The design and manufacturing accuracy of sprockets directly affects the performance and stability of the entire transmission system. Among them, the design calculation of the sprocket indexing circle is particularly crucial. In this article, we will analyze the calculation formula of the sprocket indexing circle and its related parameters in detail.
The sprocket indexing circle refers to an imaginary circle between the tooth groove and the tooth top on the sprocket, which is an important reference circle in the sprocket design.
The formula for calculating the diameter of the sprocket indexing circle is: dp = dm + 2 z t k (δ
Among them, dp represents the outer diameter of the sprocket indexing circle, dm represents the inner diameter of the sprocket indexing circle, z represents the number of teeth of the sprocket, t represents the index circle modulus of the sprocket, δ represents the angle of the tooth top circle of the sprocket, represents the angle of the tooth root circle of the sprocket, and k represents the material parameters, and its value range is generally 08 to 12 between.
In this formula, the selection and determination of each parameter need to be carried out according to the specific sprocket standard and design requirements.
For example, the number of teeth z of the sprocket should be determined according to the transmission ratio and the size of the sprocket, and the indexing circle modulus t is related to the size and strength requirements of the sprocket. At the same time, the angle of the tooth top circle δ and the angle of the tooth root circle depend on the tooth shape and strength requirements of the sprocket.
In addition to the diameter of the indexing circle of the sprocket, the diameter of the tooth tip circle and the diameter of the tooth root circle of the sprocket can also be calculated by the corresponding formula. The formula for calculating the diameter of the tooth crest circle is: da = dp + 2 m z + 2), where m is the pitch of the chain. The formula for calculating the diameter of the tooth root circle is: df = dp - 2 m z + 25)。
It should be noted that in the calculation process, the unit unity of each parameter and the accuracy of the calculation should be ensured. At the same time, for different sprocket materials and manufacturing processes, the value of material parameter k may be different, which needs to be adjusted according to the actual situation.
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