Method for calculating influence of temperature on transmission error of cylindrical gear
A gear transmission and calculation method technology, applied in calculation, computer aided design, special data processing applications, etc., can solve problems affecting gear transmission performance, gear thermal deformation, etc.
Pending Publication Date: 2021-11-30
BEIJING UNIV OF TECH
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Problems solved by technology
In the process of cylindrical gear transmission, especially in the case of high speed, heavy load and unstable ambient temperature, the change of tooth body temperature will cause thermal deformation of the gear, which will affect the gear transmission performance
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[0020] In order to make the purpose, technical solution and advantages of the present invention clearer, the present invention will be further described below in conjunction with the accompanying drawings and derivation formulas.
[0021] The transmission error of the gear refers to the difference between the theoretical rotation angle and the actual rotation angle of the gear in the gear mechanism, such as figure 1 As shown, m 0 is the contact position of the gear at the last moment, m 1 is the theoretical contact position of the gear at the next moment, m′ i is the actual contact position of the gear at the next moment, θ 1 , θ 2 is the theoretical rotation angle of gear 1 and gear 2, θ′ 1 , θ' 2 is the actual rotation angle of gear 1 and gear 2, and the transmission error of the gear can be expressed by the angle error, or by the deformation δ on the meshing line n Indicates that the transmission error is represented by the displacement on the meshing line as shown in...
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The invention discloses a method for calculating influences of temperature on a transmission error of cylindrical gears, and belongs to the field of precision testing technology and instruments. Under the condition that environment temperature changes, in a meshing process of gears, friction heat flow generated by relative sliding between gear teeth causes complexity of a gear temperature field. Due to thermal expansion and cold contraction of gear materials, two kinds of deformation, namely thermal deformation generated under the influence of temperature and deformation generated under the action of contact stress, both influence a gear transmission error. According to the method, after basic parameters of gears and basic parameters of gear materials are known, a gear temperature field under environment temperature changes is calculated through a thermal network method, and then gear thermal deformation is obtained; bending deformation, shearing deformation, tooth root and tooth body deformation and contact deformation of the gears under the action of the contact stress are calculated; and the calculated thermal deformation and the deformation under the contact stress are combined to a meshing line to obtain deformation on the meshing line of the gears, and the gear transmission error under the influence of the temperature is finally obtained.
Description
technical field [0001] The invention relates to the field of precision testing technology and instruments, in particular to a calculation method for the influence of temperature on the transmission error of a cylindrical gear. Background technique [0002] As a key part, gears are widely used in many industries due to their high transmission efficiency and stable performance. In actual production, the transmission performance of the gear directly affects the service life of the entire equipment, especially in the field of precision machinery. The transmission error of the gear can evaluate the transmission performance of the gear well. The transmission error of the gear refers to the difference between the actual rotation angle and the theoretical rotation angle of the output shaft gear. Due to the change of the actual working environment temperature of the gear, especially under the condition of high speed and heavy load, the temperature field of the gear will change, and ...
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IPC IPC(8): G06F30/17G06F119/08G06F119/14
CPCG06F30/17G06F2119/08G06F2119/14
Inventor 汤洁郭恒石照耀
Owner BEIJING UNIV OF TECH