Кафедра ДМ 09 04 2013 / Киреев - Расчёт И Проектирование Зуборезных Инструментов
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Ɍɚɛɥɢɰɚ 4.9. |
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Ʉɥɚɫɫ ɬɨɱɧɨɫɬɢ |
ɇɟɩɚɪɚɥɥɟɥɶɧɨɫɬɶ ɜ ɦɦ |
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ȺȺ |
0,005 |
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Ⱥ |
0,008 |
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ȼ |
0,0 0 |
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-ɪɚɞɢɚɥɶɧɨɟ ɛɢɟɧɢɟ ɡɭɛɱɚɬɨɝɨ ɜɟɧɰɚ ɨɬɧɨɫɢɬɟɥɶɧɨ ɩɨɫɚɞɨɱɧɨɝɨ ɨɬɜɟɪɫɬɢɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɬɚɛɥ. 4. 0.
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Ɍɚɛɥɢɰɚ 4. 0. |
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Ʉɥɚɫɫ |
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Ȼɢɟɧɢɟ |
ɜ ɦɦ |
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ɬɨɱɧɨɫɬɢ |
Ɇɨɞɭɥɶ m, ɦɦ |
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Ɉɬ 0,5 ɞɨ 3,55 |
ɋɜ. 3,55 |
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ȺȺ |
0,006 |
0,008 |
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Ⱥ |
0,0 |
0,0 |
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ȼ |
0,0 8 |
0,0 8 |
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ȼ ɬɟɯɧɢɱɟɫɤɢɯ ɬɪɟɛɨɜɚɧɢɹɯ ɞɨɥɠɧɨ ɛɵɬɶ ɭɤɚɡɚɧɨ
. ɇRCɷ 63...66.
2.ɇɚ ɜɫɟɯ ɩɨɜɟɪɯɧɨɫɬɹɯ ɲɟɜɟɪɚ ɧɟ ɞɨɥɠɧɨ ɛɵɬɶ ɬɪɟɳɢɧ, ɡɚɛɨɢɧ, ɜɵɤɪɨɲɟɧɧɵɯ ɦɟɫɬ, ɡɚɭɫɟɧɰɟɜ ɢ ɫɥɟɞɨɜ ɤɨɪɪɨɡɢɢ.
3.ɉɨɝɪɟɲɧɨɫɬɶ ɧɚɩɪɚɜɥɟɧɢɹ ɡɭɛɚ ≤ (ɬɚɛɥ. 4. )
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Ɍɚɛɥɢɰɚ 4. . |
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Ʉɥɚɫɫ |
ɉɨɝɪɟɲɧɨɫɬɶ ɜ ɦɦ |
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ɬɨɱɧɨɫɬɢ |
Ⱦɥɹ ɦɨɞɭɥɟɣ m, ɦɦ |
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Ɉɬ 0,5 ɞɨ 3,55 |
ɋɜɵɲɟ 3,55 |
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ȺȺ |
± 0,006 |
± 0,008 |
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± 0,009 |
± 0,009 |
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± 0,0 |
± 0,0 |
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4. Ɉɬɤɥɨɧɟɧɢɟ ɨɬ ɷɤɜɢɞɢɫɬɚɬɧɨɫɬɢ ɧɚɩɪɚɜɥɟɧɢɣɫɬɨɪɨɧɨɞɧɨɝɨɡɭɛɚ ≤ (ɬɚɛɥ.4. 2)
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Ɍɚɛɥɢɰɚ 4. 2. |
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Ʉɥɚɫɫ |
ɉɪɟɞɟɥɶɧɵɟɨɬɤɥɨɧɟɧɢɹ ɜ ɦɦ |
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ɬɨɱɧɨɫɬɢ |
Ⱦɥɹ ɦɨɞɭɥɟɣ m, ɦɦ |
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Ɉɬ 0,5 ɞɨ 3,55 |
ɋɜɵɲɟ 3,55 |
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ȺȺ |
0,006 |
0,008 |
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Ⱥ |
0,009 |
0,009 |
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5. ɉɨɝɪɟɲɧɨɫɬɶ ɩɪɨɮɢɥɹ ɡɭɛɚ ≤ (ɬɚɛɥ. 4. 3)
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Ɍɚɛɥɢɰɚ 4. 3. |
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Ʉɥɚɫɫ |
ɉɪɟɞɟɥɶɧɵɟ ɨɬɤɥɨɧɟɧɢɹ ɜ ɦɦ |
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ɬɨɱɧɨɫɬɢ |
