FAILURE ANALYSIS OF GAS TURBINE BLADE USING FINITE ELEMENT ANALYSISIAEME Publication
This paper presents the failure analysis of the turbine blade of a gas turbine engine 9E GE type, installed in a certain type of simple systems consisting of the gas turbine driving an electrical power generator.
A non-linear finite element method was utilized to determine the stress state of the blade segment under operating conditions. High stress zones were found at the region of the lower fir-tree slot, where the failure occurred. A computation was also performed with excessive rotational speed. Attention of this study is devoted to the mechanisms of damage of the turbine blade and also the critical high stress areas.
structural and modal analysis of an engine block by varying materialsIjripublishers Ijri
The largest part of the engine is cylinder block. The upper section of the cylinder block consists of cylinders and pistons. Crankcase is supported by the crankshaft and it is placed in the lower section. Aluminum cylinder blocks are lighter than the cast-iron cylinder blocks of the same size. Cylinder block, pistons, cylinder head, crankshaft and connecting rods are the major elements of the engine. IC engine cooling uses either a liquid or gas to remove the unnecessary heat from an internal combustion engine. For special purpose and small engines, air cooling makes for a lightweight and relatively simple system, if we use the materials with better waste heat dissipation it will help in achieving better efficiencies and long life of the engine.
http://www.ijriset.com/pdf/mech/VOLUME%203/IJRI-ME-03-033/IJRI-ME-03-033%20STRUCTURAL%20AND%20MODAL%20ANALYSIS%20OF%20AN%20ENGINE%20BLOCK%20BY%20VARYING%20MATERIALS.html#
http://www.ijriset.com/pdf/mech/VOLUME%203/IJRI-ME-03-033/IJRI-ME-03-033%20STRUCTURAL%20AND%20MODAL%20ANALYSIS%20OF%20AN%20ENGINE%20BLOCK%20BY%20VARYING%20MATERIALS.pdf
It is obvious that vehicle weight has a linear relationship
with the energy to be dissipated (stored) and the change
in velocity required has a exponential relationship.
• Deceleration times and stopping distances vary
somewhat for all vehicles on a given road surface.
• It should then be obvious that sizing the brake system
components has critical importance with respect to the
potential vehicle velocity and the mass of the vehicle.
• Note that heavy trucks generally have greater stopping
distances as compared to typical passenger cars.
radiator in a heat exchanger its a part of engine cooling module. manufacturing of radiator and you can go through every part used to make the radiator with the different process till leak testing.
FAILURE ANALYSIS OF GAS TURBINE BLADE USING FINITE ELEMENT ANALYSISIAEME Publication
This paper presents the failure analysis of the turbine blade of a gas turbine engine 9E GE type, installed in a certain type of simple systems consisting of the gas turbine driving an electrical power generator.
A non-linear finite element method was utilized to determine the stress state of the blade segment under operating conditions. High stress zones were found at the region of the lower fir-tree slot, where the failure occurred. A computation was also performed with excessive rotational speed. Attention of this study is devoted to the mechanisms of damage of the turbine blade and also the critical high stress areas.
structural and modal analysis of an engine block by varying materialsIjripublishers Ijri
The largest part of the engine is cylinder block. The upper section of the cylinder block consists of cylinders and pistons. Crankcase is supported by the crankshaft and it is placed in the lower section. Aluminum cylinder blocks are lighter than the cast-iron cylinder blocks of the same size. Cylinder block, pistons, cylinder head, crankshaft and connecting rods are the major elements of the engine. IC engine cooling uses either a liquid or gas to remove the unnecessary heat from an internal combustion engine. For special purpose and small engines, air cooling makes for a lightweight and relatively simple system, if we use the materials with better waste heat dissipation it will help in achieving better efficiencies and long life of the engine.
http://www.ijriset.com/pdf/mech/VOLUME%203/IJRI-ME-03-033/IJRI-ME-03-033%20STRUCTURAL%20AND%20MODAL%20ANALYSIS%20OF%20AN%20ENGINE%20BLOCK%20BY%20VARYING%20MATERIALS.html#
http://www.ijriset.com/pdf/mech/VOLUME%203/IJRI-ME-03-033/IJRI-ME-03-033%20STRUCTURAL%20AND%20MODAL%20ANALYSIS%20OF%20AN%20ENGINE%20BLOCK%20BY%20VARYING%20MATERIALS.pdf
It is obvious that vehicle weight has a linear relationship
with the energy to be dissipated (stored) and the change
in velocity required has a exponential relationship.
