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????????? ????????? ????????
 

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????????? ????????? ????????

?????????? ???????? ??????? ???? ????????? ????????, ???????????? ??????????? ? ????????????? ??? (???. 1.1).

???. 1.1

?????? ??????????? ????????????? ??????? ????????? , ????????? ??? ?????????????, ?????????? ????????? ????? ????????????? ? . ????? ????????? ??????????????? ???????????? ? ??????? ????????? ????? ???

, . (1.1)

????? ???? ??????? ???? ? ??????? ????????? ? ????????? ????????, ?????????? ???????? ? ????????? ??????? , ??????????? ????????? ?????????, ????????? ?????????? ????????.

???????? ??????????? , , ????? ????????? ????????? ???????? ? ?????????? ,

??? - ???????????? ???????? ???????? ????? ??????????? ? ???????????? ????? ???? ? ??????????????. ????????, ???

. (1.2)


???????? ???????? ????????????, ?????????????? ?? ????????????, ?? ???????? ???????????? ????????????. ??? ????????, ??? ???????? ???????????? ???????? ????????? ??? ??? ??????? ??????????????? ??? ? ??? ????????. ? ?????????? ???????? ?????? ? ???????? ???? ????????? ???????? ????? ????????? ????????????? ??? ???????? ???????? ????????????.

??????????? ???????????? ?????? ?????? ???????? ????? ???????? ????????? , ??? - ??????????? ?????? ???? ???????? ?? ??????????? ?????????? , - ??????????? ??????? ??????? ?? ???????????? ? ??????????????.

? ?????? ????? ????????? ???????? ???????? ????????? ??? [1]

, , (1.3)

, , , . (1.4)

????? - ?????????? ??????? ?????????? ? ????????, - ???????? ? ????????. ??????????????? ????????? ? (1.2), (1.3) ?????????? ?? ?????? ???????? ???, ??? ? ??? ??????????? ???????, ???????? ??????? ??????? ? ???? ?? ????????? ? ??????????? ???????. ?? (1.2) ???????, ??? ???????? ? ???????? ????? ??????? ?? ????????? ?? ?????????? , ?? ???? .

????????? ??? ????????? ? (2) ????? ???????? ????? ????????? ????????? ???????

(1.5)

??? ?????? , , - ???? ???? ? ??????????????.

????????? ???????? ? ???????????? ???????? ??????? ???????? ?????? ????????????? ????????? ?????????????

. (1.6)

?? ???????????? ?????????? ?????????? ?????????? ????????? ? ???????????? ???????? ???????? ???????? ?????? ????????? ?? ????????? ???????? ????????????, ?? ???? ?????? ??????????? ???????

, , (1.7)

. (1.8)

?????????????? ????????? ????????????? (1.6) ?? ?????????? ?? ?? ??? ????????????? ????????? . ???????? (1.8) ? (1.2), ????????:

, (1.9)

??? - ????????? ?????????? ????????? ? ????? ??????????????? ? ???????????? .

????????? ?????????? ????????? ?????????? ??? ? ?????????? ????????, ??? ? ? ?????????? ???????????. ???????? ????? ? ?????? ?????? ??? ??????????? ????????? ? ???? [1]

, (1.10)

??? - ???????????,

- ????????? ?????????? ????????? ??? ??????????? ???????? ? ??????????? ,

- ??????????? ????????? ??????????,

- ?????????.

???????? ???????? ????????

, , .

????????? ??????????? ?? ??????? ?????????? ???? (?? ?????????? ) ????? ??????? . ??????? ????????????? ????????? ????????? ?? ??????? ?????????? ???? . ? ????? ? ???? ?????????? ????????? ???????? ?? ??????? ?????????? ???? ????? ?????????? ? ????????? ????????????? (9) ????? ???????? ? ????

, (1.11)

??? - ????????? ??????, ?????????? ???????? ????? ????????? ???????? ???????? ?? ???? ? ??????????????.

? ??????????? ?????????? ????????? ??????????? ?? ??????????? ?????????? ????? ????????? ?????????? ???????? ????????. ??? ????? ???????? ? ??????????????? ????????? ????????? ?????????? ?????????, ??????? ? ??????????? ??????? ????? ???????????? ????????

, (1.12)


??????????? ?????? ????????? ????????? ?????????? ????????? ? ?????????? ????????.

? ??????????? ??????? ???????? ????? ?????????????? ? ????????? ???? ???????? ?????????????? ?? ??????. ??????????? ??????????????? ?? ?????? ???????? ? ??????????? ? ????????? ??????? ??????? ???????? ??????? ??????? ? ????, ???????? [1] :

, (1.13)

??? - ??????????? ????????, ???????????? ? ??????????? ???????????????? ?????????? ?????????, ??????????????.

????????? (1.5), (1.11), (1.12), (1.13) ??????????? ??? ???? ????? ?????? ????????? ?????????. ??? ???????? ???????? , ???????????? ??????? ?????????? ????, ? ??? ???? ????????? ????????? ?????? ???? ??????????? ????????? ???????:

, , , .