Ⱦɥɹ ɦɨɞɭɥɟɣ m, ɦɦ |
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Ɉɬ 0,5 ɞɨ 3,55 |
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ɋɜɵɲɟ 3,55 |
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ȺȺ |
0,003 |
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0,004 |
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Ⱥ |
0,004 |
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0,006 |
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ȼ |
0,006 |
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0,008 |
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6.Ɋɚɡɧɨɫɬɶ ɨɤɪɭɠɧɵɯ ɲɚɝɨɜ ≤ (ɬɚɛɥ. 4. 4) |
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Ɍɚɛɥɢɰɚ 4. 4. |
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Ʉɥɚɫɫ |
ɉɪɟɞɟɥɶɧɵɟ ɨɬɤɥɨɧɟɧɢɹ ɜ ɦɦ |
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ɬɨɱɧɨɫɬɢ |
Ⱦɥɹ ɦɨɞɭɥɟɣ m, ɦɦ |
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Ɉɬ 0,5 ɞɨ 3,55 |
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ɋɜɵɲɟ 3,55 |
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ȺȺ |
0,003 |
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0,003 |
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Ⱥ |
0,003 |
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0,003 |
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ȼ |
0,005 |
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0,005 |
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7. ɇɚɤɨɩɥɟɧɧɚɹ ɩɨɝɪɟɲɧɨɫɬɶ ɨɤɪɭɠɧɨɝɨ ɲɚɝɚ ≤ (ɬɚɛɥ. 4. 5) |
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Ɍɚɛɥɢɰɚ 4. 5. |
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Ʉɥɚɫɫ |
ɉɨɝɪɟɲɧɨɫɬɶ ɜ ɦɦ |
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ɬɨɱɧɨɫɬɢ |
Ⱦɥɹ ɦɨɞɭɥɟɣ m, ɦɦ |
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Ɉɬ 0,5 ɞɨ 3,55 |
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ɋɜɵɲɟ 3,55 |
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ȺȺ |
0,006 |
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0,0 |
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0,0 2 |
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8. Ɉɬɤɥɨɧɟɧɢɟ ɨɬɰɢɥɢɧɞɪɢɱɧɨɫɬɢ ɢ ɤɪɭɝɥɨɫɬɢ ɨɬɜ. (d) ≤ (ɬɚɛɥ. 4. 6) |
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Ɍɚɛɥɢɰɚ 4. 6. |
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ɉɪɟɞɟɥɶɧɵɟ ɨɬɤɥɨɧɟ- |
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Ʉɥɚɫɫ ɬɨɱɧɨɫɬɢ |
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ɧɢɹ ɜ ɦɦ |
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0,003 |
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0,004 |
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9. Ⱦɨɩɭɫɤɚɸɬɫɹ ɡɚɜɚɥɵ ɤɪɚɟɜ ɧɚ ɤɚɠɞɨɣ ɢɡ ɫɬɨɪɨɧ ɨɬɜ. (d) ɞɥɢɧɨɣ ≤ (0,25 ɨɬ ɨɛɳɟɣ ɞɥɢɧɵ ɨɬɜɟɪɫɬɢɹ). Ⱦɨɩɭɫɤɚɟɬɫɹ ɪɚɡɛɢɜɚɧɢɟ (d) ɭ ɲɩɨɧɨɱɧɨɝɨ ɩɚɡɚ ɧɚ ɰɟɧɬɪɚɥɶɧɨɦ ɭɝɥɟ ɞɨ 20$.
0. Ɋɚɡɦɟɪɵ ɛɟɡ ɞɨɩɭɫɤɨɜ ɜɵɩɨɥɧɹɬɶ: ɨɯɜɚɬɵɜɚɟɦɵɯ ɩɨ ɇ 2, ɨɯɜɚɬɵɜɚɸɳɢɯ ɩɨ h 2, ɩɪɨɱɢɯ ± (IT 4)/2.
