变位齿轮的计算方法

变位齿轮的计算方法 变位齿轮的计算方法 1 变位齿轮的功用及变位系数 变位齿轮具有以下功用: (1)避免根切; (2)提高齿面的接触强度和弯曲强度; (3)提高齿面的抗胶合和耐磨损能力; (4)修复旧齿轮; (5)配凑中心距。 对于齿数z,8,20的直齿圆柱齿轮，当顶圆直径d=mz+2m+2xm时，不产生根切的最小变位系数x，amin 以及齿顶厚S,0.4m和S,0时的变位系数x,0.4m和x,0如表1所列。 aasasa2 变位齿轮的简易计算 将变位齿轮无侧隙啮合方程式作如下变换: 总变位系数 中心距变动系数 齿顶高变动系数 表 1 齿数z,8,20圆柱齿轮的变位系数 z x x,0.4m x ,minsasa0 0.53 8 0.18 0.56 0.47 9 0.22 0.63 0.42 10 0.27 0.70 0.36 11 0.31 0.76 0.30 12 0.35 0.82 0.24 13 0.39 0.88 0.18 14 0.43 0.93 0.12 15 0.46 0.98 0.06 16 0.50 1.03 0 17 0.53 1.08 ,0.05 18 0.56 1.13 19 ,0.11 0.59 1.18 20 0.62 1.23 ,0.17 或 Δy,x,y Σ式中:α——压力角，α,20?; α′——啮合角; z、z——大、小齿轮的齿数。 21 should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation 将上述三式分别除以，则得: 由上述公式可以看出，当齿形角α一定时，x、y和Δy均只为啮合角α′的函数。在设计计算时，zzz 只要已知x、y、Δy和α′四个参数中的任一参数，即可由变位齿轮的x、y、Δy和啮合角α′的zzzzzz数值表(表2)中，查出其他三个参数，再进行下列计算。一般齿轮 手册 华为质量管理手册 下载焊接手册下载团建手册下载团建手册下载ld手册下载 上均列有此数值表。 式中正号用于外啮合，负号用于内啮合。 3 计算实例 例1: 已知一对外啮合变位直齿轮，齿数z,18，z,32，压力角α,20?，啮合角α′,22?18′，试12 确定总变位系数x、中心距变动系数y及齿顶高变动系数Δy。 Σ 解: 根据α′,22?18′查表2，得: x,0.01653，y,0.01565，Δy,0.00088 zzz 由此得: 例2: 已知一直齿内啮合变位齿轮副，齿数z,19，z,64，α,20?，啮合角α′,21?18′。求x、12Σy及Δy。 解: 根据α′,21?18′查表2，得: x,0.00886，y,0.00859，Δy,0.00027。 zzz 由此得: should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation 其他几何尺寸计算按常规计算进行。 此外，变位齿轮的公法线长度的变动量ΔW,2sinαxm，当α,20?时，公法线长度变动量ΔW, 0.684xm，式中x为变位系数，应计及正、负号。 因此，变位齿轮的公法线长度为: *W,Wm，0.684xm kk *式中:W——某齿数齿轮跨测k齿时，模数m,1的公法线长度。 k 表 2 变位齿轮的y、x、Δy和啮合角α′(α,20?) zzz α′ 19? 20? 21? (分) y x Δy y x Δy y x Δy zzzzzzzzz 0 ,0.00616 ,0.00601 0.00015 0.00000 0.00000 0.00000 0.00655 0.00671 0.00016 1 014 011 011 000 666 683 017 606 592 2 014 021 021 000 677 694 017 596 582 3 013 032 032 000 689 706 017 586 573 4 013 042 043 000 700 718 018 576 563 5 012 053 053 000 711 730 019 566 554 6 012 064 064 000 722 742 020 556 544 7 011 075 075 000 734 754 020 546 535 8 011 085 086 000 745 766 021 536 525 9 011 096 096 000 756 778 022 526 515 10 ,0.00516 ,0.00506 0.00010 0.00106 0.00107 0.00001 0.00768 0.00789 0.00022 11 010 117 118 001 779 801 023 506 496 12 010 128 129 001 790 814 023 496 486 13 009 139 139 001 802 825 024 486 477 14 009 149 150 001 813 837 024 476 467 15 009 160 161 001 825 850 025 466 457 16 008 171 172 001 836 862 026 456 448 17 007 182 183 001 847 874 027 445 438 18 007 192 194 002 859 886 027 435 428 19 007 203 205 002 870 898 028 425 418 20 ,0.00415 ,0.00408 0.00007 0.00214 0.00216 0.00002 0.00882 0.00910 0.00029 21 007 225 227 002 893 923 030 405 398 22 006 236 238 002 905 935 030 395 389 23 005 246 249 003 916 947 031 384 379 24 005 257 260 003 928 959 032 374 369 25 005 268 271 003 939 972 033 364 359 26 005 279 282 003 951 984 033 354 349 27 005 290 293 003 962 996 034 344 339 28 004 301 304 003 974 0.01009 035 333 329 29 004 312 315 003 985 021 036 323 319 30 0.00313 ,0.00309 0.00004 0.00323 0.00326 003 0.00997 0.01033 0.00036 31 303 004 334 338 004 0.01009 046 037 299 32 292 004 344 349 005 020 058 038 289 33 282 003 355 360 005 032 070 039 279 34 272 003 366 371 005 043 083 040 269 35 261 002 377 383 006 055 095 040 259 36 251 002 388 394 006 067 108 041 249 37 241 002 399 405 006 087 121 042 238 38 230 002 410 417 007 090 133 043 228 should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation 39 220 218 002 421 428 007 102 146 044 40 ,0.00210 ,0.00208 0.00002 0.00432 0.00439 0.00007 0.01113 0.01158 0.00045 41 001 443 451 008 125 171 046 199 198 42 001 454 462 008 137 184 047 189 187 43 001 465 473 008 148 196 048 178 177 44 001 476 485 009 160 209 049 168 167 