Determine the overall efficiency of a 4 into one gearbox configuration

In summary, the conversation revolves around determining the overall efficiency of a 4-in-1 gearbox configuration. The configuration consists of four gearboxes with 90% efficiency each, driving a central ring gear attached to a rotating shaft. The question is posed about the overall power transfer efficiency and the conversation ends with the suggestion to create a Free Body Diagram for each gearbox to gain a better understanding of the torque and power flow in the system.
  • #1
Pinon1977
126
4
TL;DR Summary
Trying to determine the overall efficiency of a 4 into one gearbox configuration
So I'm trying to figure out the overall efficiency of this particular gear system. I have four gearboxes, each stationary in and of themselves, all driving a central ring gear which is permanently attached to a rotating shaft. Please see the attached sketch. If each one of the perimeter gearboxes is 90% efficient and they're directly feeding a ring gear that is attached permanently to a drive shaft, what would the overall power transfer efficiency be? One more piece of information, each gearbox has an input power of one horsepower. My first guesstimation would be that one horsepower reduced by 90% efficiency would be 9 horsepower.. but then when you multiply 9 x .9 x .9 v .9?
IMG_20230625_211620287.jpg
 
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  • #2
Pinon1977 said:
TL;DR Summary: Trying to determine the overall efficiency of a 4 into one gearbox configuration

My first guesstimation would be that one horsepower reduced by 90% efficiency would be 9 horsepower.
If only we could be so lucky, but we do not allow the discussion of free energy machines on PF.

At 90% efficiency, for each 1 kW that flows from an input shaft, through one gearbox, to a common output shaft, 900 watt will appear at the output. With four input shafts, the output power will be 4 * 1 kW * 0.9 = 3.6 kW.
 
  • #3
Always the same advice:
jack action said:
Do a Free Body Diagram (FBD) on each gearbox to get the answer.
It would be really beneficial for you to do so. It would help you understand how the torque and power flow through your system.
 

Related to Determine the overall efficiency of a 4 into one gearbox configuration

1. What is a 4 into one gearbox configuration?

A 4 into one gearbox configuration refers to a type of transmission system where four input shafts or gears are combined to drive a single output shaft. This configuration is commonly used to manage power distribution and torque in various mechanical systems, such as automotive or industrial machinery.

2. How do you calculate the overall efficiency of a gearbox?

The overall efficiency of a gearbox is calculated by dividing the output power by the input power and then multiplying by 100 to get a percentage. Mathematically, it can be expressed as: Efficiency (%) = (Output Power / Input Power) × 100. Both the input and output power should be measured in the same units, typically watts or horsepower.

3. What factors affect the efficiency of a 4 into one gearbox configuration?

Several factors can affect the efficiency of a 4 into one gearbox configuration, including gear meshing losses, bearing friction, lubrication quality, alignment of gears, material properties, and load conditions. Proper maintenance and high-quality components can help minimize these losses and improve efficiency.

4. What is a typical efficiency range for a 4 into one gearbox configuration?

The efficiency of a 4 into one gearbox configuration typically ranges from 90% to 98%, depending on the design, quality of components, and operating conditions. High-precision and well-maintained gearboxes tend to be on the higher end of this efficiency range.

5. How can the efficiency of a 4 into one gearbox configuration be improved?

To improve the efficiency of a 4 into one gearbox configuration, you can use high-quality, low-friction bearings and gears, ensure proper lubrication, maintain accurate alignment of components, and regularly inspect and maintain the gearbox to prevent wear and tear. Reducing load fluctuations and operating the gearbox within its optimal load range can also enhance efficiency.

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