. Ɇɚɪɤɢɪɨɜɚɬɶ: m, α , β0 , ɥɟɜ.(ɦɚɪɤɢɪɭɟɬɫɹ ɬɨɥɶɤɨ ɥɟɜɨɟ ɧɚɩɪɚɜɥɟɧɢɟ), ɤɥ. ȺȺ
(ɢɥɢ Ⱥ,ȼ), Ɋ6Ɇ5, ɝɨɞ ɜɵɩɭɫɤɚ (ɩɪɢɜɨɞɹɬɫɹ ɤɨɧɤɪɟɬɧɵɟ ɫɜɟɞɟɧɢɹ ɩɨ ɜɫɟɦ ɩɚɪɚɦɟɬɪɚɦ).
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5. ɊȺɋɑȿɌ ɂ ɉɊɈȿɄɌɂɊɈȼȺɇɂȿ ɑȿɊȼəɑɇɕɏ ɎɊȿɁ ȾɅə ɒɅɂɐȿȼɕɏ ȼȺɅɈȼ ɋ ɉɊəɆɈȻɈɑɇɕɆ ɉɊɈɎɂɅȿɆ ɁɍȻɖȿȼ
5.1. ɉɪɨɮɢɥɢɪɨɜɚɧɢɟ ɡɭɛɶɟɜ ɮɪɟɡɵ
Ⱦɢɚɦɟɬɪ ɢ ɪɚɞɢɭɫ ɧɚɱɚɥɶɧɨɣ ɨɤɪɭɠɧɨɫɬɢ ɲɥɢɰɟɜɨɝɨ ɜɚɥɚ
dw = Dp2 − 0,75bp2 ; rw = 0,5dw .
ɍɝɨɥ ɩɪɨɮɢɥɹ ɡɭɛɚ ɜɚɥɚ ɧɚ ɧɚɱɚɥɶɧɨɣ ɨɤɪɭɠɧɨɫɬɢ (ɪɢɫ.5. )
γ w |
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ɉɨɥɨɜɢɧɚ ɲɢɪɢɧɵ ɡɭɛɚ a = bp 2 .
(5. )
(5.2)
(5.3)
Ɋɢɫ 5. . Ƚɪɚɮɢɱɟɫɤɚɹ ɫɯɟɦɚ ɤ ɨɛɤɚɬɭɲɥɢɰɟɜɨɝɨ ɜɚɥɚ ɢ ɱɟɪɜɹɱɧɨɣ ɮɪɟɡɵ.
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ȼɵɫɨɬɚ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ ɨɬ ɧɚɱɚɥɶɧɨɣ ɩɪɹɦɨɣ ɞɨ ɜɟɪɲɢɧɵ hao :
ɚ) ɞɥɹ ɮɪɟɡ ɛɟɡ ɭɫɢɤɨɜ
h |
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dw |
− dp |
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ɛ) ɞɥɹ ɮɪɟɡ ɫ ɭɫɢɤɚɦɢ ɪɚɫɱɟɬ ɩɪɨɢɡɜɨɞɢɬɫɹ ɩɨ ɫɥɟɞɭɸɳɢɦ ɮɨɪɦɭɥɚɦ: - ɭɝɨɥ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ ɫ ɭɫɢɤɨɦ ɩɪɢ ɜɟɪɲɢɧɟ
α ɭɫ = arccos |
(0,5dp )2 − a2 |
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rw |
- ɜɵɫɨɬɚ ɩɪɨɮɢɥɹ ɡɭɛɚ ɨɬ ɧɚɱɚɥɶɧɨɣ ɩɪɹɦɨɣ ɞɨ ɜɟɪɲɢɧɵ ɭɫɢɤɚ hao = rw sinα ɭɫ(sinα ɭɫ − sinγ w ).