• Deceleration times and stopping distances vary
somewhat for all vehicles on a given road surface.
• It should then be obvious that sizing the brake system
components has critical importance with respect to the
potential vehicle velocity and the mass of the vehicle.
• Note that heavy trucks generally have greater stopping
distances as compared to typical passenger cars.
radiator in a heat exchanger its a part of engine cooling module. manufacturing of radiator and you can go through every part used to make the radiator with the different process till leak testing.
Transient Thermal Analysis of AlSiCp Composite Disc Brakeijceronline
Disc brakes are devices which will slow down or stop the heading vehicle. During the process of braking the brakes get heated up. Repeated braking will cause the excessive heating of the disc and braking action becomes less effective when the disc is over heated. So it is very much necessary that the heat generated is dissipated faster or the disc material gets less heated. In this paper we have considered a metal Matrix Composite AlSiCp which will satisfy these criteria. An analysis of composite and CI disc brakes over a repeated braking is done and the results are analyzed. The current paper deals with transient thermal analysis of composite disc brake. Transient analysis is generally made on systems where the forces acting are varied with respect to time. Model of the disc brake is done in Creo. Here temperature distribution in composite disc brake and CI disc brake under dynamic conditions are compared and analyzed using Ansys workbench 15.0. The composite material selected is AlSiCp, as it has good mechanical properties, wear resistance and high thermal conductivity. The project aims at reducing the heat generated during repeated braking with the use of an AlSiCp composite disc brake
Design & Analysis of a Disc Brake using Feaijceronline
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Dimensional and Constructional Details of Components, Fundamentals of TNM Met...IJERA Editor
For the improvement in thermal design of squirrel cage induction (SCIM) motor, it is essential to know details
of the methods for evaluation of thermal distribution in a SCIM motor. A presentation of various details of
methods of basics of heat transfer that occur in a SCIM motor is done in this report. SCIM motors have wide
applications and thus their construction is completely influenced by the starting characteristics specified by the
operating loads. General constraints of a motor and specification of 30 KW motor are presented in this report as
a case study of constraints. As the next step the Thermal Network Method (TNM) has been explained.
DYNAMIC ANALYSIS OF ENGINE BLOCK FOR SELECTION OF SUITABLE MATERIAL FOR COST ...Ijripublishers Ijri
The Aim of this project is to design a combustion chamber using Pro-E and perform analysis using ANSYS software.
The analysis of the combustion chamber is done by using different materials. By conducting the above analysis on the
combustion chamber combustion rate, pressure and temperature gradient conditions are found and the best material
for the combustion chamber is suggested.
Thermal analysis is conducted to find heat dissipation rate in engine block with the variation of materials Structural
and fatigue analysis(dynamic) is conduct on engine block at working load conditions to evaluate and compare stress,
strain, deformation and fatigue life with the variation of materials.
Frequency analysis is conducted on engine block with the variation of materials to evaluate frequency,
Using these values material selection will be done, the value should be nearby previous one (cast iron) maximum accepted
variation value 65HZ.
Advanced Energy Transfer Systems Thermoset MoldingAcrolab Ltd.
Heating injection thermoset molds in a uniform manner to achieve near isothermal mold face conditions is a critical requirement for dimensionally sensitive engineered products.
This presentation will highlight a case study that will address a technologically advanced heating system which provides near isothermal mold face conditions in conjunction with rapid thermal energy throughput.
