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It gets rid of the traditional line and face shape, and adopts 3D solid shape to present the model in front of the designer. ANSYS is an engineering analysis software, which is mainly used to analyze the reaction of mechanical structural system after being loaded, such as displacement, stress, deformation, etc., according to the reaction to determine whether it meets the design requirements.
112Pro/E and ANSYS connection ANSYS and Pro/E can exchange graphic data through data interface for data sharing. The specific connection method is as follows: Run the sub-module ANSADMINUtility under ANSYS to configure the connection Pro/E option, then the files config1anson and protk1dat will be generated in the installation path of ANSYS and Pro/E respectively, and the data between Pro/E and ANSYS can be performed. exchange. There are two ways to perform finite element analysis: one is to execute Part\AN2SYSGeom in Pro/E to start data transfer; the other is to execute File\Import\Pro\E import file in ANSYS.
2 Helical Gear Modeling The profile of the helical gear is an involute helicoid, which is equivalent to a curved surface formed by a myriad of involutes arranged along a spiral. Therefore, the key to modeling is to determine the exact spiral and involute. Line and transition curves.
The basic parameters of a given helical gear are as follows: pinion (right-handed) tooth number z1=12, large gear (left-handed) z2=15, helix angle β=15°, normal modulus mn=2 mm, normal pressure angle αn= 20°, the normal tooth height coefficient h3an=1, the normal head clearance coefficient c3n=0125, the tooth width B=15. The following describes the modeling process with a pinion as an example.
211 sets the helical gear related parameter 212 to add the gear reference circle relationship into the two-dimensional sketching environment, and draws four concentric circles of any size in the sketching plane. Select the "Tools" → "Relationships" option, the system pops up the "Relationship" dialog box; in the "Relationships" dialog box, add the relationship between the gear index circle diameter, the base circle diameter, etc., specifically through these relationships to generate the base circle of the gear.
213 Creating an involute Pro/E The involute can be generated directly by using the involute equation. The specific process: select “insert†→ “model datum†→ “curve (V)†in the toolbar, pop-up menu management Select the "From Equation" option; select the Cartesian coordinate system as the defined coordinate system, enter the following involute equation in the pop-up Notepad, and confirm that an involute is generated.
Use the tool to create a datum axis, a symmetry plane, etc., using "mirror" to generate another involute.
214 Creating a Gear Spiral Curve The spiral curve can also be generated by a spiral equation, which is created in a similar way to the involute creation method. Select the column coordinates as the definition coordinate system, and enter the following equation in the Notepad Editor to get a spiral.
215 Creating the root shape of the tooth root feature Using the button in the toolbar, the tooth root circle is used as the stretching circle, the stretching method is symmetric stretching, and the stretching length is B, and the root root entity is created.
216 tooth root transition curve Click the sketch button, select one side of the root circle as the sketch plane, enter the sketch; select the root circle, the tip circle, two involute lines, hit the round chamfer button, the root The circles are joined to the involute and the two rounds are equalized; click the relationship option in the tool to add the following relationship: if
Hax>=1d9=01383mnendifif
Hax<1d9=01463mnendif generates the tooth profile curve of the end according to the above; then selects the feature operation in the edit, and uses the translation and rotation to generate the tooth profile curve on the other side.
217 gear model generation using these two tooth shapes to "scan mix" along the spiral
Produce a tooth, copy or array the tooth to generate the teeth needed for the study. Modify the parameters at the same time to generate another gear.
Engagement of the 218 gear set assembly gears The two gears are standard mounted in the Pro/E Assembly file. The meshing is as shown, only the contact is not deformed, and interference can be checked by Analysis\ModelAnalysis\GlobalInterference.
3 Contact stress analysis Contact is a kind of nonlinear behavior, which is a special and important subset of the nonlinear type of state change. It is very important for the gear to analyze its contact stress.
The 311 selection material and the meshed finite element mesh model introduce the meshing model of the helical gear into AN2SYS. The material is 20CrNi2M0A, surface carburizing and quenching treatment, the surface hardness is HRC57～61, the elastic modulus is 206MPa, the Poisson's ratio is 013, the density is 7194×103kg/m3, and the allowable contact stress is 1238MPa. This paper uses free meshing. (FreeMes2hing) method Four-sided solid unit for finite element automatic meshing of gear pairs.
312 boundary conditions and loads (1) boundary conditions. The driving gear (large gear) is coupled to the shaft by a single key, and the gear is rotated together with the shaft by external input torque, and the driven gear (pinion) is rotated by meshing with the driving gear. In this paper, the drive gear establishes a fixed constraint and establishes a constraint on the driven gear.
(2) Load. The driving gear is rotated by the external input torque, so the input torque is 120Nm. The specific constraints and the loading grid are shown.
313 Computational and Post-Processing For nonlinear problems, ANSYS's equation solver uses a linear approximation solution with a correction that divides the load into a series of load vectors that can be in several load steps or in several substeps of a load step. Apply. ANSYS uses the Newton-Raphson equilibrium iterative algorithm to force the equilibrium solution to reach equilibrium convergence (within a certain tolerance range) at the end of each load increment. Before each solution, the complete NR method estimates the residual vector, which is the difference between the restoring force (the load corresponding to the unit stress) and the applied load, and then linearly solves using the unbalanced load and checks the convergence. If the convergence criterion is not met, re-estimate the unbalanced load, modify the stiffness matrix, and obtain a new solution until the problem converges. In this example, static analysis is performed using a load step of 5 substeps (others are default values).
The rotational torque is applied and the gear is deformed at the meshing. Using the powerful solution function of ANSYS software, the stress and strain of each node can be calculated and reflected by the different colors on the solid model.
The calculation results can be seen from the stress diagram. The maximum stress generated by the gear is 18143 MPa, which occurs at the edge of the root, which is consistent with the actual situation. Check the relevant manual, compared with the calculation results, the stress on the gear does not exceed the allowable stress of the material.
The check of the gear meets the strength requirements.
4 Conclusion This paper introduces the precise modeling and contact stress analysis method of the helical gear. The software data exchange interface is used to demonstrate the combination of computer-aided design and computer-aided engineering, which provides product design and analysis. A new idea.
Research on New Gear Dimensional Simulation and Finite Element Analysis
1 Modeling and Finite Element Analysis Environment 111 Software Introduction Pro/Engineer3D entity design system was developed by PTC (Parameter Technology Company). Since its introduction in 1989, more than 20 versions have been updated to make the interface more friendly and more powerful. Become the most popular CAD/CAM system in the industry. Pro/Engineer has its own unique parametric design concept. Designed with a single database and is a fully relevant software.