Ɇɚɤɫɢɦɚɥɶɧɵɟ ɭɝɥɵ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ ɜ ɧɨɪɦɚɥɶɧɨɦ ɫɟɱɟɧɢɢ:
ɚ) ɞɥɹ ɮɪɟɡ ɛɟɡ ɭɫɢɤɚ
sin γ
α max = α n.ɤ. = arcsin w +2
ɛ) ɞɥɹ ɮɪɟɡ ɫ ɭɫɢɤɨɦ
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α max = α |
ɭɫ = arccos |
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sinγ |
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− a2
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(5.5)
(5.6)
(5.7)
(5.8)
ɍɝɨɥ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ ɧɚ ɧɚɱɚɥɶɧɨɣ ɩɪɹɦɨɣ ɞɥɹ ɮɪɟɡ ɫ ɭɫɢɤɚɦɢ ɢ ɛɟɡ ɭɫɢɤɨɜ (ɪɢɫ.5. )
α w = γ w . |
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Ⱦɥɹ ɪɚɫɱɟɬɚ ɤɨɨɪɞɢɧɚɬ ɬɨɱɟɤ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ ɜ ɧɨɪɦɚɥɶɧɨɦ ɫɟɱɟɧɢɢ
ɫɥɟɞɭɟɬ ɡɚɞɚɬɶɫɹ ɪɹɞɨɦ ɡɧɚɱɟɧɢɣ ɤɨɨɪɞɢɧɚɬ Y ɡɭɛɚ ɮɪɟɡɵ (ɨɬ Y = 0 ɞɨ Ymax = ha0); ɡɚɬɟɦ ɩɨ ɮɨɪɦɭɥɟ
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= arcsin sin γ w + |
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sin γ |
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(5. 0) |
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ɝɞɟ N - ɧɨɦɟɪ ɬɨɱɤɢ, ɨɩɪɟɞɟɥɢɬɶ ɭɝɥɵ ɩɪɨɮɢɥɹ ɜ ɪɚɫɫɦɚɬɪɢɜɚɟɦɵɯ ɬɨɱ-
ɤɚɯ. ɋɨɨɬɜɟɬɫɬɜɭɸɳɢɟ ɚɛɫɰɢɫɫɵ ɏ ɪɚɫɫɱɢɬɵɜɚɸɬɫɹ ɩɨ ɮɨɪɦɭɥɟ:
X N = rw (α N − γ w )− (rw sinα N − a) cosα N . |
(5. ) |
Ɂɧɚɱɟɧɢɹ ɭɝɥɨɜ ɜ ɮɨɪɦɭɥɟ 5. ɜ ɪɚɞɢɚɧɚɯ. |
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ȿɫɥɢ ((D – d) / dw ) ≤ 0,12, ɬɨ ɬɟɨɪɟɬɢɱɟɫɤɢɣ ɩɪɨɮɢɥɶ ɡɭɛɚ ɮɪɟɡɵ ɜ ɧɨɪ-
ɦɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ ɡɚɦɟɧɹɟɬɫɹ ɞɭɝɨɣ ɨɞɧɨɣ ɨɤɪɭɠɧɨɫɬɢ. ȼ ɩɪɨɬɢɜɧɨɦ ɫɥɭɱɚɟ ɩɪɨɢɡɜɨɞɢɬɫɹ ɡɚɦɟɧɚ ɞɭɝɚɦɢ ɞɜɭɯ ɨɤɪɭɠɧɨɫɬɟɣ, ɥɢɛɨ, ɱɬɨ ɰɟɥɟɫɨɨɛɪɚɡɧɟɟ,
ɞɭɝɨɣ ɨɞɧɨɣ ɨɤɪɭɠɧɨɫɬɢ ɫ ɨɩɬɢɦɚɥɶɧɵɦɢ ɡɧɚɱɟɧɢɹɦɢ ɩɚɪɚɦɟɬɪɨɜ ɨɤɪɭɠɧɨ-
ɫɬɢ. ɉɨɫɥɟɞɧɟɟ ɦɨɠɟɬ ɛɵɬɶ ɜɵɩɨɥɧɟɧɨ ɬɨɥɶɤɨ ɫ ɩɨɦɨɳɶɸ ɗȼɆ [9]. |
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Ɂɚɦɟɧɚ ɤɪɢɜɨɣ ɩɪɨɮɢɥɹ ɞɭɝɨɣ ɨɞɧɨɣ ɨɤɪɭɠɧɨɫɬɢ ɦɨɠɟɬ ɛɵɬɶ ɨɫɭɳɟɫɬɜ- |
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ɥɟɧɚ ɪɚɫɱɟɬɨɦ ɩɨ ɫɥɟɞɭɸɳɟɣ ɦɟɬɨɞɢɤɟ. |
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Ⱦɢɚɦɟɬɪɵ ɩɪɨɮɢɥɶɧɵɯ ɬɨɱɟɤ ɡɭɛɚ ɜɚɥɚ |
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d = dw − hao ; d2 |
= dw − ,8hao . |
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(5. 2) |
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ɉɪɨɮɢɥɶɧɵɟ ɭɝɥɵ ɡɭɛɚ ɜɚɥɚ |
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bp |
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γ = arcsin |
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= arcsin |