This system offers faster overall molding cycles,more consistent product performance outcomes,
simplified maintenance and reduced downtime.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Enegy Regenaration in a Hydraulic Damper by Turbo Generator Flowpath MechanismIJERA Editor
This paper develops a modification to hydraulic damper to utilize its energy lose in the form of heat. During the working of actual hydraulic damper, when the suspension fluid is compressed inside the damper cylinder in order to absorb the vibration shocks,the frictional energy of the vehicle is dissipated as heat loss by the suspension fluid in order to minimise the effect of bumps and ridges in road. So in order to harness this power loss, we have developed an energy saving hydraulic damper by modifying the existing model of hydraulic damper.We create a separate flow path with rotating turbine parallel to the damping cylinder connecting the upper and lower end of damper. When the vehicle travels down from a bump, the coil spring compresses forcing the piston to push the suspension fluid upwards and this high pressure fluid travels through the flow path rotating the turbine which in turn runs the generator for power generation. A check valve is provided at the flow path end to prevent the fluid back flow.Thus the suspension fluid kinetic energy is converted into mechanical energy by means of the turbine.
Variable compression ratio and heat balance sheetdishantpati
Variable compression ratio is a technology to adjust the compression ratio of an internal combustion engine while the engine is in operation. This is done to increase fuel efficiency while under varying loads.
ePropelled SG500 series are the most versatile starter generators in their category. The slim line design boasts a patent pending active air-cooling system that allows it to operate in temperatures in excess of 180°C in certain applications.
Performance Analysis of Variable Compression Ratio Engine using DieselIDES Editor
An experimental investigation is carried out to study
the effect of compression ratio on variable compression ratio
engine using diesel oil. In this paper the performance
characteristics are studied at various compression ratios and
loads. This would give a complete idea how an engine behaves
both at various loads and compression ratios. After analyzing
an attempt has been made to suggest the best optimal
compression ratio at which an engine could work with higher
thermal efficiency and lower specific fuel consumption. This
detailed study of various engine parameters useful for knowing
the best compression ratio of an engine which is found as 17 at
which the brake power is 2.662KW at 3/4th load. The Specific
fuel consumption is found to be minimum at compression ratio
18.The optimum performance of the engine at a load and it
certainly provide a frame work for different engines
manufacturers to acknowledge the best compression ratio at
which the engine has to be designed.
Transient Thermal Analysis of AlSiCp Composite Disc Brakeijceronline
Disc brakes are devices which will slow down or stop the heading vehicle. During the process of braking the brakes get heated up. Repeated braking will cause the excessive heating of the disc and braking action becomes less effective when the disc is over heated. So it is very much necessary that the heat generated is dissipated faster or the disc material gets less heated. In this paper we have considered a metal Matrix Composite AlSiCp which will satisfy these criteria. An analysis of composite and CI disc brakes over a repeated braking is done and the results are analyzed. The current paper deals with transient thermal analysis of composite disc brake. Transient analysis is generally made on systems where the forces acting are varied with respect to time. Model of the disc brake is done in Creo. Here temperature distribution in composite disc brake and CI disc brake under dynamic conditions are compared and analyzed using Ansys workbench 15.0. The composite material selected is AlSiCp, as it has good mechanical properties, wear resistance and high thermal conductivity. The project aims at reducing the heat generated during repeated braking with the use of an AlSiCp composite disc brake
Design & Analysis of a Disc Brake using Feaijceronline
International Journal of Computational Engineering Research (IJCER) is dedicated to protecting personal information and will make every reasonable effort to handle collected information appropriately. All information collected, as well as related requests, will be handled as carefully and efficiently as possible in accordance with IJCER standards for integrity and objectivity.
Dimensional and Constructional Details of Components, Fundamentals of TNM Met...IJERA Editor
For the improvement in thermal design of squirrel cage induction (SCIM) motor, it is essential to know details
of the methods for evaluation of thermal distribution in a SCIM motor. A presentation of various details of
methods of basics of heat transfer that occur in a SCIM motor is done in this report. SCIM motors have wide
applications and thus their construction is completely influenced by the starting characteristics specified by the
operating loads. General constraints of a motor and specification of 30 KW motor are presented in this report as
a case study of constraints. As the next step the Thermal Network Method (TNM) has been explained.
DYNAMIC ANALYSIS OF ENGINE BLOCK FOR SELECTION OF SUITABLE MATERIAL FOR COST ...Ijripublishers Ijri
The Aim of this project is to design a combustion chamber using Pro-E and perform analysis using ANSYS software.
The analysis of the combustion chamber is done by using different materials. By conducting the above analysis on the
combustion chamber combustion rate, pressure and temperature gradient conditions are found and the best material
for the combustion chamber is suggested.
