A Construction Method of Conical Helical Gears with Convex and Concave Circular Section Point Contacts
A construction method and circular cross-section technology, applied in the direction of belts/chains/gears, components with teeth, hoisting devices, etc., can solve the problems of reduced transmission accuracy, limited minimum number of teeth, and easy deformation of hook rods, etc., to achieve reduction Sensitivity to assembly errors, impact reduction, smooth forward and reverse transition process
Active Publication Date: 2021-03-09
CHINA THREE GORGES UNIV
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Problems solved by technology
The main purpose of traditional industrial gear design is to achieve high-power transmission. Due to the limitation of undercut phenomenon in the manufacturing process, the minimum number of teeth and displacement must be considered in the design, resulting in the limitation of its application space, and the tooth profile is Complex 3D entities lead to cumbersome design
In the form of space transmission, the spiral bevel gear can also realize the power transmission of the space orthogonal axis, but its minimum number of teeth is limited, thus limiting its application in micro-mechanisms
In order to solve the limitation of space on the application of gears, wire gears based on the principle of space curve meshing came into being. However, the wire gears with hook rods as teeth are meshed through the convex and convex contact of the driving and driven wheels, and the requirements for assembly are relatively strict. , the hook rod is easily deformed during the transmission process, resulting in a decrease in transmission accuracy
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[0037] A method for constructing a conical helical gear with convex and concave circular section point contact, comprising the following steps:
[0038] Step 1, establish a right-hand regular space coordinate system, such as figure 1 As shown, first establish the fixture coordinate system S(o-x,y,z) and S(o-x p ,y p ,z p ), respectively called S0, Sp; establish the active coordinate system S(o-x 1 ,y 1 ,z 1 ) and the driven coordinate system S(o-x 2 ,y 2 ,z 2 ), called S 1 , S 2 ; Active coordinate system S 1 the z 1 Axis and slave coordinate system S 2 the z 2 The axis coincides with the rotation axis of the main and driven gears respectively; at the initial moment of meshing, S 1 and S 2 respectively with S 0 and S p coincide; 1 and ω 2 The constant angular velocity around the z-axis and z p The shaft rotates, and after the t step, the main and driven gears rotate respectively and In the space coordinate system, the z axis and z p Axis perpendicular,...
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The invention provides a method for constructing conical helical gears with convex-concave circular cross-section point contact, including the following steps: step 1, establishing a space coordinate system; The centerline of the tooth profile is a space conical helix, and the tooth profile centerline of the driven line tooth is obtained according to the tooth profile center line of the driving line and the conjugate meshing theory of the space curve; step 3, the tooth profile circle of the main and driven line gears is established Cross-section equation; step 4, establish the gear tooth surface of the driving and driven gears. The wire gear constructed by this method can realize the continuous transmission of the space orthogonal axis of the micro-mechanism.
Description
technical field [0001] The invention belongs to the field of gear transmission, and in particular relates to a method for constructing a conical helical gear with a convex-concave circular cross-section point contact. Background technique [0002] At present, the widely used transmission mechanisms (cams, belts, chains, gears) can achieve high power, large transmission ratio, and high power transmission, but small space and continuous transmission are very important for micro-electromechanical products. The main purpose of traditional industrial gear design is to achieve high-power transmission. Due to the limitation of undercut phenomenon in the manufacturing process, the minimum number of teeth and displacement must be considered in the design, resulting in the limitation of its application space, and the tooth profile is Complex three-dimensional entities lead to cumbersome design. In the form of space transmission, the spiral bevel gear can also realize the power transm...
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IPC IPC(8): F16H55/17G06F30/17
CPCF16H55/17G06F30/20
Inventor 何恩义何迪叶喜葱
Owner CHINA THREE GORGES UNIV