Microsoft PowerPoint Chapter 6 CHAIN DRIVE 20/3/2023 1 20 Mar 23 1 CHATER 5 CHAIN DRIVES THEORY OF MACHINE AND MACHINE DESIGN DEPARTMENT OF EDUCATION AND TRAINNING HOCHIMINH CITY UNIVERSITY OF TECHNOL[.]
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CHATER 5: CHAIN DRIVES
THEORY OF MACHINE AND MACHINE DESIGN
DEPARTMENT OF EDUCATION AND TRAINNING
HOCHIMINH CITY UNIVERSITY OF TECHNOLOGY AND EDUCATION
TS Phan Công Bình binhpc@hcmute.edu.vn binhpc.tpm@gmail.com
Target
1 Understanding the basic of chain drives
2 Understanding dynamic of the chain drives
3 Design the chain drives
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Theoretical contents
I Overview
II Sequence of calculation and design the chain drives
III Exercise 3
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Overview
1 Structure
1 Driving sprocket 2 Driven sprocket 3 Chain4 Chain tensioner
1
2
3
4 4
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d1, Z1pitch diameter and number of teeth on the sprocket 1
d2, Z2pitch diameter and number of teeth on the driven sprocket 2
a: Centre distance
2 Geometrical parameters
Overview
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Movement and load are transmitted from the driving sprocket to the
driven sprocket based on the principle of matching in chain drive
3 Operating principle.
Overview
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A chain tensioner is applied to increase the performance of the drive
3 Operating principle.
Overview
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Based on structure :
Roller chain
Bush chain
Inverted tooth chain
4 Classification
Overview
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Based on lines of chain:
1 line chain
Multiple lines chain
4 Classification
Overview
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Conveyor chain Chain drive Lifting chain
Based on the load mode:
4 Classification
Overview
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Advantages:
Overview
5 Advantages and disadvantages
synchronized chain drive
Far center distance transmission (<8m)
Less tension adjustment
small force effected on shaft
No sliding
Smaller structure compared to belt drives
Long lifetime
Transmit to multiple shaft at the same time
(synchronized function)
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Cause noise due to impact
Unstable instantaneous ratio
Complex in manufacturing,
assembly and maintenance
Disadvantages :
Overview
5 Advantages and disadvantages
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6 Application
Overview
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7 Broken patterns
Hinge Abrasion increasing pitch Out of chain
Overview
Broken roller
pc
pc
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Theoretical contents
I Overview
II Sequence of calculation and
design the chain drives
III Exercise
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Chain selection: => Roller chain
Number of teeth on sprocket:
Z1 29 2u
Z2 uZ1
(Roller chain11 15 < Z < 100 120)
Sequence of calculation and design the chain drives
P1(kW) Power on the driving sprocket
n1(rpm) Rotation speed of the driving sprocket
u Ratio
1 Initial parameters
2 Determine parameters of chain drives
Z should be odd number
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Calculationpitch of chain directly by the following equation :
3 3
1 0 x 1 1 0 x
c Z p K Z n p K
p 2.82
Based on satisfied standard abrasion and searched in Table 5.4 ([P] andn01)
2 Determine parameters of chain drives
Sequence of calculation and design the chain drives
K KzKn
Kx
Pt P1 P
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n01=50 n01=200 n01=400 …
2 Determine parameters of chain drives
Sequence of calculation and design the chain drives
Based on n1to determine n01(the closest given range)
Based on n01andPt, [P] is selected in Table 5.4
01
n
p
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Pitch of
chain
(mm)
Pin
diameter
dc,(mm)
Length of
Bushing
(mm)
Allowable power [P], kW, rotation speed of driving sprocket
n01 ,(rpm)
-Pt=5.5 kW
n1=350 rpm
2 Determine parameters of chain drives
Sequence of calculation and design the chain drives
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Kxis coefficient of uneven load distribution depend on lines of chain :
Kzcoefficient of the teeth number on the driving sprocket :
Kn coefficient of the rotating speed of the driving sprocket:
2 Determine parameters of chain drives
Sequence of calculation and design the chain drives
01 1 n
n K
n
01
25 z
Z K
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Kr– Coefficient of Dynamic load:
+ Smooth performance Kr=1,
+ Impact load Kr=1,2÷1,5;
+ Strong impact load Kr=1,8
2 Determine parameters of chain drives
Sequence of calculation and design the chain drives
K= KrKaK0KdcKbKlv