???????????? ??????????? ???????? ?????????, ???????????? ??????????? ????? ???????? ?????????? ? ???????? ????????? ??????????. ? ??????????????? ?????? ??? ??????????? ???????? ? ???????????? ????? ????????? ? . ? ???????? ??????? ?????? ???????????? ????????? ??? ??????????? ????? ???

, (1.14)

??? - ???????? ?????????? ?????????, ????????? ?? ???????? ? ???????????.

????????????? ??? ????? ????????? (1.14) ?? ?????????? , ? ???????? ??????????? (1.5), ????????

. (1.15)


?????? ????? ????????? (1.15) ?? ??????? ?? ?????????? . ??? ????????? ???????????????? ???. ??? ???? ???? ?????????, ??? ???????? ????? ?????????? ?? ??????? ?????????? ???? ?????????? ????????? ???????????. ?????????? ????????? (1.15) ? ?????????? ?????????? ????????? ? ????????? (1.11), ???????? ????? ????????? ??????????????

, (1.16)

??? . ????????? (16) ?????????? ?????????? ??????????.


? ?????????????? ?????? ?????? ????????? ????????? ???

. (1.17)


???????? ?????????? ?????????, ???????? ? ????????? ??????????, ??????? ??? ?? ????????, ??? ? ?? ???????????. ??? ????? ??????????? ???????? ?? ???????? ???????? ????? ???????????? ??? ??????. ???????? ??????? ???????? ?????? ?????? [2], ? ???????????? ? ??????? ???????? ??????????????? ?????? ? ?????? ????????, ?? ????

, (1.18)

??? - ???????? ?????????? ????????? ??? ??????????? ????????, - ???????????????? ????????. ????? ?????? ???????? ?????? ?????? ??????? [3]

, , (1.19)

??? - ????????? (?????? ).

????? ????????? (1.16), ??? (1.17) ????? ???????????? ??????? ?????????? ?????? ????????? ? ????????? ???????. ????????? ??????? ?????????? ???????????? ??? ?????????? ?????????? ??????, ??????? ?? ?????? ??????? ????? ??????????????? ?? ?????. ???????????? ????????? ??????? ??? ????????? ?????????? ????????? ??????? ?????????? ????????????? ? ????????????????? ???????????? [4-6]. ?????????? ???? ???????????? ??????? ? ???, ??? ??? ??????? ?????????, ??????????? ? ????????? ????, ????? ???? ???????????? ???????

, (1.20)

??? - ??????? ??????? , ?????????? ????????? ?????.

????????? (1.16) (??? (1.17)) ????????? ? ???????? (1.18) ?????????? ?????????? ??????? , ???? ?????? ????????? ???????, ?? ???? ?????? , ?????? ??????? , ? ????? ?????? ??????? ??????? , ???????????? ?? ????????. ??????? ????? ????????? ?? 2 ?????. ????? ???? ????? ??????? ?????? ????????? ? ?????, ? ??? ????? ???????, ??? ???????, ????????. ??? ???????????? ???????????? ???? ?????? ? ????????? ?????? ??????. ????? ?????? ????? ??????? ?????? ???????? ?? ??????. ??? ????? ???????, ??????? ????????? , ?????????? ? ??? ?? ??????????? ?????????? ?????????????? ???????. ??? ??????? ?????????, ??????????? ? ????????? ????, ? ???????? ?????? ??????? ????? ???? ????????????, ??? ?????????? ?????????????, ??? ????????????, ????????? ???????

, (1.21)

??? - ????????? ?????? ??????? ? ??????? .

??????????

1. ??????? ?.?., ?????????? ?.?., ??????? ?.?.?????????????? ?????? ?????????? ?????????????. ?.: ???-?? ?????, 1985, 284 ?.

2. Dowson D., Higginson G. R. Elastohydrodynamic Lubrication. The Fundamentals of Roller and Gear Lubrication. Oxford: Permagon Press. 1966

3. Roelands C. J. A. Correlation aspects of viscosity-temperature-pressure relationship of lubricating oils: PhD Thesis. Delft: Delft University of Technology. 1966

4. ??????? ?. ?????? ???? ??????????? ????????? ??? ?????????? ?????? ????? ? ?????? ????????? ????????? ??????????? ????????.- ???????? ?????? ? ??????, 1973, ? 2.

5. ???? ??, ???? ?. ??????? ??????? ????????? ??????. ?. I. ????????????? ??????.- ???????? ?????? ? ??????, 1970, ?. 92, ?3, ?. 79-86

6. ???? ??, ???? ?. ??????? ??????? ????????? ??????. ?. II. ????? ????????? ??????? ??? ????????? ??????????.- ???????? ?????? ? ??????, 1971, ?. 93, ?1, ?. 149-160.


 

?????? ??????


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