals are written specifically for the CHAPTER FOUR / ENGINE 1985 1986 1987 Yamaha YZ125 YZ 125 1985 1986 1987 Yamaha YZ250 YZ 250 http://www.clymer.com/clymer-manuals-yamaha-yz125-yz250-1985-1987-andyz490-1985-1990-m390 Yamaha YZ 250 Manual - YouTube Nov 12, 2011 Download: Yamaha YZ 250 (YZ250FR) owner's service manual. First edition July 2002. http://www.youtube.com/watch?v=DLAefaCF2UE YZ250 Engine rebuild - All Things Moto! Web Forums YZ250 Engine rebuild User them in right is all and do u have a manual by any chance if not i would recomend gettin 250 engine rebuild: Dirtgood1: http://www.allthingsmoto.com/forums/f-30/yz250-engine-rebuild-40452/ Yz250f Engine Rebuild Manual - eBooks Free Yz250f Engine Rebuild Manual Yz250f Pdf Service Manual 2001 | File Direct source description: 2001 Yamaha YZ250F(N)/LC Service Repair Manual DOWNLOAD 01 This http://pdf240.austrianworldmusic.com/yz250f-engine-rebuild-manual-wnpllwm.pdf Yz 250 Repair Manual Yz 250 Repair Manual Yamaha YZ250F YZ 250F Four Stroke Manual Download 93 dodge caravan engine manual.pdf Download Study guide light vocabulary review.pdf http://pdf500.sildenafilhub.com/yz-250-repair-manual-eiibqzl.pdf Yamaha Yz 250 Engine Diagrams - Manuals Online Wiring Diagrams. Gearbox. Exhaust System. Ktm 250 Sx Engine 2003 Service Repair Manual Yamaha Xv-250 Virago 1988-2009 Service Repair Manual http://www.isi-initiative.org/?s=216747 How To Make Yamaha YZ 250 Two Stroke Better Modifications How To Make A Yamaha YZ 250 Two Stroke Even Better with these modifications. Engine: Modified top end via Prolonging Resole Repair; Comments (8) andre Smith http://www.chronicmx.com/yamaha-yz-250-stroke/ YZ 250 Shock Rebuild - All Things Moto! YZ 250 Shock Rebuild Manual but there were no instructions on how to rebuild the shock. My CR250 manual showed step by step Engine Optimization http://www.allthingsmoto.com/forums/f-157/yz-250-shock-rebuild-44780/ Free manuals for Yamaha YZ 250 Service Manual This is a COMPLETE Service & Repair Manual for Yamaha YZ 250 Service Manual Download. Vehicle Care, Service and Maintenance,Engine Control System ,and more http://www.free-auto-manuals.com/?p=49094 How do I rebuild the engine? -1993 YZ 250 - Yamaha How do I rebuild the engine? -1993 YZ 250 The best thing to do is buy a manual for the bike it will give step by step procedure's on maintenence and part diagrams. http://www.thumpertalk.com/topic/457254-how-do-i-rebuild-the-engine-1993-yz-250/ 2001 Yz 250 Engine Assembly Diagram | Tricia Joy Tricia Joy. Register; yz 250 engine free PDF ebook downloads. eBooks and manuals for 2004-2005 Yamaha YZ 250 Manual download (Service, Repair Maintenance) http://www.triciajoy.com/subject/2001+yz+250+engine+assembly+diagram/ Yamaha YZ250 Repair and Service Manual 1998 YZ 250 Service and repair manual download: Yamaha YZ250 Repair and Service Manual 1998 YZ 250. Liquid-Cooled V-Twin Gasoline Engine Service Repair Manual. http://www.repairloader.com/manual.php/be07c7f Yamaha Yz250 Yz 250 Two Stroke Manual Yamaha Yz250 Yz 250 Two Stroke Manual Service Repair - Bank News cooled two-stroke reed-valved engine YZ-250 Service Manual YZ250 . http://time53.netidme-openid.com/reaches/yamaha-yz250-yz-250-two-stroke-manualxxaotwx.pdf Related PDF manuals Download: Download Physics 9th edition laboratory manual by cutnell.pdf Download Australian master human resources guide 9th.pdf Download 94 ford e350 service manual.pdf Download 1992 charade service manual.pdf Download 87 camaro manuals.pdf Download Bk 4011 function generator manual.pdf Download Century 21 accounting study guide 5.pdf Download Solutions manual shapiro 5.pdf Download Ford fiesta owners manual 2007.pdf Download Gardner 6lxct workshop manual.pdf More manual PDF Files: Download 99 mazda b2600i service manual.pdf Download Notifier slc wiring manual.pdf Download Basics of biopsychology pinel study guide.pdf Download Sorvall centrifuge rc 3 repair manual.pdf Download Case 580 super r service manual.pdf Download Cam robotics mechanical engineering lab manual.pdf Download 2012 kia optima owners manual.pdf Download Bearcat ubc180xlt scanner manual.pdf Download Comp air l22 program manual.pdf Download Study guide for capm.pdf More PDF files: pdf442.sivoh.com, sitemap, pdf manuals 4, pdf manuals 17, pdf manuals 54, pdf manuals 55, pdf manuals 82