Ka– Coefficient of center distance
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K0– Coefficient of the drive position The angle taken by the
center line and the horizontal line is smaller than 60oK0= 1,25
2 Determine parameters of chain drives
Sequence of calculation and design the chain drives
Kdc– Coefficient of ability to adjust chain tension:
+ Kdc= 1 for center distance adjustment
+ Kdc= 1,1 for employing chain tensioner
+ Kdc=1,25 for chain drive can not adjust tension
KbCoefficient of lubrication conditions:
+ Kb= 0,8 for continuously lubricating;
+ Kb= 1; for dripping lubricating
+ Kb= 1,5 for periodic lubricating
Klv– Coefficient of working shift a day
+ Klv= 1 for 1 shift
+ Klv= 1,12 for 2 shifts
+ Klv= 1,45 for 3 shifts
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Sequence of calculation and design the chain drives
Pitch circle diameter
Note: d2should be smaller than 600(mm), or it is limited by the specific conditions
Then, lines of chain can be increased to reduce d2
xmust be even number
1
1 sin c p d Z
Chain link
Centre distance
2 Determine parameters of chain drives
2
2 sin c p d Z
𝑥 = 2𝑎
𝑝𝑐
+ 𝑍1+ 𝑍2
𝑍2− 𝑍1 2𝜋
𝑝𝑐 𝑎
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Instantaneous velocity:
Instantaneous ratio:
u Z cos
Z12cos
Z1 Z1
Z2 Z2
cos
cos
3 Validation of chain drive dynamic
Sequence of calculation and design the chain drives
a Instantaneous velocity and ratio of chain drive
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b Average velocity and ratio chain
Average velocity:
1
6.104
Z1 pcn1
v
2
6.104
v Z 2 pcn2
Average ratio chain:
u n1 Z2
n2 Z1
Sequence of calculation and design the chain drives
3 Validation of chain drive dynamic
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Checking the number of impact per second
To limit the impact kinetic energy E, the number of impacts per second is
defined as:
15
Z n
x
[i] search in Table 5.6
Type of chain
Pitch of chain pc, (mm)
-Sequence of calculation and design the chain drives
3 Validation of chain drive dynamic
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4 Calculating chain by resistance.
Condition: The pressure generated on the contact surface of the pin and
hinge p must be less than the allowable pressure [p] of material wrapped
bushing
Because of difference of experimental condition
[ ] F
A
0 [ ]
K
Pitch of chain
pc(mm)
Allowable pressure in hinge of chain[po], (MPa) rotating speed of
driving sprocket n1, (rpm)
31,75 ÷ 38,1 35
35
29 26 24 21 21 17,5 18,5 15 16,5 – 15 – – – – – Sequence of calculation and design the chain drives
Allowable pressure[p0] search in Table 5.3
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5 F orce Analysis acting on shaft
Initial force F0
F0 = Kfqm a g (N)
Sequence of calculation and design the chain drives
Auxiliary Fv
Fv = qm v2(N)
Kf: Coefficient of chain deflection
+ Kf=1 for vertical position of chain drive
+ Kf=3 for angle smaller 400
+ Kf=6 for horizontal position of chain drive
qm: Mass of 1m chain (kg)
a: Centre distance (m)
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Tension force in each side
F2 = F0 + Fv(N)
F1 = F2+ Ft (N)
Ft = 2T1/d1 (N)
Sequence of calculation and design the chain drives
5 F orce Analysis acting on shaft
Force acting on shaft Fr
Fr = KmFt(N)
Kmis dependent on the angle between the center line with the horizontal line
+ Km=1.15 for angle smaller 400
+ Km=1 for angle from 400 to 900
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Q1:
Pitch of
chain
p (mm)
Allowable power [P], kW, rotating speed of driving sprocket n01(rpm)
12,7 0,35 1,27 2,29 3,13 3,86 4,52 5,06 5,95
12,7 0,45 1,61 2,91 3,98 4,90 5,74 6,43 7,55
15,875 0,57 2,06 3,72 5,08 6,26 7,34 8,22 9,65
There is two lines of Roller chain Transmission Power P1= 5,5 Kw and the rotating
speed of driving sprocket n1=380rpm Teeth on driving sprocket and driven sprocket
are Z1=23 and Z2=63, respectively The working condition coefficient K=1,8 Allowable
power of roller chain are given in Table 1
a Based on standard abrasion, determine pitch of chain pcof the chain drive
b Determine pitch circle diameters
Table 1 Allowable power of roller chain
Problems
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01
1
400
1,05
380
n
n
K
n
01
1
25
1,09
23
z
Z
K
Z
t x
K K K
K
a Determine pc:
+ 2 lines of chain: => Kx=1,7
+ n1=380rpm => n01=400rpm
select pc=19,05mm
[ ] 8,38 t
b Determine the pitch circle diameters :
sin (𝑍𝜋)= 𝟏𝟑𝟗, 𝟗𝑚𝑚
sin (𝑍𝜋)= 𝟑𝟖𝟐, 𝟐𝑚𝑚
n01=400rpm
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Roller chain drive has 2 lines of chain, pitch of chain pc=25,4; teeth on driving
sprocket Z1=23, Z2=63 Rotating speed of driving sprocket n1=380rpm
Center distance a=40pcand coefficient K=1,7
Determine:
1 Pitch circle diameters
2 Chain links
3 Maximum power P1(kW)
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