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(5. 3) |
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- ɉɪɨɮɢɥɶɧɵɟ ɭɝɥɵ ɜ ɫɨɩɪɹɠɟɧɧɵɯ ɬɨɱɤɚɯ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ |
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α = arccos |
d cosγ |
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; α 2 = arccos |
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-Ⱥɛɫɰɢɫɫɵ ɬɨɱɟɤ ɢ 2 ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ
X = rw (α − γ w ) – (rw sinα – a) cosα ; |
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- Ɉɪɞɢɧɚɬɵ ɬɨɱɟɤ ɢ 2 ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ |
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Y |
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ɍɝɥɵ ɜ ɮɨɪɦɭɥɚɯ ɩɨɞɫɱɟɬɚ ɤɨɨɪɞɢɧɚɬ ɜ ɪɚɞɢɚɧɚɯ. - Ⱥɛɫɰɢɫɫɚ ɰɟɧɬɪɚ ɡɚɦɟɧɹɸɳɟɣ ɨɤɪɭɠɧɨɫɬɢ (ɪɢɫ. .3)
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- Ɉɪɞɢɧɚɬɚ ɰɟɧɬɪɚ ɡɚɦɟɧɹɸɳɟɣ ɨɤɪɭɠɧɨɫɬɢ |
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2(x2 y − x y2 ) |
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(5. |
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- Ɋɚɞɢɭɫ ɡɚɦɟɧɹɸɳɟɣ ɨɤɪɭɠɧɨɫɬɢ |
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R = |
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(5. 9) |
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Ɉɩɪɟɞɟɥɟɧɢɟ ɩɨɝɪɟɲɧɨɫɬɟɣ ɩɪɢ ɡɚɦɟɧɟ ɤɪɢɜɨɣ ɩɪɨɮɢɥɹ ɞɭɝɨɣ ɨɞɧɨɣ ɨɤ- |
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ɪɭɠɧɨɫɬɢ [ 4]. |
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B = |
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ȼɟɥɢɱɢɧɵ |
X0 , Y0 ɩɨɞɫɬɚɜɥɹɸɬɫɹ ɜ ɮɨɪɦɭɥɵ ɫ ɭɱɟɬɨɦ ɡɧɚɤɨɜ. |
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α m |
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ɩɨɥɭɱɚɸɬɫɹ ɜ ɪɚɞɢɚɧɚɯ. |
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Ⱥɛɫɰɢɫɫɵ ɢ ɨɪɞɢɧɚɬɵ ɩɪɨɮɢɥɶɧɵɯ ɬɨɱɟɤ, ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɟ ɧɚɢɛɨɥɶ-
ɲɢɦ ɨɬɤɥɨɧɟɧɢɹɦ, ɪɚɜɧɵ:
Xm = rw (αm − γ w )− (rw sinαm − a)cosα m
Xm2 = rw (αm2 − γ w )− (rw sinαm2 − a)cosαm2 ;
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sin2 α |
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− a sinα |
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(5.2 ) |
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− a sinα |
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-Ɉɩɪɟɞɟɥɹɸɬɫɹ ɧɚɢɛɨɥɶɲɢɟ ɨɬɤɥɨɧɟɧɢɹ ρ1 ɢ ρ2 ɬɨɱɟɤ ɡɚɦɟɧɹɸɳɟɣ ɨɤ-
ɪɭɠɧɨɫɬɢ ɨɬ ɬɟɨɪɟɬɢɱɟɫɤɨɣ ɤɪɢɜɨɣ:
ρ = (X m |
− X 0 )2 + (Ym |
− Y0 )2 − R ; |
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− X 0 )2 + (Ym2 |
− Y0 )2 − R . |
(5.22) |
- Ⱦɨɥɠɧɨ ɛɵɬɶ ɜɵɩɨɥɧɟɧɨ ɭɫɥɨɜɢɟ:
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ȿɫɥɢ ɷɬɨ ɭɫɥɨɜɢɟ ɧɟ ɜɵɩɨɥɧɹɟɬɫɹ, ɬɨ ɩɪɨɢɡɜɨɞɢɬɫɹ ɡɚɦɟɧɚ ɞɭɝɚɦɢ ɞɜɭɯ ɨɤɪɭɠɧɨɫɬɟɣ (ɪɢɫ.5.2). ȼ ɷɬɨɦ ɫɥɭɱɚɟ ɞɢɚɦɟɬɪɵ ɨɤɪɭɠɧɨɫɬɟɣ, ɧɚ ɤɨɬɨɪɵɯ
ɩɪɢɧɢɦɚɟɬɫɹ ɪɚɫɩɨɥɨɠɟɧɢɟ ɬɨɱɟɤ ɢ 2 |
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d = dw − 0,5hao ; d2 = dw − hao . |
(5.24) |
Ɂɧɚɱɟɧɢɹ γ , γ 2 , α , α2 ,X ,X2 ,Y ,Y2 ,X0 ,Y0 ,R ɨɩɪɟɞɟɥɹɸɬɫɹ ɩɨ ɮɨɪ-
ɦɭɥɚɦ 5. 3 - 5. 9.
Ɋɢɫ. 5.2. Ɂɚɦɟɧɚ ɤɪɢɜɨɣ ɬɟɨɪɟɬɢɱɟɫɤɨɝɨ ɩɪɨɮɢɥɹ ɡɭɛɚ
ɞɭɝɚɦɢ ɞɜɭɯ ɨɤɪɭɠɧɨɫɬɟɣ
Ⱦɢɚɦɟɬɪ ɨɤɪɭɠɧɨɫɬɢ ɢ ɩɪɨɮɢɥɶɧɵɣ ɭɝɨɥ ɬɪɟɬɶɟɣ ɩɪɨɮɢɥɶɧɨɣ ɬɨɱɤɢ ɲɥɢɰɚ
d3 = dw − |
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ɉɪɨɮɢɥɶɧɵɣ ɭɝɨɥ ɬɪɟɬɶɟɣ ɩɪɨɮɢɥɶɧɨɣ ɬɨɱɤɢ ɡɭɛɚ ɮɪɟɡɵ
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d3 cosγ 3 |
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(5.26) |
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Ⱥɛɫɰɢɫɫɚ ɢ ɨɪɞɢɧɚɬɚ ɬɪɟɬɶɟɣ ɩɪɨɮɢɥɶɧɨɣ ɬɨɱɤɢ ɡɭɛɚ ɮɪɟɡɵ
X3 = rw (α3 − γ w )− (rw sinα3 − a)cosα3 ;
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sin2 α |
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− a sinα |
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ȼɫɩɨɦɨɝɚɬɟɥɶɧɵɟ ɭɝɥɵ Å3 ɢ Ε0 |
ɨɩɪɟɞɟɥɹɸɬɫɹ ɩɨ ɮɨɪɦɭɥɚɦ: |
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Y3 − Y2 |
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ɝɞɟ ɏ0 ɢY0– ɤɨɨɪɞɢɧɚɬɵ ɰɟɧɬɪɚ ɩɟɪɜɨɣ ɨɤɪɭɠɧɨɫɬɢ. |
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Ɋɚɞɢɭɫ ɜɬɨɪɨɣ ɨɤɪɭɠɧɨɫɬɢ |
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R2 = |
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2 cosΕ0 cos(Ε3 + Ε0 ). |
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Ʉɨɨɪɞɢɧɚɬɵ ɰɟɧɬɪɚ ɜɬɨɪɨɣ ɨɤɪɭɠɧɨɫɬɢ |
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cosΕ |
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+ X |
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; Y/ = −(R |
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sinΕ |
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− Y ). |
(5.30) |
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ɉɨɝɪɟɲɧɨɫɬɢ ɨɬ ɡɚɦɟɧɵ ɤɪɢɜɨɣ ɨɤɪɭɠɧɨɫɬɢ ɜɵɱɢɫɥɹɸɬɫɹ ɩɨɫɥɟɞɨɜɚ-
ɬɟɥɶɧɨ ɞɥɹ ɩɟɪɜɨɣ ɢ ɜɬɨɪɨɣ ɨɤɪɭɠɧɨɫɬɢ. ɍ ɜɬɨɪɨɣ ɨɤɪɭɠɧɨɫɬɢ ɩɨɝɪɟɲɧɨɫɬɶ ɨɩɪɟɞɟɥɹɟɬɫɹ ɬɨɥɶɤɨ ɞɥɹ ɦɟɧɶɲɟɝɨ ɭɝɥɚ α m , ɬ.ɤ. ɛɨɥɶɲɟɟ ɡɧɚɱɟɧɢɟ ɟɝɨ ɥɟɠɢɬ ɡɚ ɩɪɟɞɟɥɚɦɢ ɩɪɨɮɢɥɹ.
Ⱦɥɹ ɮɪɟɡ ɛɟɡ ɭɫɢɤɨɜ ɪɚɞɢɭɫ ɨɤɪɭɠɧɨɫɬɢ, ɫ ɤɨɬɨɪɨɣ ɧɚɱɢɧɚɟɬɫɹ ɩɟɪɟɯɨɞ-
ɧɚɹ ɤɪɢɜɚɹ ɨɬ ɛɨɤɚ ɲɥɢɰɚ ɤ ɜɧɭɬɪɟɧɧɟɣ ɨɤɪɭɠɧɨɫɬɢ ɲɥɢɰɟɜɨɝɨ ɜɚɥɚ, ɨɩɪɟɞɟ-
ɥɹɟɬɫɹ ɩɨ ɮɨɪɦɭɥɚɦ:
X n.ɤ. = (rw sinα n.ɤ. |
− a)cosα n.ɤ. |
(5.3 ) |
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α n.ɤ. ɫɦ. ɮɨɪɦɭɥɭ 5.7. |
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(5.32) |
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02
ɉɪɨɜɟɪɢɬɶ ɜɵɩɨɥɧɟɧɢɟ ɭɫɥɨɜɢɹ ɜɨɡɦɨɠɧɨɫɬɢ ɲɥɢɰɟɜɨɝɨ ɫɨɟɞɢɧɟɧɢɹ
ɞɥɹ ɜɚɥɨɜ ɢɫɩɨɥɧɟɧɢɹ ɋ ɢ ȼ (ɪɢɫ. .2). |
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Ⱦɥɹ ɜɚɥɚ ɢɫɩɨɥɧɟɧɢɹ ɋɞɨɥɠɧɨ ɛɵɬɶ ɜɵɞɟɪɠɚɧɨ ɭɫɥɨɜɢɟ: |
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(5.33) |
Ⱦɥɹ ɜɚɥɚ ɢɫɩɨɥɧɟɧɢɹ ȼɞɨɥɠɧɨ ɛɵɬɶ ɜɵɞɟɪɠɚɧɨ ɭɫɥɨɜɢɟ: |
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dn.ɤ. < d . |
(5.34) |
ȿɫɥɢ ɷɬɢ ɭɫɥɨɜɢɹ ɧɟ ɜɵɞɟɪɠɢɜɚɸɬɫɹ, ɬɨ ɩɪɨɢɡɜɨɞɢɬɫɹ ɚɧɚɥɢɡ ɫ ɰɟɥɶɸ
ɜɵɹɜɥɟɧɢɹ ɜɨɡɦɨɠɧɨɫɬɢ ɢɡɦɟɧɟɧɢɹ (ɭɦɟɧɶɲɟɧɢɹ) rw . ɂɥɢ ɩɪɢ ɢɡɝɨɬɨɜɥɟɧɢɢ ɜɚɥɨɜ ɢɫɩɨɥɧɟɧɢɹ «ɋ» ɭɜɟɥɢɱɢɬɶ ɮɚɫɤɭ ɧɚ ɜɬɭɥɤɟ, ɚ ɩɪɢ ɢɡɝɨɬɨɜɥɟɧɢɢ ɜɚɥɨɜ ɢɫɩɨɥɧɟɧɢɹ «ȼ» - ɭɜɟɥɢɱɢɬɶ ɞɢɚɦɟɬɪ ɜɚɥɚ d.