Thermal analysis is conducted to find heat dissipation rate in engine block with the variation of materials Structural
and fatigue analysis(dynamic) is conduct on engine block at working load conditions to evaluate and compare stress,
strain, deformation and fatigue life with the variation of materials.
Frequency analysis is conducted on engine block with the variation of materials to evaluate frequency,
Using these values material selection will be done, the value should be nearby previous one (cast iron) maximum accepted
variation value 65HZ.
Advanced Energy Transfer Systems Thermoset MoldingAcrolab Ltd.
Heating injection thermoset molds in a uniform manner to achieve near isothermal mold face conditions is a critical requirement for dimensionally sensitive engineered products.
This presentation will highlight a case study that will address a technologically advanced heating system which provides near isothermal mold face conditions in conjunction with rapid thermal energy throughput.
This system offers faster overall molding cycles,more consistent product performance outcomes,
simplified maintenance and reduced downtime.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Enegy Regenaration in a Hydraulic Damper by Turbo Generator Flowpath MechanismIJERA Editor
This paper develops a modification to hydraulic damper to utilize its energy lose in the form of heat. During the working of actual hydraulic damper, when the suspension fluid is compressed inside the damper cylinder in order to absorb the vibration shocks,the frictional energy of the vehicle is dissipated as heat loss by the suspension fluid in order to minimise the effect of bumps and ridges in road. So in order to harness this power loss, we have developed an energy saving hydraulic damper by modifying the existing model of hydraulic damper.We create a separate flow path with rotating turbine parallel to the damping cylinder connecting the upper and lower end of damper. When the vehicle travels down from a bump, the coil spring compresses forcing the piston to push the suspension fluid upwards and this high pressure fluid travels through the flow path rotating the turbine which in turn runs the generator for power generation. A check valve is provided at the flow path end to prevent the fluid back flow.Thus the suspension fluid kinetic energy is converted into mechanical energy by means of the turbine.
Variable compression ratio and heat balance sheetdishantpati
Variable compression ratio is a technology to adjust the compression ratio of an internal combustion engine while the engine is in operation. This is done to increase fuel efficiency while under varying loads.
ePropelled SG500 series are the most versatile starter generators in their category. The slim line design boasts a patent pending active air-cooling system that allows it to operate in temperatures in excess of 180°C in certain applications.
Performance Analysis of Variable Compression Ratio Engine using DieselIDES Editor
An experimental investigation is carried out to study
the effect of compression ratio on variable compression ratio
engine using diesel oil. In this paper the performance
characteristics are studied at various compression ratios and
loads. This would give a complete idea how an engine behaves
both at various loads and compression ratios. After analyzing
an attempt has been made to suggest the best optimal
compression ratio at which an engine could work with higher
thermal efficiency and lower specific fuel consumption. This
detailed study of various engine parameters useful for knowing
the best compression ratio of an engine which is found as 17 at
which the brake power is 2.662KW at 3/4th load. The Specific
fuel consumption is found to be minimum at compression ratio
18.The optimum performance of the engine at a load and it
certainly provide a frame work for different engines
manufacturers to acknowledge the best compression ratio at
which the engine has to be designed.
The peer-reviewed International Journal of Engineering Inventions (IJEI) is started with a mission to encourage contribution to research in Science and Technology. Encourage and motivate researchers in challenging areas of Sciences and Technology.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
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Temperature rise and life of an ac motor javid iqbal sodagar
1.
2. 1. Temperature Rise and Heat Resistant
Class of AC Motor
Electrical Energy Conversion and Loss
An AC motor is an energy conversion device that
converts input electrical energy into power for
rotation and outputs it. Electrical energy is not 100%
converted to power, and some energy is lost (heat).
Motor temperature rise affects the operating time limit and motor life.
3. Motor heat class and burnout
The heat resistant class is a classification based on the heat resistant
grade of the insulating material. It is defined by JIS standard. Our AC
motors are classified as either Class E (120° C) or Class B (130° C).
Classification varies from series to series.
If the internal temperature of the motor exceeds the heat class value for a while, the
winding film melts and shorts. This phenomenon is called burnout. The burnt out
motor will stop working. Also, if not burned, the temperature rise affects the motor
life. During operation, be careful not to exceed the winding allowable temperature.
