Prediction method of cutting force in gear shaping of non-cylindrical gears
A prediction method, non-cylindrical technology, applied in instrument, geometric CAD, calculation, etc., can solve the problem of difficulty in accurately predicting the cutting force of non-cylindrical gear shaping
Active Publication Date: 2020-05-05
WUHAN UNIV OF TECH
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[0003] At present, the cutting force prediction methods mainly include cutting force empirical formula, mechanical theory model and theoretical cutting force model. The above three methods are difficult to accurately predict the cutting force in non-cylindrical gear shaping processing.
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[0067] In order to have a clearer understanding of the technical features, purposes and effects of the present invention, the specific implementation manners of the present invention will now be described in detail with reference to the accompanying drawings.
[0068] Here, taking a non-cylindrical rack and pinion drive with a known curve as an example, predict the non-cylindrical cutting force of gear shaping according to the above method.
[0069] The basic parameters of the gear are shown in Table 1:
[0070] Table 1 Basic parameters of non-cylindrical gears
[0071]
[0072] Arc length of pitch curve of non-cylindrical gear
[0073] Relative angle of shaper cutter R is the radius of the pitch circle of the gear shaper cutter.
[0074] The gear shaper cutter adopts the standard involute shaper cutter, and the basic parameters of the involute gear shaper cutter are: the modulus m is consistent with the calculated modulus of the non-cylindrical gear, and the number o...
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The invention relates to a method for predicting cutting force of non-cylindrical gear slotting machining. The method comprises the following steps of: calculating the contact area when the non-cylindrical gear and the slotting cutter are processed, and uniformly distributing enough data points in the contact area; and solving the coordinate transformation matrix according to the position relationof the non-cylindrical gear and the slotting cutter to be processed; transforming the points on the isometric curve family into points in the slotting cutter coordinate system through the coordinatetransformation matrix; in each cutting step of the slotting cutter, discriminating the coordinate transformation points to select the points of the workpiece in the slotting cutter; distributing a sufficient number of data points on the tooth top circle and the left and the right involute of the slotting cutter; in each cutting step, distinguishing the contact points between the shaping cutter andthe workpiece, and screening out the contact points between the slotting cutter and the workpiece; and obtaining the size of the cutting force based on the formula of the unit cutting force. The method can accurately predict the cutting force of the non-cylindrical gear slotting machining, and has the advantages of high calculation accuracy, high calculation efficiency and the like.
Description
technical field [0001] The invention relates to the field of non-cylindrical gear processing, more specifically, to a method for predicting cutting force of non-cylindrical gear shaping processing. Background technique [0002] Gears are the key basic parts of machinery for power and motion transmission. Non-cylindrical gears can realize parallel shaft variable transmission ratio transmission, and have many special transmission properties that non-cylindrical gears cannot achieve. They are very suitable for manufacturing mechanical transmission mechanisms with special functions, such as aerospace flight instruments, variable gear pumps, and machine tool indexing mechanisms. Wait. Gear shaping is an important manufacturing method for non-cylindrical gears. During the gear shaping process, the cutting force has an important impact on the life of the gear shaping tool, processing efficiency, and processing quality. How to accurately predict the cutting force is a problem that ...
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IPC IPC(8): G06F30/17G06F119/14
CPCG06F30/17G06F2119/06
Inventor 韩星会华林王利波
Owner WUHAN UNIV OF TECH