19. اﻷول اﻟﻔﺼﻞ:اﻟﻘﻄﻊ ﻧﻈﺮﯾﺔ
7
φsin
BD
AB =
φsin
1t
AB =
( )γφ −
=
cos
BC
AB
( )
AB
BC
=− γφcos
2tBC =
( )γφ −
=
cos
2t
AB
AB
BD
=φsin
1tBD =
اﻟﻤﺜﻠﺚ ﻣﻦ(ABD)ﻧﻋﻠﻰ ﺤﺼﻞ:
;
اﻟﻤﺜﻠﺚ ﻣﻦ(ABC)ﻋﻠﻰ ﻧﺤﺼﻞ:
;
)1(
)2(
Chip Thickness after Cutting
(t2)
Undeformed Chip Thickness
(t1)
γ
Ø
D
B
A
γ-Ø
α
Workpiece
رﻗﻢ اﻟﺸﻜﻞ)1-5(:وﻣﯿﺮﺷﻨﺖ آرﻧﺴﺖ ﻧﻈﺮﯾﺔ ﺣﺴﺐ اﻟﺮاﯾﺶ ﺗﻜﻮﯾﻦ
Tool
C
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20. اﻷول اﻟﻔﺼﻞ:اﻟﻘﻄﻊ ﻧﻈﺮﯾﺔ
8
( )γ−φ
φ
==
cos
sin
2
1
c
r
t
t
γ
γ
φ
sin1
cos
tan 1
c
c
r
r
−
= −
°=⇒
×−
×
=
−
=
−
−
66.18
12sin318.01
12cos318.0
tan
sin1
cos
tan
1
1
φ
φ
γ
γ
φ
c
c
r
r
2
1
t
t
rc = 318.0
1.1
35.0
=⇒= cc rr
ﻣﻦﻼهأﻋ ﺎدﻟﺘﯿﻦاﻟﻤﻌ ﻼلﺧﯾﺴﺎبﺣ ﻦﻤﻜﺮاﯾﺶاﻟ ﻤﻚﺳ ﺴﺒﺔﻧ(Chip Thickness Ratio)
)
2
1
t
t
(ﺑﺎﻟﺮﻣﺰ ﻟﮭﺎ ﯾﺮﻣﺰ واﻟﺘﻲُ(rc).
ﻗﯿﻤﺔ ﺗﻜﻮن(rc)أﻷ داﺋﻤﺎ واﺣﺪ ﻣﻦ ﻗﻞًﻮھ ﻊاﻟﻘﻄ ﺪﺑﻌ اﻟﺮاﯾﺶ ﺳﻤﻚ نأﺮاﯾﺶاﻟ ﻤﻚﺳ ﻦﻣ ﺮﻛﺒ
اﻟﻘﻄﻊ ﻗﺒﻞ.
اﻟﻘﺺ زاوﯾﺔ ﺣﺴﺎب ﯾﻤﻜﻦ ﻛﺬﻟﻚ)φ(ﻣﻦاﻟﺘﺎﻟﯿﺔ اﻟﻤﻌﺎدﻟﺔ:
ﻣﺜﺎل
ﺴﺮﻋﺔ ﺑ ﺘﻢ ﺗ ﻮدي ﻋﻤ ﻊ ﻗﻄ ﺔ ﻋﻤﻠﯿ(500m/min)ﺮف ﺟ ﺔ زاوﯾ ﺪ ﻋﻨ(12º)ﻊ ﻗﻄ ﻖ وﺑﻌﻤ
(0.35mm)ﻓﯿﮭﺎ اﻟﺮاﯾﺶ ﺳﻤﻚ ﻛﺎن ،(1.1 mm)،إاﻟﻌﻤﻠﯿﺔ ﻟﮭﺬه اﻟﻘﺺ زاوﯾﺔ ﺣﺴﺐ.
اﻟﺤﻞ//
;
)3(
)4(
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