45 001 487 496 009 172 222 050 158 157 46 001 499 508 009 184 235 051 147 146 47 001 510 519 009 195 247 052 137 136 48 000 521 531 010 207 260 053 126 126 49 000 532 542 010 219 273 054 116 115 50 ,0.00105 ,0.00105 0.00000 0.00543 0.00554 0.00011 0.01231 0.01286 0.00055 51 000 553 565 011 243 299 056 095 095 52 000 565 577 012 254 311 057 084 084 53 000 576 589 013 266 324 058 074 074 54 000 588 600 013 278 337 059 063 063 55 000 599 612 013 290 350 060 053 052 56 000 610 624 014 302 363 061 042 042 57 000 621 636 015 314 376 062 032 032 58 000 632 647 015 325 389 064 021 021 59 000 644 659 015 337 402 065 011 010 60 ,0.00000 ,0.00000 0.00000 0.00655 0.00671 0.00016 0.01349 0.01415 0.00066 0 0.01349 0.01415 0.00066 0.02085 0.02238 0.00153 0.02862 0.03145 0.00283 1 361 428 067 097 252 155 876 160 285 2 373 441 068 110 267 157 889 176 278 3 385 454 069 122 281 159 902 192 290 4 397 467 070 135 296 161 916 208 292 5 409 480 071 148 310 162 929 224 295 6 421 494 073 160 325 165 942 240 298 7 433 507 074 173 339 166 956 256 300 8 445 520 075 186 354 168 969 272 303 9 457 533 076 198 368 170 983 288 305 10 0.01469 0.01547 0.00078 0.02211 0.02383 0.00172 0.02996 0.03304 0.00308 11 481 560 079 224 398 174 0.03010 320 310 12 493 573 080 237 412 175 023 337 314 13 505 586 081 249 427 178 036 353 317 14 517 600 083 262 442 180 050 369 319 15 529 613 084 275 457 182 063 385 321 16 541 627 086 288 471 183 077 401 324 17 553 640 087 301 486 185 090 418 328 18 565 653 088 313 501 188 104 434 330 19 578 667 089 326 516 190 118 450 332 20 0.01590 0.01680 0.00090 0.02339 0.02530 0.00191 0.03131 0.03467 0.00326 21 602 694 092 352 546 194 145 483 328 22 614 707 093 365 560 195 158 499 331 23 626 721 095 378 575 197 172 516 334 24 638 735 097 390 590 200 185 532 337 25 651 748 098 403 605 202 199 549 340 26 663 762 099 416 620 204 213 565 342 27 675 775 100 429 635 206 226 582 346 28 687 789 102 442 650 208 240 598 348 29 699 803 104 455 665 210 254 615 351 30 0.01712 0.01816 0.00105 0.02468 0.02681 0.00213 0.03267 0.03631 0.00354 31 724 830 106 481 696 215 281 648 357 32 736 844 108 494 711 217 295 665 360 33 749 858 109 507 726 219 309 681 372 34 761 871 110 520 741 221 322 698 376 35 773 885 112 533 756 223 336 715 379 36 785 899 114 546 772 226 350 731 381 37 798 913 115 559 787 228 364 748 384 should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation 38 810 927 117 572 802 230 377 765 388 39 822 941 119 585 818 233 391 782 391 40 0.01835 0.01955 0.00120 0.02598 0.02833 0.00235 0.03405 0.03798 0.00393 41 847 968 121 611 848 237 419 815 396 42 860 982 122 624 863 239 433 832 399 43 872 996 124 638 879 241 446 849 403 44 884 0.02010 126 651 895 244 460 866 406 45 897 024 127 664 910 246 474 883 409 46 909 039 130 677 925 248 488 900 412 47 922 053 131 690 941 251 502 917 415 48 934 067 133 703 956 253 516 934 418 49 947 081 134 716 972 256 530 951 421 50 0.01959 0.02095 0.00136 0.02730 0.02988 0.00258 0.03544 0.03969 0.00425 51 972 109 138 743 0.03003 260 558 986 428 52 984 124 140 756 019 263 572 0.04003 431 53 997 138 141 769 034 265 586 020 434 54 0.02009 152 143 783 050 267 600 037 437 55 022 166 144 796 066 270 613 054 441 56 034 180 146 809 082 273 628 072 444 57 047 195 148 822 097 275 642 089 447 58 059 209 150 836 113 277 656 106 450 59 072 224 152 849 129 280 670 123 453 60 0.02085 0.02238 0.00153 0.02862 0.03145 0.00283 0.03684 0404141 0.00457 should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation