The invention discloses a design method for a shrinkage tooth curved-tooth noncircular bevel gear. A knife disk of a standard spiral bevel gear is used as a generating gear, a real tooth surface of the curved-tooth noncircular bevel gear is obtained according to the meshing principle and spatial coordinate transformation, and the generating principle of the curved-tooth noncircular bevel gear is similar to that of a shrinkage tooth spiral bevel gear. The shrinkage tooth curved-tooth noncircular bevel gear designed by the method has a series of advantages that bearing capacity is high, contact ratio is high, and the tooth surface contact area can be regulated; meanwhile, gear ratio transmission of intersecting shafts is achieved, and what is more important is that the shrinkage tooth curved-tooth noncircular bevel gear can be efficiently generated and processed on a five-axis curved-tooth bevel gear milling machine.

Design method for shrinkage tooth curved-tooth noncircular bevel gear

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An Accurate Approach to Modeling the Genuine Tooth Surfaces of the Face-Milled Spiral Bevel and Hypoid Gears

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.

Method for predicting cutting force of non-cylindrical gear slotting machining

We present a design method of digitized conjugating surface using MATLAB. A mathematical model of conjugating surface and its solving steps are proposed according to conjugating principle and computing feature of MATLAB. A method to extract 1 dimensional arrays from a 3 dimensional array is invented, and the result is optimized by a simple function of MATLAB during the design process. Finally, an example of design and simulation is also given.

Digitized Conjugating Surface Design and Simulation Using MATLAB

The invention relates to a numerical control cam milling machine milling speed optimizing control method. By means of the method, the control parameter of a numerical control cam milling machine for keeping constant milling removing rate is generated, the milling load of the cam milling machine is controlled to be constant, and the method belongs to the technical field of camshaft machining. The method is characterized in that three-dimensional mapping software with a size driving function is adopted to simulate the cam milling process, the milling size of the cam rotating unit angle is calculated to further calculate the milling removing rate distribution, and the rotating speed of the numerical control cam milling C shaft is compensated by the milling removing rate distribution to enable the milling removing rate to be constant or approach constant. The method solves the problem of severe milling load unevenness caused by the constant angular speed milling commonly used by the numerical control cam milling, the peak milling removing rate at the position higher than the base circle is adjusted to be identical with that of the base circle, the milling removing rate at the position lower than the base circle is adjusted to be identical with or slightly lower than that of the base circle, so that the cam milling machine can conduct milling evenly, hardware of the numerical control cam milling machine is not required to be changed, and the machining efficiency of the cam milling machine can be greatly improved. The control parameter is only required to be made once for one product and can be used permanently when imported into the numerical control program.

Numerical control cam milling machine milling speed optimizing control method

The invention relates to a gear shaping method based on the equal cutting area, which is characterized in that gear shaping of a gear aims to realize shaping with equal cutting force by means of gear shaping with equal cutting area. The gear shaping method has the advantages that the method can be used only by adding corresponding numerical control codes without changing a main structure of a machine tool, main driving force of the machine tool can be fully used in a rough shaping phase, instability of the machine tool is reduced, shaping time is shortened, shaping cost is reduced, and shaping efficiency is improved.

Gear shaping method based on equal cutting area

The machining coordinate system of spiral bevel gear milling machine tool is established based on the principle of solving conjugate surfaces and the machining mechanism of spiral bevel gear. The digitized conjugate tooth surface model of spiral bevel gear also is established with the rotary projection principle, the spatial coordinate transformation principle, and solving the meshing equation of spiral bevel gears. The three dimensional coordinate value of points on the tooth surfaces of one pair of given spiral bevel gears is calculated with the sequential quadratic programming method and mixed integer optimization with the optimization design software, iSIGHT. Finally, the three dimensional model of tooth surface of the bull spiral bevel gear also are simulated using the Non-Uniform Rational B-Splines method with the three dimensional design software, Pro/ENGINEER, and the simulation result can meets the desired design goal.

Dequan Liu

Papers

Gear shaping method based on equal cutting area

Digitized conjugate tooth surface model of spiral bevel gear and its simulation