Ⱥɥɝɨɪɢɬɦ ɡɚɦɟɧɵ ɤɪɢɜɨɣ ɩɪɨɮɢɥɹ ɡɭɛɚ ɮɪɟɡɵ ɜ ɧɨɪɦɚɥɶɧɨɣ ɩɥɨɫɤɨɫɬɢ ɞɭɝɨɣ ɨɤɪɭɠɧɨɫɬɢ ɫ ɨɩɬɢɦɚɥɶɧɵɦɢ ɡɧɚɱɟɧɢɹɦɢ ɩɚɪɚɦɟɬɪɨɜ: ɪɚɞɢɭɫɚ R ɢ ɤɨ-
ɨɪɞɢɧɚɬɰɟɧɬɪɚ ɨɤɪɭɠɧɨɫɬɢ ɏ0 ɢ Y0 - ɩɪɟɞɫɬɚɜɥɟɧɚ ɧɚ ɪɢɫ. 5.3 [9].
ɒɚɝ ɡɭɛɶɟɜ ɮɪɟɡɵ ɜ ɧɨɪɦɚɥɶɧɨɦ ɫɟɱɟɧɢɢ Ɋn0 ɢ ɬɨɥɳɢɧɚ ɡɭɛɶɟɜ ɧɚ ɧɚ-
ɱɚɥɶɧɨɣ ɩɪɹɦɨɣ S n0 :
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−γ w |
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ɝɞɟ γ w – ɜ ɪɚɞɢɚɧɚɯ.
5.2. Ɋɚɫɱɟɬ ɤɨɧɫɬɪɭɤɬɢɜɧɨ-ɝɟɨɦɟɬɪɢɱɟɫɤɢɯ ɩɚɪɚɦɟɬɪɨɜ ɱɟɪɜɹɱɧɨɣ
ɮɪɟɡɵ ɞɥɹ ɲɥɢɰɟɜɵɯ ɜɚɥɨɜ ɫ ɩɪɹɦɨɛɨɱɧɵɦ ɩɪɨɮɢɥɟɦ
ȼ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫɨ ɡɧɚɱɟɧɢɟɦ Ɋno ɢɡ ɬɚɛɥ. 5. ɜɵɛɪɚɬɶ ɡɧɚɱɟɧɢɹ ɫɥɟɞɭɸ-
ɳɢɯ ɩɚɪɚɦɟɬɪɨɜ ɱɟɪɜɹɱɧɨɣ ɮɪɟɡɵ:
dao – ɧɚɪɭɠɧɨɝɨ ɞɢɚɦɟɬɪɚ; d – ɞɢɚɦɟɬɪɚ ɛɭɪɬɢɤɨɜ; dɨɬɜ – ɞɢɚɦɟɬɪɚ ɩɨ-
ɫɚɞɨɱɧɨɝɨ ɨɬɜɟɪɫɬɢɹ; dɜ - ɞɢɚɦɟɬɪɚ ɜɵɬɨɱɤɢ ɜ ɨɬɜɟɪɫɬɢɢ; Lmin - ɦɢɧɢɦɚɥɶɧɨɣ ɞɥɢɧɵ ɛɭɪɬɢɤɚ (ɫɦ. ɪɢɫ. .3).
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Ɋɢɫ. 5.3. Ⱥɥɝɨɪɢɬɦ ɨɩɪɟɞɟɥɟɧɢɹ ɨɩɬɢɦɚɥɶɧɨɣ ɚɩɩɪɨɤɫɢɦɚɰɢɢ ɬɟɨɪɟɬɢɱɟɫɤɨɝɨ ɩɪɨ-
ɮɢɥɹ ɡɭɛɶɟɜ ɱɟɪɜɹɱɧɨ-ɲɥɢɰɟɜɨɣ ɮɪɟɡɵ ɞɭɝɨɣ ɨɤɪɭɠɧɨɫɬɢ
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