As the winding temperature inside the motor can not be measured directly, measure
the surface temperature of the motor case as a reference.
4. For our AC motor, the temperature difference between the windings and
the motor case is up to 30 ° C. The guidelines for each heat resistant
class are summarized in the table below.
Our AC motors will not burn out if the motor case temperature is below 90° C.
5. 2. Operating Rated Time of AC Motor
We will introduce the temperature rise of the motor winding when
actually driving the motor.
Motor winding temperature change due to the passage of operating
time
We have specified the temperature rise and time rating of the AC motor
under the severest conditions for the motor.
• Measurement condition:
・ Ambient temperature: 50° C (The upper limit of motor specification. It
varies according to the product). No load for single phase motor, rated
load for three phase motor
・ Load condition: No external forced cooling (no air flow or cooling by
an external fan). Motor alone (there is no gear head or heat sink)
6. The 120° C (130° C) on the vertical axis of the graph is the
heat resistant class line of Class E (Class B). Indicates the
allowable winding temperature of the motor.
• Induction motor: "continuous rating" In the case of an
induction motor, regardless of the passage of time, it saturates
below the allowable winding temperature. Even if it runs
continuously, there is no concern about burnout. Therefore,
induction motors are "continuously rated".
• Reversible motor: "30 minutes rated" In the case of a
reversible motor, the allowable winding temperature is
reached around 30 minutes. Therefore, reversible motors are
"30 minutes rated". However, the rated time is just a guide.
The degree of temperature rise changes depending on the
ambient environment. This measurement condition is
specified under the condition that the heat generation is the
largest under the use condition of the motor. When using a
motor, judge based on the surface temperature of the motor
case is 9° C or less.
7. The causes of high motor temperature
If you are concerned about the temperature rise of
the motor, please review the ambient environment.
The following are examples of the causes of the
high temperature of the motor:
・ Ambient temperature is high
・ Motor shaft is restrained
・ The voltage is high
・ Voltage drop is large
・ Capacitor capacity is greater than rated
・ Frequent start and stop (including braking by
brake pack)
Changing the conditions, such as lowering the
ambient temperature, may reduce the temperature
rise.
8. 3. AC Motor Burnout Protection Function
If the temperature rise of the AC motor exceeds the
allowable winding temperature, it may burn or affect the
life. Therefore, some AC motors have built-in overheat
protection devices for burnout protection. The presence
or absence of the function can be checked on the motor
specification table or name plate.
Thermal protector (TP)
A thermal protector is a feature that shuts off the input to
the motor before it reaches the allowable winding
temperature. It senses the winding temperature inside
the motor and opens the contact point of the power line
and stops the motor if it exceeds a certain temperature.
When the winding temperature inside the motor drops
below a certain temperature, it will automatically recover
and resume operation.
9. With our AC motors, the ones marked “THERMALLY PROTECTED”
or “TP” on the specification table or nameplate are equipped with an
automatic reset type thermal protector. It is built into some motors
with mounting angle dimensions of 70mm to 104mm.
Operation image of automatic reset type thermal protector
The automatic reset type thermal protector automatically turns on /
off the contact depending on the temperature.
10. The figure below is an example of the operation of the
thermal protector.
Open: 130 ° C ± 5 ° C
Close: 82 ° C ± 5 ° C
The specification of operating temperature differs depending on the
installed product. In addition, the motor winding temperature when the
thermal protector operates is slightly higher than the above operating
temperature. When the thermal protector is open, the motor may seem to
stop but it may return automatically and start moving suddenly. For safety,
turn off the motor before work with personnel touching the device for
inspections.
11. Impedance protection (ZP)
Impedance protection is a function that increases the
impedance (resistance) of the motor's winding and can
reduce the increase in input even if the motor is
constrained. The impedance protection motor is designed
so that the temperature rise does not reach the allowable
winding temperature.
In our AC motors, those marked "IMPEDANCE
PROTECTED" or "ZP" on the specification table or
nameplate are impedance protected motors. This applies to
some motors with a mounting angle of 60 mm or less.
12. 4. Operating Cycle and Temperature Rise
Temperature rise of a motor is affected by operating conditions. We
will explain the temperature rise and the limitation of the operation
condition of intermittent operation of reversible motor and
intermittent operation using brake pack.