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....4495 ZY= 0.2071 XZ= -9.8898 YZ= -0.4963 ZZ= 155.4276 Eigenvalues....8298 ZY= -1.3604 XZ= 0.3249 YZ= 1.1424 ZZ= 26.6052 Eigenvalues....1773 ZY= -1.5352 XZ= 4.0116 YZ= -1.4000 ZZ= 32.5064 Eigenvalues....3139 ZY= 2.1415 XZ= 1.5736 YZ= -0.1614 ZZ= 34.6679 Eigenvalues....1929 ZY= -0.3728 XZ= -6.1452 YZ= -1.2981 ZZ= 33.0399 Eigenvalues....3459 ZY= 0.0170 XZ= -2.1203 YZ= -0.4623 ZZ= 31.5277 Eigenvalues....1114 ZY= -2.2938 XZ= -0.4032 YZ= -0.6052 ZZ= 25.1295 Eigenvalues....6393 ZY= -0.2740 XZ= 3.0241 YZ= 0.6459 ZZ= 30.7101 Eigenvalues....6157 ZY= 3.5077 XZ= -0.8444 YZ= 1.1324 ZZ= 35.1325 Eigenvalues....6197 ZY= 1.2892 XZ= -2.5079 YZ= -1.3089 ZZ= 28.2438 Eigenvalues....3420 ZY= 1.9800 XZ= 2.8155 YZ= -0.0473 ZZ= 29.0695 Eigenvalues....4836 ZY= -5.0437 XZ= -2.2424 YZ= -1.2357 ZZ= 161.2695 Eigenvalues....2308 ZY= -6.2639 XZ= 0.2971 YZ= -4.6800 ZZ= 30.6895 Eigenvalues....4818 ZY= -1.0118 XZ= -4.4997 YZ= -0.0381 ZZ= 26.4866 Eigenvalues....4947 ZY= 3.0467 XZ= 1.8405 YZ= 8.7784 ZZ= 132.4244 Eigenvalues....5522 ZY= -1.7220 XZ= -1.3138 YZ= -1.5980 ZZ= 27.1093 Eigenvalues....5159 ZY= 1.2745 XZ= 2.8847 YZ= -1.9943 ZZ= 30.2599 Eigenvalues....4522 ZY= -3.0669 XZ= 1.2051 YZ= -0.3230 ZZ= 23.4393 Eigenvalues....2634 ZY= -2.4540 XZ= 2.3746 YZ= -1.8806 ZZ= 30.3621 Eigenvalues....0039 ZY= -3.6162 XZ= 6.4062 YZ= -0.6805 ZZ= 24.4794 Eigenvalues....0565 ZY= -2.3856 XZ= -3.2801 YZ= -1.8128 ZZ= 27.9493 Eigenvalues....5923 ZY= 0.2436 XZ= -6.2470 YZ= -1.4840 ZZ= 20.3511 Eigenvalues....3408 ZY= -0.9338 XZ= -0.9163 YZ= 0.0176 ZZ= 24.0682 Eigenvalues....8653 ZY= -0.7445 XZ= -0.6717 YZ= 0.0657 ZZ= 23.4657 Eigenvalues....4835 ZY= -8.3352 XZ= -3.3851 YZ= -3.1579 ZZ= 164.5610 Eigenvalues....7740 ZY= -5.8991 XZ= 0.2626 YZ= -5.9916 ZZ= 27.8254 Eigenvalues....6335 ZY= -2.4098 XZ= -5.5407 YZ= -1.5741 ZZ= 166.1813 Eigenvalues....3040 ZY= -1.8443 XZ= -1.6933 YZ= -1.7230 ZZ= 25.8721 Eigenvalues....7220 ZY= -4.6457 XZ= 3.8739 YZ= -3.6159 ZZ= 27.0026 Eigenvalues....1882 ZY= -0.0413 XZ= 1.9151 YZ= -0.3006 ZZ= 25.7408 Eigenvalues....9200 ZY= -1.2260 XZ= -0.0838 YZ= -3.1664 ZZ= 29.2107 Eigenvalues....1736 ZY= -2.2389 XZ= 4.9467 YZ= -1.2470 ZZ= 33.8546 Eigenvalues....1843 ZY= -8.0662 XZ= 5.1455 YZ= -8.5410 ZZ= 179.3961 Eigenvalues....7773 ZY= -2.2115 XZ= 1.1623 YZ= -2.8622 ZZ= 28.9132 Eigenvalues....0989 ZY= -3.3661 XZ= 3.0735 YZ= -0.7116 ZZ= 25.1592 Eigenvalues....9498 ZY= 0.4704 XZ= -1.5739 YZ= -0.2091 ZZ= 27.7247 Eigenvalues....8274 ZY= -5.6984 XZ= -3.3000 YZ= -4.8644 ZZ= 31.0898 Eigenvalues....0000 ZY= 0.2052 XZ= 3.8589 YZ= -3.6586 ZZ= 161.4912 Eigenvalues....5731 ZY= -1.7932 XZ= -3.4721 YZ= -4.0604 ZZ= 30.4254 Eigenvalues....5222 ZY= -2.0159 XZ= -3.5568 YZ= -2.0862 ZZ= 32.3739 Eigenvalues....8610 ZY= -0.4054 XZ= 0.1437 YZ= -0.5683 ZZ= 26.6111 Eigenvalues....2920 ZY= -0.8762 XZ= -3.7567 YZ= 0.4218 ZZ= 26.2209 Eigenvalues....3853 ZY= 1.5314 XZ= -2.8197 YZ= -5.5446 ZZ= 338.8225 Eigenvalues....6174 ZY= 2.3744 XZ= -8.6809 YZ= 2.3145 ZZ= 153.0812 Eigenvalues....6669 ZY= -2.1914 XZ= -0.2006 YZ= -3.9007 ZZ= 27.0743 Eigenvalues....2526 ZY= -1.3908 XZ= 0.4651 YZ= -2.8392 ZZ= 25.3288 Eigenvalues....8933 ZY= -1.3532 XZ= 4.2532 YZ= -1.9882 ZZ= 32.0924 Eigenvalues....5708 ZY= 2.8713 XZ= -0.6616 YZ= -3.8675 ZZ= 148.1409 Eigenvalues....5266 ZY= -0.5850 XZ= -3.8028 YZ= 1.7883 ZZ= 25.7619 Eigenvalues....5558 ZY= 0.7764 XZ= -0.4277 YZ= -0.9508 ZZ= 26.2180 Eigenvalues....7178 ZY= -2.6547 XZ= -4.5114 YZ= -3.7769 ZZ= 27.6721 Eigenvalues....0741 ZY= -3.0160 XZ= 3.8433 YZ= -4.7833 ZZ= 31.3111 Eigenvalues....8176 ZY= -9.5213 XZ= 2.5049 YZ= -6.7045 ZZ= 149.0434 Eigenvalues....4105 ZY= -0.1789 XZ= 1.4778 YZ= -3.7042 ZZ= 24.5380 Eigenvalues....1701 ZY= -2.8142 XZ= 2.5812 YZ= -6.4218 ZZ= 26.7980 Eigenvalues....9076 ZY= -4.5118 XZ= 3.3584 YZ= -0.3306 ZZ= 29.0046 Eigenvalues....4406 ZY= -0.5120 XZ= -3.9785 YZ= -1.0537 ZZ= 32.2639 Eigenvalues....1766 ZY= -0.0123 XZ= -8.1749 YZ= -0.6822 ZZ= 29.0632 Eigenvalues....7413 ZY= -1.5103 XZ= -1.7650 YZ= -1.9775 ZZ= 25.9768 Eigenvalues....7904 ZY= -2.4829 XZ= -1.3492 YZ= -2.3950 ZZ= 25.4183 Eigenvalues....3153 ZY= -0.2585 XZ= -4.8272 YZ= -2.5860 ZZ= 29.4339 Eigenvalues....9239 ZY= -0.1129 XZ= 0.9229 YZ= -2.6795 ZZ= 30.8503 Eigenvalues....8757 ZY= 8.1536 XZ= -9.7582 YZ= 8.0591 ZZ= 167.1292 Eigenvalues....2884 ZY= -0.6421 XZ= -0.9783 YZ= -1.5641 ZZ= 25.3580 Eigenvalues....1507 ZY= -2.4729 XZ= -1.0801 YZ= -1.5692 ZZ= 27.5017 Eigenvalues....6910 ZY= -0.9583 XZ= 2.3208 YZ= -0.4910 ZZ= 27.0591 Eigenvalues....2337 ZY= -0.7407 XZ= -2.2060 YZ= -2.7300 ZZ= 160.1628 Eigenvalues....6862 ZY= -0.4826 XZ= -1.4016 YZ= 0.0343 ZZ= 31.4850 Eigenvalues....4220 ZY= -2.7051 XZ= 4.9847 YZ= -1.0328 ZZ= 29.2726 Eigenvalues....5496 ZY= -6.4556 XZ= -8.6620 YZ= -4.2513 ZZ= 45.6458 Eigenvalues....2371 ZY= -0.1086 XZ= -1.7628 YZ= 0.7717 ZZ= 27.7231 Eigenvalues....2535 ZY= -0.5308 XZ= -1.0540 YZ= -0.1056 ZZ= 28.7884 Eigenvalues....2881 ZY= -4.2668 XZ= 1.0061 YZ= -3.3157 ZZ= 29.2164 Eigenvalues....9188 ZY= 0.6008 XZ= -0.8555 YZ= 1.2978 ZZ= 158.5168 Eigenvalues....4487 ZY= -3.4395 XZ= -1.2258 YZ= -0.7353 ZZ= 29.8873 Eigenvalues....8731 ZY= -5.2416 XZ= -9.5923 YZ= -6.1786 ZZ= 162.5560 Eigenvalues....9312 ZY= -3.1384 XZ= -1.5521 YZ= -4.1339 ZZ= 32.8823 Eigenvalues....6261 ZY= -0.4491 XZ= -1.8377 YZ= -0.2847 ZZ= 26.9516 Eigenvalues...



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...    0 x y z τ xy x   y y  τ yz z τ zx τ yz  z    0. x y z  0 (1) 2. Обобщенные уравнения равновесия  2 xy x 2   2 xy y 2  2 yz  2 yz   xy    yz  2 2  ,  2k1 1     2k...  k . 2 x 2 2 (3) 4. Уравнения связи  x   y x  y  y   z  y  z  z   x z  x   F1 ,   F2 ,   F3 . 2 yz  yz 2 xy  xy 2 zx  zx (4) 5. Уравнения... деформаций 2  2 х   y 2    xy , y 2 x 2 yx    yz  zx  xy    z  x y z  2 y  2 z 2  2   yz , z 2 y zy   2 z   2  , xy   2 z  2 x 2  2   zx , x 2 z xy (5)  2 x    zx  xy  yz     2    , x  y z x  yz  2 y    xy  yz  zx     2    . y  z x y  zx 6. Граничные... (2) являются дифференциальные уравнения вида  2 xy x 2  2 yz y 2    2 xy y 2  2 yz z 2   2 yz zx   2 zx 2  x   y ,  zy xy 2  2 zx   xy 2  y   z ,    xy xz yz (7) 2 2  2 zx  2 zx   xy   yz 2  z   x  .     z 2 x 2 zx zy zx Однако при такой постановке и решении..., имеем  xy  f x, y   k1  Sin A11  ,  yz  f  y, z   k2  Sin A2 2 ,  zx  f z, x   k3...  F2 , (9) получим  2 xy x 2   2 xy y 2  2 yz  2 yz  2  2   xy F1 ,   2   yz F2 , xy y 2 z 2 yz  2 zx  2 zx 2   2  zx... случае рассматривается задача в плоскостях XY , YZ , ZX . Отсюда система (10) эквивалентна... [2, с.568]:  xy  k1  Sin A11  ,  yz  k2  Sin A2 2  ,  zx  k3...  1 y   Α11xx  Α11 yy  2  1xy ; –  2 yy   2 y  Α2 2 z 2   2 zz   2 z  Α2 2 y 2  2  Α2 2 yz , второе уравнение (12) 2   2 y  Α2  2 z   Α2  2 y   2 z   Α2  2 yy  Α2  2 zz  2   2 yz ; – 3 zz  3 z  Α33 x 2  3 xx  3 x  Α33 z 2  2  Α33 zx , третье уравнение 2   3 z  Α2  3 x    Α3 3 z  3 x   Α3 3 ... dx  f  y, z   C ,  y    xy dy   yz dy  f  x, z   C , z x z  z     zx dz   yz dz  f  x, y   C . x y С учетом девиаторной составляющей...  2  Cos A2  2    0  C ,  xy  С 1  exp 1  SinA11 ,  yz  С 2  exp  2  SinA2  2 ,  zx  С 3  exp  3  SinA3...  ctgВ2 2 , F3  ctgВ33 , xy  2   x  tgB11 ,  yz  2   y  tgB2  2 , zx  2   z  tgB3 3 . Вісник Запор...  B22 zz   SinB22  2  B2 2 yz  CosB2 2  2  2yz  SinB2 2 , - третье уравнение 3zz  3z  B3...  2  CosB2 2 , xy  2  С 1  exp 1  SinB11 ,  yz  2  С 2  exp  2  SinB2  2 , zx  2  С 3  exp  3  SinB3... определяется касательными контактными напряжениями  xz и  yz в зонах перехода. В угловых зонах они...



