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SOLID MECHANICS TUTORIAL – GEAR SYSTEMS(固体力学教程-齿轮系统)
SOLID MECHANICS
TUTORIAL – GEAR SYSTEMS
This work covers elements of the syllabus for the Edexcel module
21722P HNC/D Mechanical Principles OUTCOME 3.
On completion of this short tutorial you should be able to do the
following.
• Describe the different types of gear systems.
• Describe a simple gear train.
• Describe a compound gear rain.
• Describe three types of epicyclic gear boxes
• Solve gear box ratios.
• Calculate the input and outputs speeds and torques of gear
boxes.
• Calculate the holding torque on gear box cases
It is assumed that the student is already familiar with the following
concepts.
• Angular motion.
• Power transmission by a shaft.
All these above may be found in the pre-requisite tutorials.
© D.J.Dunn 1
1. INTRODUCTION
A gear box is a device for converting the speed of a shaft from one speed to another.
In the process the torque T is also changed. This can be done with pulley and chain
drives but gears have advantages over these system. A good example is that of winch
in which a motor with a high speed and low torque is geared down to turn the drum at
a low speed with a large torque. Similarly, a marine engine may use a reduction gear
box to reduce the speed of the engine to that of the propeller. Other examples are
motor vehicles, lathes, drills and many more. The diagram shows a typical winch that
has a reduction gear box built inside the drum.
Figure 1
This tutorial is not about the design of gears but it should be mentioned that there are
many types of gears, each with their own advantages. Here are some examples.
Figure 2
Gears are wheels which mesh with each ot
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