Index circle diameter: d=mz base circle diameter: db=dcosαn tooth root circle diameter: df=d-2(ha c)m tooth tip circle diameter: da=d 2ham(1) formation of involute and its mathematics The relationship [1] involute is formed as shown. The straight line nn is tangent to the base circle, and the pure rolling without slip on the base circle, the polar coordinate equation of the involute of any point on the straight line nn: AK is called the involute of the base circle. Where θ=∠AOK is called the spread angle of the involute AK segment, and α is the pressure angle of the K point on the involute. Where rb is the radius of the base circle and r is the distance from the K point on the involute to the center of the base circle.
r=rb/cosαk, θk=invαk=tanαk-αk involute formation (2) pro/e involute cylindrical gear modeling process [2] accurate three-dimensional modeling of gear teeth is dynamic simulation of gear mechanism, NC The premise of machining, interference testing, and finite element analysis, the shape of the teeth must be controlled by the involute equation.
Set the parameters in the submenu parameters under the main menu Tools to increase the parameter modulus m, the number of teeth z, the pressure angle alp, the addendum circle da, the root circle df, the base circle db, the index circle d. Then under the submenu relations Enter the following relationship: d=mzdb=dcos(alph)df=d-2(1.25m)da=d 2m (where the top height factor is 1 and the radial gap coefficient is 0.25) The involute uses a Cartesian coordinate system , the equation is: afa=60tx=(dbcos(afa) πdbafasin(afa)/180)/2y=(dbsin(afa)-πdbafacos(afa)/180)/2click [insert reference curve]→[from equation], Enter the involute equation to generate an involute. From the basic knowledge of mechanical principles, there is no involute in the base circle. When the number of teeth z>41, df>db, the entire tooth profile of the gear is all involute; and when the number of teeth z<41, df
Pro/Program is a programmable tool provided by Pro/E.
Enter the relationship between RELATIONS and ENDRELATIONS of the program, close and save the file. According to the information prompt, input the number of teeth to 63 and the modulus to 4, and the system automatically regenerates the model. Such as.
System Dynamic Regeneration Model 2 Dynamic Simulation of the Gear Mechanism Before the mechanism is dynamically simulated, ensure that the gears are properly installed, connected by pins, and establish the reference and reference axes for the center-to-center distance between the gears before assembly for alignment during assembly [4] . When assembling the part, the dialog box as shown is automatically popped up. For the connection (pin connection), two constraints are required to refer to the assembly part. After the assembly is completed, the dynamic simulation is entered.
(1) In the submenu under the main menu Applications, select Mechanism. After entering the simulation interface, click the gear pair tool on the right toolbar or select Gears under the Mechanism menu to directly define a pair of gear pair relationships. The gear ratio is also the index circle. For the diameter ratio, enter the two-dimension circle diameter. After completing the setting of the servo motor, select ServoMotors under Mechanic and click New to select the connecting axis. Click the Profile tab to select the Velocity of the servo motor in the Specification, select the constant input value 50 for Magnitude, and click Ok to complete. In the Analyses, kinematics analysis can be set by default, and the "run" button is clicked for dynamic simulation. Complete the engagement of a pair of gears.
Gear meshing (2) verifies that the input and output speeds match the theoretical calculations.
Perform an interference check to analyze the cause of the interference, whether it is an assembly problem or a design problem. Go back and review it.
This paper introduces the parametric design method of the gear mechanism in the Pro/E software environment. The methods and steps can be used for the parametric design of other parts. Dynamic simulation of the gears is also given.
Thanks to the seamless interface between the pro/e software and the Ansys software, the precise gear model enables dynamic simulation of the gear mechanism for more accurate results for future finite element analysis.
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