Дата загрузки: 2017-04-08
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.... 15. 17. x x x x •1=x •0=0 •x=x • x’ = 0 xy = yx x(yz) = (xy)z x + yz = (x + y)(x + z) (xy)’ = x’ + y’ Commutative Associative Distributive DeMorgan.... 15. 17. x x x x •1=x •0=0 •x=x • x’ = 0 xy = yx x(yz) = (xy)z x + yz = (x + y)(x + z) (xy)’ = x’ + y’ Commutative Associative Distributive DeMorgan... lines below (where y = x’) x y x+y 0 0 0 0 1 1 1 0 1 1 1 1 11 Is X+YZ = (X+Y)(X+Z)? X Y Z X+Y X+Z YZ X+YZ (X+Y)(X+Z) 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 12 DeMorgan’s Theorem • We can... simplifications x’y’ + xyz + x’y = x’(y’ + y) + xyz = x’•1 + xyz = x’ + xyz = (x’ + x)(x’ + yz) = 1 • (x’ + yz) = x’ + yz 1. 3. 5. 7. 9. 10. 12. 14. 16. x+0=x x+1=1 x+x=x x + x’ = 1 (x’)’ = x x+y=y+x x + (y + z) = (x + y) + z x(y + z) = xy.... 15. 17. x x x x •1=x •0=0 •x=x • x’ = 0 xy = yx x(yz) = (xy)z x + yz = (x + y)(x + z) (xy)’ = x’ + y’ Commutative Associative Distributive DeMorgan... second form 15 Another Example F= X’YZ+ X’YZ’+XZ = X’Y(Z+Z’)+XZ (14) = X’Y . 1 + XZ (7) = X’Y+ XZ...’ = x x + x’y = x + y 4. 5. 6. x(x + y) = x (x + y)(x + y’) = x x(x’ + y) = xy 17 Consensus Theorem • XY + X’Z + YZ = XY + X’Z or its dual (X+Y)(X’+Z)(Y+Z) = (X+Y)(X’+Z) • The... the theorem: XY + X’Z + YZ = XY + X’Z + YZ(X + X’) = XY + X’Z + XYZ + X’YZ = XY + XYZ + X’Z + X’YZ = XY(1 + Z) + X’Z(1 + Y) = XY... keep “pushing” the complements inwards f(x,y,z) = x(y’z’ + yz) f’(x,y,z) = ( x(y’z’ + yz) )’ = x’ + (y’z’ + yz)’ = x’ + (y’z’)’ (yz)’ = x’ + (y + z)(y’ + z’) • [ complement both sides ] [ because (xy... then complement each literal – If f(x,y,z) = x(y’z’ + yz)… – …the dual of f is x + (y’ + z’)(y + z)… – …then... must be a product of literals f(x,y,z) = y’ + x’yz’ + xz • The advantage is that..., such as f(x,y,z), has 23 = 8 minterms: x’y’z’ x’y’z x’yz’ x’yz xy’z’ xy’z xyz’ xyz • Each... one combination of inputs: Minterm x’y’z’ x’y’z x’yz’ x’yz xy’z’ xy’z xyz’ xyz Is... where the function output is 1. x y z f(x,y,z) f’(x,y,z) 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 f = x’y’z’ + x’y’z + x’yz’ + x’yz + xyz’ = m0 + m1 + m2 + m3... the corresponding maxterm Mi Minterm x’y’z’ x’y’z x’yz’ x’yz xy’z’ xy’z xyz’ xyz • Shorthand...