Intermittent operation and temperature rise of reversible motor
When a reversible motor is used intermittently for a short time, a
large current flows when the motor starts up or reverses, and heat
generation increases. On the other hand, when the motor stop time
is long, the natural cooling effect is large, so the temperature rise
can be suppressed.
• Reversible motor operation cycle and temperature rise
The temperature rise of our reversible motor is compared under
conditions of multiple driving cycles. The measurement assumes
the most severe condition in motor specification. Also, a heat sink is
attached to the motor. (Size: 165 x 165 mm, thickness: 5 mm,
material: aluminum).
13.
14. As in condition A and condition B, setting the stop time
equal to the operation time can suppress the temperature
rise of the motor. As in the condition C to condition F, the
shorter the stop time, the larger the temperature rise.
• Heat sink type and temperature rise
The temperature rise can be suppressed by reviewing how
to install the motor. In particular, the size and material of the
heat sink to be attached changes the temperature rise of
the motor as shown below.
15. If the size of the heat sink is increased like L · O or N · P,
the temperature rise can be suppressed. Heat dissipation
is enhanced by using aluminum, which has a higher
thermal conductivity than iron, such as M, N, O, and P,
and the motor temperature can be reduced.
If aluminum is painted black, as with P and Q, the
temperature rise can be suppressed.
16. Intermittent operation and temperature
rise by brake pack
In the operation principle of the brake pack, it was
explained that a large braking current flows when
the brake pack is stopped momentarily. If motor
operation / braking is repeated in a short time, the
temperature rise of the motor and brake pack will
be large, and the continuous use time will be
limited. The operation / braking repeated cycle
with a brake pack should be as follows.
17. Depending on the drive conditions, the temperature rise of the
motor will be large. Use it so that the surface temperature of the
motor case is 90 ° C or less.
18. 5. Life of AC Motor
The life of the AC motor is based on the grease life of the
bearing. If the grease degrades due to heat, the motor shaft
will become difficult to rotate.
Average grease life of AC motor bearings
The following table shows the average bearing grease life
time when using an AC motor under certain operating
conditions.
Grease life is affected by temperature rise due to ambient temperature
and operation cycle. Under the conditions in the above table, the
bearing grease life is halved as the bearing temperature rises by 15 ° C.
In contrast, the lower the temperature, the longer the life
19. Life of motor with electromagnetic brake
In the case of a motor with an electromagnetic brake, in addition to
the bearing grease life, the life of the electromagnetic brake is also
considered. If the electromagnetic brake is damaged, you can not
replace the electromagnetic brake alone. Every motor needs to be
replaced. When braking with allowable load inertia moment
repeatedly with a motor with electromagnetic brake, the lifetime of
the electromagnetic brake is 2 million times. Combined use of a
brake pack can extend the life of the electromagnetic brake.
20. 6. Life of Gearhead
The life of the gearhead is based on the mechanical
life of the bearing. The mechanical life is determined
by the load applied to the bearing and the rotational
speed.
Gearhead rated life
We define the rated life after defining certain operating
conditions. The following table is an example.
*The operating conditions are common to all series and
gearhead types.
21. Estimation of gear head life time
The life time in actual use is calculated by the following
equation taking into consideration the operating speed, load
amount, and load type. The smaller the load used for the
permissible torque, the longer the life.
L1: gearhead rated life time value
K1: rotational speed coefficient. Calculated from the input
rotation speed and the input rotation speed actually used.
K2: a load factor. It is obtained from the allowable torque of
each gearhead and the torque actually used. When a large load
is applied only at start and stop, as in the case of driving an
inertial body, the average torque is taken as the working torque.
f: Ia factor (service factor) that changes depending on the type
of load. Please see the table below for details.
22. In this estimation of the life time, the values of radial load
and axial load are also calculated in proportion to the load
factor. Therefore, when the load factor is 50%, the radial
and axial loads also have a 50% life. ・If the load factor is
low and the radial load or axial load is large, the life time will
be shorter than the one calculated by this formula.
https://www.orientalmotor.com/ac-motors-gear-
motors/technology/temperature-rise-and-life-of-an-ac-motor.html