Page 1286 - MiSUMi 2025

Economy series Technical Calculation
Shock Absorbers

Examples of Calculation for Selection
Ex.: Pure Inertial Collision (Horizontal Collision without Thrust Force) Ex.: Horizontal Collision with Air Cylinder Thrust Force Ex.: Soft Stop in the Cylinder Falling
Example of Use V S <Collision Conditions> Air Cylinder V S <Collision Conditions> m F <Collision Conditions>
m=30kg
m=15kg
m=25kg
and m V=0.6m/s F m 3 V=0.6m/s V=0.2m/s
Collision Conditions F=0N Air Cylinder N=20 times/min Air Cylinder N=10 times/min
N=30 times/min
Inner Dia. φ 40 Operating Pressure 0.5MPa Inner Dia. φ 25 Operating Pressure 0.5MPa
* Collision velocity V is actual measurements
Collision Velocity V[m/s] V=0.6m/s = 25x0.6 2 =4.5J V=0.6m/s = 30x0.6 2 =5.4J V=0.2m/s = 15x0.2 2 =0.3J
or 1.5~2 times the average speed.
Inertial Energy [J]
mxV 2
mxV 2
mxV 2
Absorbed Energy Temporary Stroke S'[mm] From Fig.1, S'=20mm (Select Fixed type) From Fig.1, S'=15mm (Select Adjustable type) From Fig.1, S'=10mm (Select Adjustable type)
E1=
E1=
E1=
2
2
2
2
2
2
E1
Additional Energy [J]
Thrust of the cylinder is F=245.4N
Thrust of the cylinder is F=628.4N
E2'=0J
E2'
E2'=FxS'=628.4x0.015=9.4J
E2'=(F+mg)xS'=(245.4+15x9.8)x0.01=3.92J
Total Energy E'[J] E'=E1+E2'=4.5+0=4.5J
Equivalent Mass [kg] me'= 2xE' = 2x4.5 =25kg E’=E1+E2'=5.4+9.4=14.8J E'=E1+E2'=0.3+3.92=4.22J
2xE'
2x14.8
2x4.22
2xE'
me'=
=
=
=82.2kg
=211kg
me'=
me' V 2 0.6 2 V 2 0.6 2 V 2 0.2 2
Select Adjustable type Select Adjustable type Select Adjustable type
Stroke
Stroke
Stroke
Temporary selection Select C-AC1210L from E and me'. ( S=10mm) Select Medium Speed M from the collision velocity. ( S=16mm) Select MAC1612S from E' and me'. ( S=12mm)
Select Ultra Low Speed S from Fig. 2.
Select L from the collision velocity.
Select C-AD2016 from E' and me'.
Recalculation E2=0J me= 2xE =25kg E2=FxS=10.1J me= 2xE E2=(F+mg)xS=4.71J me= 2xE =250kg
V 2 =86.1kg
E=E1+E2=4.5J V 2 E=E1+E2=15.5J E=E1+E2=0.3+4.71=5.01J V 2
Energy per Minute ET ET=ExN=4.5x30=135J/min ET=ExN=15.5Jx20=310J/min ET=ExN=5.01x10=50.1J/min
Confirmation E, me, N and ET are OK. E, me, N and ET are OK. E, me, N and ET are OK.