Дата загрузки: 2017-06-15
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0.09/5
...ÿvpwxyzrs{|ÿ \ÿ_ef\ghi`jbackÿ }zyswy~ÿzÿ€‚qÿƒÿ jbleagmekÿ „ƒyzÿ n`o\lbemgg …q‚wyxs†ÿ ‡ÿzx‚ˆyˆtÿ Ì >98 ÿ ‡‰wzyq...ÿ7=ÿS:=@J:LÿO7ÿS:G CK:ÿ7OC7>7ÿOCEÿ^^ÿKICEÿYZ˜Yÿ>7OBÿ QBM9KÿDÿC7?:J’ÿA7?a7J...ÿ?7=7JKG =KDC8@L =:9PC@V ÿ?KC7?:=7DÿDÿž’YZÿR7ÿX:JG OBÿ7ÿ:>7ÿR7ODK>:ÿRJ7XKDB9B8P... 8 A 7 ?H CKÿ M=HJ?7D7Nÿ >7Vÿ¢ÿ=79PA7ÿYZÿa:DJB9EÿYZZ[ÿ>7OBÿ R9:A8...ÿ`J?KI_ÿ O:CÿCBÿ78=BCABLÿD7KCBÿDÿYZ[\ÿ>7OHVÿ C@NÿD7:CC@Nÿ>BJCKQ7C_ÿ>O:ÿJBQ...ÿKÿÿ8=797DHIÿA7?BCOC7>7ÿKÿ pÿCBSB9HÿKICEÿYZ˜Yÿ>7OBÿCBÿ=:JG B_ÿ7X7J7CERD7MK...ÿC:ÿD8:ÿÿKLÿK?:CBÿD@XKG ^^ÿKICEÿYZ˜YG>7ÿDÿAJ:R78=KÿCBL7G RH8... 4BG=G9COÿAÿ9G@ÿ=86ÿK8PC7F yz‚zŠ‡ÿ~}’z}ƒÿzÿy~qzÿ£rŠ}€w ¨}€Œ€ÿŠy~‚r‚ÿy‚ˆÿ•{~€{~…~}zˆÿ 9CQÿQ>GHAI7CÿÿR8IC6CLÿSG...?ÿHAÿ>5 G6J ADC@ÿI787JO@ÿ sryz€{’zÿŠs€Šz‚ÿ}rÿŠqr{”zxÿ ‚zyrÿŽ”r~{rÿ¨}€Œ€ÿŠz‚ÿzÿ{~“~}zÿ BAG99AFQ8B86G>CLIQAMA... ùÝÜÜïÝúÿàðßåïîáßÝÿæåæáßðÝéÝÿëßðøáßðûÿ <^6ÿHG>B^@ÿBAÿBIGLÿQ>GHAI7CNÿ4ÿ qƒÿ¡€Šq€…}ƒxÿ–€qÿ®~{~}€Œ€ÿ€Šqw q~ÿ€yz‚rŠ‡ÿ}zŒrÿ¬—~ŠqÿØÿ€~”~ÿ íôÜüïÝÿáÿøåßáûýÿáþáßáòôÿÿðîÝàåéð 9C@ÿ@AMÿIAI7OK87JIOÿ7A6JQAÿMAF...@H6GQI8N •”~}ÿŽŒr}z|€{r}}rˆÿ€s€€}rÿ …~…~}€wz}Œ•”Šz‹ÿ•…rŠq}z€{ÿ€s€w {ƒsz‚zÿz|ÿªq€xÿ“~Šq}€Šqzÿzÿ{ƒ”‚zÿ ”~Œ€ÿ|~“‚ˆrÿ›rx}yzÿ¤Š‹rs€{z…rÿ Ÿzqry~‚zÿÿ|r€}w €}ƒÿ—~ŠqŠ€xÿ~‰€Šqzÿzÿ‰zw }rÿŠ~{~}ƒxÿs~~Œÿ~zÿ¨•‹r{~Ÿÿ ¨rŠr~{rÿÖ¤Š‹rs...ÿz|ÿ~w ’z~ÿŠ{~y~}zˆ«ÿ¬¹‚‡“•|r~{ÿ¹‚z“ÿ ¡ÿq€“ÿ~„ÿš¯±uÿŒ€y•ÿ¤w£ÿprs•w y~}zˆ“ÿ€yŠq{~}}z€{ÿ‰z|ƒ{r‚Šˆÿ ‰€ŠqzÿŠ‚ƒ”r‚rŠ‡ÿ ®~‚€ÿЀ‚Šq€xÿÒq„ÿ§€|}~}Š€Œ€ÿ ~{ÿ€–€“z‚ÿŠ{zy~q~‚‡Šz~ÿ‰€r|rw ›rx}yzÿ¤Š‹rs€{ÿ¥~‚€ÿ{ÿq€“„ÿ…q€ÿ{ÿ Šq~‚‡srÿzÿŒzq‚~w rx€}rÿÑ~…~}~Ÿÿ˜•‚~“~q…zÿ¦¦¦ÿ }zˆÿ€ÿŒzs...~q~‚‡Šz~ÿ‰€r|r}zˆÿ€ÿŒzs~‚zÿ ‚zÿ‰€ÿz“~}zÿ€qŸr„ÿq€ÿ‚zÿØÿy~yrÿÐrÿ ’~}ÿ }~“~Ÿzxÿ ®~yzÿ€…~€{ÿӍ¥ÿŽ”r~{rÿ ¹ÿ¹‚‡“•|r~{rÿyr‚ÿy•Œ€xÿ|r’zqw Š‚•…z‚€Š‡ÿzÿŠÿ–r“z‚z~xÿ›rx}yzÿ r“~xŠzxÿŒ€Šw ~Šq‡ÿ{€Š‰€“z}r}zˆÿ¤sy•‚w£r‹zw }zÿ~‰€Šqz...•~{ÿ‰zw …~}ÿq€‚‡€ÿ…~~|ÿ…~q{~q‡ÿ{~r„ÿ}~w }z€{ÿ—~ŠqŠ€xÿ~‰€Šqz„ÿrÿŠ€€sw pqrsÿuvwxÿyz{z|zzÿ}~ÿr|ÿy€w €}ƒÿ—~ŠqŠ€xÿ~‰€ŠqzÿŠ…zqr~qŠˆÿ Š‚r‚ÿ{ÿ“•|~xÿ‰zŠ‡“€ÿŠÿ{€Š‰€“zw Š“€qˆÿ}rÿ}~€y}€rq...‰zŠz„ÿ€q€rˆÿsƒ‚rÿ€s}r•~w ¹¹‚‡“•|r~{~«ÿ¬êŽ}ÿsƒ‚ÿzŠ‚‘w ¡ÿ€q{~q~ÿŒ€{€z‚€Š‡«ÿ¬˜€ÿy€•“~}w qƒŠˆ…zÿ¨~y•ÿq~“„ÿ}rÿŠr“€xÿq~zq€w €…rŒ€{ÿŠ€‰€qz{‚~}zˆÿŽy}r€ÿs€w }rÿ{ÿr|r“~ÿš¦wŒ€ÿ€qy~‚‡}€Œ€ÿsrw …zq~‚‡}€ÿ yzŠŸz‰‚z}z€{r}}ƒ“„ÿ qr“ÿ•…~qrÿs~|{€|{rq}ƒ‹ÿ‰€q~‡ÿ zzÿ“~“€zr...‘Š‡ÿ˜€’rx„ÿ©€w  ~Š“€qˆÿ}rÿŠ{€xÿ}z|zxÿ€Šq„ÿ Šq~‚€{€xÿyz{z|zzÿˆy€{€xÿ¹‚‡w r‚zŠ‡ÿ‰€zŠ€{zzÿ¥~‚€ÿ{ÿq€“„ÿ…q€ÿ €}ÿ{€ÿ{~“ˆÿ”qƒ€{€xÿrqrzÿ}zŠw “•|r~{ÿ¹‚z“ÿ¤‚z~{z…„ÿš¯°ÿŒ€yrÿ rŠ€‰zÿ“~Šqÿ|r‹€€}~}zˆÿ•…rŠq}zw Š€{~’r}z~ÿ€“r}yz€{ÿzÿ‰€‚zqrw yz}rÿ°´µ¶¶wuš­ s€q}z€{„ÿŒy~ÿ~”r‚Šˆÿ{€‰€Šÿ€ÿŠ€w Žy}r€„ÿ‰€ÿyr...€‘q€{Š€Œ€ÿw q€‚‡€ÿŠ‰~Ÿzr‚‡}ƒxÿ‰€zŠ€{ƒxÿ€qˆyÿ }r„ÿŠÿ®qrƒxÿÒq„ÿ‰z|{r}ÿ{ÿš¯u°ÿŒÿ ¨z}zŠq~Šq{rÿ€s€€}ƒÿ—~‚€•ŠŠzzÿ –€“z€{r}zzÿ‰€yr|y~‚~}zxÿz|ÿ ‹€yz‚Šˆÿ}~Š€‚‡€ÿ{ÿ€qyr‚~}zzÿ€qÿ ®qr€‘q€{Šz“ÿ©¡£ÿ§€|}~}Š€xÿ œ€}qÿrs€qƒÿ•ÿ}z‹ÿ‰€ÿ{Š~xÿ~Š‰•s‚zw {€z}€{ÿr|}ƒ‹ÿ…rŠq~x„ÿ•q{~y~w Ÿzqry~‚z„ÿy~r‚Šˆÿy€ÿŠ~~yz}ƒÿ €s‚„ÿ‰€Œzsÿuÿz‘}ˆÿš¯ušÿŒ€yrÿ‰zÿ ~„ÿryrˆÿ‰ˆy‡ÿ|~“‚zÿ€q€€xÿ€€‰w }zzÿz‹ÿ€“r}yz€{„ÿ{ƒy~‚z{”z‹Šˆÿ r{Œ•Šqr·ÿ®~x…rŠÿqr“ÿq€~ÿ“•|~x„ÿ€yw €s€€}~ÿ—~ŠqŠ€xÿ~‰€Šqz„ÿ“~Šq€ÿ ‚~}rÿ€{‡‘ÿ•…rŠq}z€{ÿ{€x}ƒ„ÿ‰€Šw {ÿ‹€y~ÿs€~{ƒ‹ÿy~xŠq{zxÿ—ƒ‚ÿ€qyr}ÿ }r€„ÿ€ÿq€“ÿrÿ‰€‹€yz‚rÿ~Œ€ÿ€s€w q€ÿ€Œ€“}ƒx |r‹€€}~}zˆÿ}~ÿ•r|r}€­ ˜zr|ÿ™ÿš„ÿŠ€Œ‚rŠ}€ÿ€q€€“•ÿ€w €}r„ÿq€ÿsƒ‚zÿ~Œ€ÿ|r’zq}zzÿ}rÿ ÿš±ÿz‘}ˆÿ°š°ÿŒÿz“ˆÿ¹‚z“rÿ ®€q•y}zzÿ“•|~ˆÿy€‚}ƒÿŠ}rw “r}y€{r}z~ÿŒ•‰‰€xÿ{€|‚rŒr‚€Š‡ÿ Š~Œ€y}ˆ”}zxÿy~}‡ÿ}~z|{~Šq}€ÿ}zw ¹‚‡“•|r~{rÿsƒ‚€ÿ•{~€{~…~}€ÿ}rÿ …r‚rÿ‰€ÿy€•“~}qr... ‰€Šq‡„ÿ{ÿ€q€€xÿŠzyzqÿ€q{r}ƒxÿ ‚zz„ÿ€qy~‚‡}ƒ~ÿzŠŠ‚~y€{rq~‚zÿ q€€~ÿ“ƒÿ{Šƒ‚zÿØÿªqrÿ{€€}w }€xÿŒ•‰‰ƒÿ}~ÿ•yr‚€Š‡ÿ€sž~yz}zq‡ÿ |r’zq}z„ÿŠq€zqÿ“}€Œ€ÿ€{zÿ¹qrÿ  •}€ÿŠr|rq...€qƒÿ rÿ€qÿqˆ~‚€xÿs€“sƒ„ÿwÿrŠŠr|r‚ÿ •€{€yŠq{€ÿs€ˆ“zÿ}rÿ{Š~xÿq~zw ‰€ŠqrˆÿzŠqz}rÿ~’~ÿr|ÿy€r|rw y‚ˆÿ}z‹ÿ€‚€ŠŠr‚‡}ƒxÿԊ‚zÿ¬®‰zw }r“ÿyz~q€ÿ“~“€zr‚‡}€Œ€ÿ€“w q€zzÿ~‰€Šqz„ÿ”qrsÿŠƒŒr‚ÿs€‚‡w }rÿ‰zÿ{|ˆqzz...ÿŽ”r~{rÿ}rŠ…zqƒ{r‚ÿu°ÿz“~}„ÿq€ÿ z“~}rÿq€‚‡€ÿq€z‹ÿ q~ÿ{ÿq~‹ÿ‰~‹€q}ƒ‹ÿ‰€‚r‹ÿuvwxÿ‰~w {ƒ•…•ÿ‰~‹€qƒÿzÿy€r|r‚zÿ|r“~…rw Š~x…rŠÿs‚rŒ€yrˆÿ“~Šq}ƒ“ÿzŠŠ‚~w ¨€~qÿsƒq‡„ÿŠ~yzÿ€Šqr‚‡}ƒ‹ÿ ‹€q}€xÿyz{z|zzÿ¡~“r‹qrÿsƒ‚zÿ q~‚‡}•‘ÿ{€‚‘ÿÿŠ€‰€qz{‚~}z‘­ y€{rq~‚ˆ“ÿzÿ‰€zŠ€{zr“ÿ€}ÿ{ƒw vvwqzÿ~Šq‡ÿzÿ}r”zÿ|~“‚ˆzÿ‚zÿ{ÿ Š–€“z€{r}ƒÿ”q•“€{ƒ~ÿŒ•‰w €Šÿy€ÿ¦Õύÿ €ÿÿ|r’zq}zr“ÿŸzqrw y~Šˆqr‹ÿy•Œz‹ÿ~’~ÿ}~ÿ{Šƒqƒ‹ÿ ‰ƒÿz|ÿŠr‰¢€{ÿzÿ‰~‹€qz}Ÿ~{ÿy‚ˆÿ€{w º»¼½¾¿ÀÁ»ÀÀ½Âÿ y~‚zÿ“€}€ÿ€q}~Šqzÿq€‚‡€ÿq~‹„ÿq€ÿ |r‹€€}~}zˆ‹ÿ‚zÿŠ~yzÿq~‹„ÿ€Œ€ÿ ‚ry~}zˆÿ€‰€}ƒ“zÿ‰•}qr“z„ÿ€Šw €Šqr{r‚Šˆÿqr“ÿÿz‘}ˆÿš¯ušÿŒ€yr...ÿ +-=->+-32>=(E)08ÿK6'.3I PSReO`YZ[OÿYÿReZUdR`TÿTÿfdOYZOÿXUL ÑR\UYZRShÿeOZOdbU...ÿ°±²Yj³ÿ „ÿƒutÿvwl‡ÿ¢yszz~ÿvz}u’ÿ ¢yz‚z‹mnzÿ lw‚mvwutÿ «^ªa`¬^ ÿ UVWXYVÿ [ÿ UVWXYX...