Select C-AD2016
Select MAC1612S* 2
Select C-AC1210L
* For horizontal collision without thrust force, select the orifice type only by collision velocity. *2 MAC1612S is not Economy series
Ex.: Horizontal Collision with Belt Conveyor Thrust Force Ex.: Collision with synchronous motor driven load Ex.: Horizontal Collision with Belt Conveyor Thrust Force
<Collision Conditions>
V S <Collision Conditions> R m=1kg <Collision
R=0.4m
Example of Use μ m m=5kg r m H r=0.3m r R Conditions>
φ =20°
and V=0.5m/s M S N=10 times/min S l=125.5kgm 2
=1.8rad/s
N=20 times/min
4
Collision Conditions Motor Output P=20w, No. of Poles M=36 l= - mr 2 =0.12kgm 2 R=1.25m
3
=5.6rad/s
Power Supply Frequency f=50Hz, F=59.3N N=6 times/min
Dynamic Friction Coefficient µ=0.4 Deceleration Ratio K=20 T=68.6Nm
17 Collision Velocity V[m/s] V=0.5m/s = 5x0.5 2 =0.625J V=R =0.4x5.6=2.24m/s =1.88J V=R =1.25x1.8=2.25m/s =203.31J
Inertial Energy [J]
I
I
mxV 2
2
0.12x5.6 2
2
125.5x1.8 2
Absorbed Energy
E1=
=
E1=
=
E1=
2
2
2
2
2
2
Shock Absorbers / Rod End Bearing / Floating Joints / O-Rings Equivalent Mass [kg] E2'=F . S'=19.6x0.005=0.098J From Fig.1, S'=10mm (Select Adjustable type) From Fig.1, S'=50mm (Select Adjustable type)
E1
Temporary Stroke S'[mm] From Fig.1, S'=5mm (Select Fixed type)
68.6
T
Additional Energy [J] F=µmg=0.4x5x9.8=19.6N
, S'=
E2'=
E2'=(F+mg)xS'=(59.3+1x9.8)x0.01=0.69J
x0.05=2.74J
E2'
R
1.25
E'=E1+E2'=1.88+0.69=2.57J
Total Energy E'[J] E'=E1+E2'=0.625+0.098=0.723J
E'=E1+E2'=203.31+2.74=206.05J
2x2.57
2x206.05
2x0.723
2xE'
2xE'
2xE'
me'=
=5.8kg
=81.4kg
me'=
me'=
2.24 2 =1.0kg
=
=
=
me'
2.25 2
V 2
V 2
V 2
0.5 2
Select Adjustable type
Select Fixed Type
Select 2 Stage Type
Select Single Orifice from V
Select Multi-Orifice from Fig. 2.
Select MAC3650H from E' and me'. ( S=50mm )
Stroke
Stroke
T
E2=0.69J
E2=E2'=0.098J
2xE
E2=
, S=2.74J
Recalculation
=5.8kg
me=
me=
Shock Absorbers Temporary selection Select C-AC0806L from E' and me'. ( S=6mm ) Select C-AC1210S from E' and me'. ( S=10mm ) Select Speed H Type from Fig. 2. 2xE' Stroke
me=1.0kg
=81.4kg
R
V 2
V 2
E=E1+E2=0.723J
E=E1+E2=2.57J
E=E1+E2=206.05J
Energy per Minute ET
ET=ExN=2.57x10=25.7J/min
ET=ExN=0.723x20=14.46J/min
ET=ExN=206.05x6=1236.3J/min
Select C-AC0806L
Select C-AC1210S
Select MAC3650H* 2
P.17-003 Confirmation E, me, N and ET are OK. E, me, N and ET are OK. E, me, N and ET are OK.
*2 MAC3650H is not Economy series
QShock Absorbers (P.17-008~P.17-013) Classification according to Absorption Characteristics Structures
Rod End Bearings Structure Type Single orifice structure has the same resistance properties as forms of a dashed pot structure
with a space between the piston and cylinder tube, a single tube structure with an orifice in
P.17-012 Single Orifice Fixed / Adjustable the piston, and a double tube single orifice structure. F
Ex. Description of a single tube structure.
A piston with a single orifice slides into an oil-filled cylinder tube. Because the office area is
constant over the entire stroke, as the shock absorption characteristics shown in the right
Floating Joints graph, the resistance is the largest immediately after a collision but gradually reduces speed S
as the stroke continues.
In this double-tube structure, the piston slides in the inner tube. This inner
Adjustable
energy but energy depending on various purposes can be absorbed. It is
P.17-014 Irregular Multi Orifice Heavy Load tube has several orifices along the direction of strokes, and not only constant F
designed to absorb kinetic energy during the first half of stroke and control
speed during the second half. Therefore, it is well suited to absorb energy
O-Rings against air cylinder thrust. S
Multi Orifice area becomes small gradually as the stroke speed slows down, drag remains
tube has several orifices along the direction of strokes. Because the orifice
P.17-015 2 Stage / 2 Way In this double-tube structure, the piston slides in the inner tube. This inner F
largely constant, though the drag fluctuates like a ripple.
17-007 E For Adjustable-Dumping Type with thread sizes from M14 to M36 have a single-hole orifice structure, while M42* has an irregular S 17-008
multi-hole orifice structure. *M42 Adjustable type is not Economy series Products.