Дата загрузки: 2017-05-20
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0.19/5
... – касательными p xy = τ xy ; p yx = τ yx ; p yz = τ yz ; p zy = τ zy ; p zx = τ zx ; p xz... функциями координат точек: σ x = σ x ( x, y, z ); τ xy = τ xy ( x, y , z ); σ y = σ y ( x, y, z ); τ yz = τ yz ( x, y, z ); σ z = σ z ( x, y, z ); ........................ Введем понятие о тензоре напряжения. Для... уравнениями Навье ⎫ ∂σ x ∂τ xy ∂τ xz + + + X = 0;⎪ ∂x ∂y ∂z ⎪ ⎪⎪ ∂τ yx ∂σ y ∂τ yz + + + Y = 0; ⎬ (5) ∂x ∂y ∂z ⎪ ⎪ ∂τ zx ∂τ zy ∂σ z + + + Z = 0. ⎪ ⎪⎭ ∂x ∂y ∂z Переходим к составлению уравнений..., остается только шесть: σ x = σ x ( x, y, z ), τ xy = τ xy ( x, y, z ), ⎫ ⎪ (6) σ y = σ y ( x, y, z ), τ yz = τ yz ( x, y, z ), ⎬ ⎪ σ z = σ z ( x, y, z ), τ zx = τ zx ( x, y, z ). ⎭ Кроме того, из... − τ 2yz − (18) 2 2 2 2 − τ zx )σ − (σ x σ y σ z + 2τ xy τ yz τ zx − σ x τ yz − σ y τ zx − σ z τ xy ) = 0. 28 Полученное кубическое... деформаций от составляющих перемещения ∂u y ⎫ ∂u ∂u ε x = x ; γ xy = x + ;⎪ ∂x ∂y ∂x ⎪ ∂u y ∂u y ∂u z ⎪⎪ ; γ yz = ;⎬ εy = + (44) ∂y ∂z ∂y ⎪ ∂u ∂u ∂u ⎪ ε z = z ; γ zx = z + x . ⎪ ∂z ∂x ∂z ⎪⎭ ' '' (u z + 42 Они носят... деформациями и в двух других координатных плоскостях ∂ 2ε y ∂z 2 2 ∂ 2ε z ∂ γ yz ∂ 2ε z ∂ 2ε x ∂ 2 γ zx ⎫⎪ + 2 = ; + 2 = .⎬ ∂z∂x ⎪⎭ ∂y∂z ∂y ∂x 2 ∂z 47 (в) Уравнения (б) и (в) показывают, что... еще два уравнения ∂ ⎛ ∂γ yz ∂γ zx ∂γ xy ⎞ ∂ 2ε z ⎫ ⎜ ⎟=2 + − ;⎪ ∂z ⎜⎝ ∂x ∂y ∂z ⎟⎠ ∂x∂y ⎪ ⎬ ∂ ⎛ ∂γ zx ∂γ xy ∂γ yz ⎞ ∂ 2ε x ⎪ ⎜ ⎟=2 . + − ∂x ⎜⎝ ∂y ∂z ∂x ⎟⎠ ∂y∂z ⎪⎭ Эти уравнения свидетельствуют... уравнений: 2 2 ⎫ ∂ 2ε x ∂ 2 ε x ∂ ε y ∂ γ xy ∂ ⎛ ∂γ zx ∂γ xy ∂γ yz ⎞ ⎜ ⎟ − + = + = , 2 , ⎪ ∂x ⎟⎠ ∂x∂y ∂x ⎜⎝ ∂y ∂z ∂y∂z ⎪ ∂y 2 ∂x 2 ⎪ ∂ 2 ε y ∂ 2 ε z ∂ 2 γ yz ∂ 2ε y ∂ ⎛ ∂γ xy ∂γ yz ∂γ zx ⎞ ⎪ ⎜⎜ ⎟⎟ = 2 + 2 = + − ; , ⎬ (53) 2 ∂y∂z ∂y ⎝ ∂z ∂x ∂y ⎠ ∂z∂x ⎪ ∂z ∂y ⎪ ∂ ⎛ ∂γ yz ∂γ zx ∂γ xy ⎞ ∂ 2ε z ⎪ ∂ 2 ε z ∂ 2 ε x ∂ 2 γ zx...ε y + a43ε z + a44 γ xy + a45 γ yz + a46 γ zx ,⎪ τ yz = a51ε x + a52ε y + a53ε z + a54..., параллельных координатным плоскостям: γ xy = τ xy G ; γ yz = τ yz G; γ zx = τ zx G . (г) Суммируя линейные деформации... в изотропном упругом теле τ xy ⎫ 1 ,⎪ ε x = σ x − µ σ y + σ z , γ xy = E G ⎪ τ yz ⎪ 1 ε y = σ y − µ(σ z + σ x ) , γ yz = ,⎬ (60) E G ⎪ τ ⎪ 1 ε z = σ z − µ σ x + σ y , γ zx = zx . ⎪ E G ⎭ [ ( [ [ )] ] ( )] Формулы обобщенного... напряжений, получаем: σ x = λθ + 2µε x , τ xy = Gγ xy , ⎫ ⎪ (67) σ y = λθ + 2µε y , τ yz = Gγ yz ,⎬ ⎪ σ z = λθ + 2µε z , τ zx = Gγ zx . ⎭ Эти формулы называют... на соответствующих им возможных перемещениях τ yz δγ yz dxdydz, τ zx δγ zx dxdydz. На... силой в отдельности: δ(dA) = (σ x δε x + σ y δε y + σ z δε z + τ xy δγ xy + τ yz δγ yz + τ zx δγ zx )dxdydz. Разделив это..., где выделен параллелепипед: (б) δA = σ x δε x + σ y δε y + σ z δε z + τ xy δγ xy + τ yz δγ yz + τ zx δγ zx . На основании закона... энергии в таком виде: δW = σ x δε x + σ y δε y + σ z δε z + τ xy δγ xy + τ yz δγ yz + τ zx δγ zx . (71) Составляющие напряжений... полным ее дифференциалом ∂W ∂W ∂W ∂W ∂W ∂W δW = δεx + δε y + δεz + δγ xy + δγ yz + δγ zx . (г) ∂ε x ∂ε y ∂ε z ∂γ xy ∂γ yz ∂γ zx Сравнивая правые части... формулам (72) получим: W= ( ) 1 σ x ε x + σ y ε y + σ z ε z + τ xy γ xy + τ yz γ yz + τ zx γ zx . 2 (73) Следовательно, удельная... Клапейрона (73), получаем: 1 U = ∫∫∫ (σ x ε x + σ y ε y + σ z ε z + τ xy γ xy + τ yz γ yz + τ zx γ zx )dxdydz. (77) 2 V Соотношение... В. Физические уравнения (60) τ xy ⎫ 1 ε x = σ x − µ σ y + σ z , γ xy = ,⎪ E G ⎪ τ yz ⎪ 1 ,⎬ ε y = σ y − µ(σ z + σ x ) , γ yz = E G ⎪ 1 τ ⎪ ε z = σ z − µ σ x + σ y , γ zx = zx , ⎪ E G ⎭ [ )] ( [ [ ] (80) )] ( или в обратной...) σ x = λθ + 2Gε x , τ xy = Gγ xy , ⎫ ⎪ (80а) σ y = λθ + 2Gε y , τ yz = Gγ yz ,⎬ ⎪ σ z = λθ + 2Gε z , τ zx = Gγ zx . ⎭ Уравнения (78... функций: шесть компонентов напряжений σ x ( x, y, z ), σ y ( x, y, z ), σ z ( x, y, z ), τ xy ( x, y, z ), τ yz ( x, y, z ), τ zx ( x, y, z ), шесть компонентов деформации ε x ( x, y, z ), ε y ( x, y, z ), ε z ( x, y, z ), γ xy... (53) 64 ∂ 2ε x ⎫ ∂ ⎛ ∂γ zx ∂γ xy ∂γ yz ⎞ ⎟⎟ = 2 ⎜⎜ + ,⎪ − ∂x ⎝ ∂y ∂z ∂y∂z ⎪ ∂x ⎠ ⎪ ∂ 2ε y ⎪ ∂ 2 ε y ∂ 2 ε z ∂ 2 γ yz ∂ ⎛ ∂γ xy ∂γ yz ∂γ zx ⎞ ⎟⎟ = 2 ⎜⎜ , ,⎬ (в) + 2 = + − 2 y z y z x y z x ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂z ∂y ⎠ ⎝ ⎪ ⎪ ∂ 2ε z ⎪ ∂ 2 ε z ∂ 2 ε x ∂ 2 γ zx ∂ ⎛ ∂γ yz ∂γ zx ∂γ xy ⎞ ⎟=2 ⎜ ; . + 2 = + − ∂x∂y ⎪ ∂z∂x ∂z ⎜⎝ ∂x ∂y ∂z ⎟⎠ ∂x 2 ∂z ⎭ При... ∂ 2 S1 2 2 (1 + µ)∇ σ x + 2 = 0, (1 + µ)∇ τ xy + = 0,⎪ ∂x∂y ∂x ⎪ 2 2 ⎪⎪ ∂ S ∂ S1 (86) (1 + µ)∇ 2 σ y + 21 = 0, (1 + µ)∇ 2 τ yz + = 0, ⎬ ∂y∂z ∂y ⎪ 2 2 ⎪ ∂ S1 ∂ S1 2 2 (1 + µ)∇ σ z + 2 = 0, (1 + µ)∇ τ zx + = 0. ⎪ ⎪⎭ ∂z∂x ∂z 71 Эти... различные системы напряжений σ 'x , σ 'y , σ 'z , τ'xy , τ'yz , τ'zx и σ 'x' , σ 'y' , σ 'z' , τ'xy' , τ'yz' , τ'zx' . Обе эти системы... (78) 72 ' ⎫ ∂σ'x ∂τ xy ∂τ'xz + X = 0, ⎪ + + ∂z ∂x ∂y ⎪ ⎪ ∂τ'yx ∂σ'y ∂τ'yz ⎪ + + + Y = 0, ⎬ ∂x ∂y ∂z ⎪ ' ⎪ ∂τ'zx ∂τ zy ∂σ'z + Z = 0, ⎪ + + ∂z ∂x ∂y ⎪⎭ (а) '' ⎫ ∂σ'x' ∂τ xy ∂τ'xz' + + + X = 0, ⎪ ∂x ∂y ∂z ⎪ ' ' ⎪ ∂τ'yx... − τ'xy' )m + (τ'xz − τ'xz' )n, ⎫ ⎪⎪ ' '' ' '' ' '' 0 = (τ yx − τ yx )l + (σ y − σ y )m + (τ yz − τ yz )n,⎬ (г) ⎪ 0 = (τ'zx − τ'zx' )l + (τ'zy − τ'zy' )m + (σ 'z − σ'z' )n. ⎪⎭ Нa... = 0, τ'xz − τ'xz' = 0,⎫⎪ ⎬ ' σ 'y − σ 'y' = 0, σ 'z − σ 'z' = 0, τ'yz − τ'yz = 0 ⎪⎭ или σ'x = σ'x' , τ'xy = τ'xy' , τ'xz = τ'xz' , σ'y = σ 'y' , σ'z = σ 'z' , τ'yz = τ'yz' . Следовательно, обе системы...