Cylindrical gears according to DIN 3990 / ISO 6336 and further standards

• Geometry of cylindrical gear pairs - external and internal gears, spur and helical gears - according to DIN 3960, DIN 3961, DIN 3964, DIN 3967, DIN 3977 and DIN 868
• Extended range of possible profile shift modification (addendum modification)
• Specification of working centre distance or calculation of this from given profile shift coefficients
• Consideration of profile shift modification with optimization function for balanced specific sliding
• Allowances for tooth thickness and centre distance can be selected from a database or can be defined individually
• Addendum chamfer can be considered in the calculation
• Standardised basic rack profiles for tools according to ISO 53, DIN 867 and DIN 3972 are selectable or individually definable, protuberance tools with and without allowance, dimensioning function for special basic rack profiles
• Deep tooth form, short cut tooth form
• Type of tools: hob, gear shaper cutter and constructed involute
• Calculation of the test dimensions
• Calculation of the tooth thickness allowances based on measured values or given test dimensions
• Check for meshing interferences on the basis of the accurate tooth form
• Display of the accurate calculated tooth form with animation/simulation of the tooth mesh
• Geometry calculation of internal cylindrical gears with equal number of teeth is also possible (geometry of involute splines)
• Calculation of load capacity according to DIN 3990 method B, ISO 6336 method B and ISO/TR 13989 (scuffing) with integrated material and lubricant database
• Diagram of flash or rather contact temperature
• Consideration of grinding notches
• Optimal hardening depth, manual input of hardening depth and consideration in the load capacity calculation
• Selection of mode of operation is possible for swelling, alternating and oscillating
• Power loss by tooth friction, gearing efficiency according to Niemann
• Calculation of the safeties for fatigue or limited life strength and static strength (tooth root, flank/pitting, scuffing)
• Configurable report with detailed results in HTML and PDF format
• Output of CAD data via eAssistant CAD-PlugIns or DXF interface

This calculation module allows the simple and fast calculation of the geometry of cylindrical gear pairs according to DIN 3960, DIN 3961, DIN 3964, DIN 3967, DIN 3977 and DIN 868. Profile shift modification, addendum chamfer and allowances will be taken into consideration. Allowances of tooth thickness and centre distance can be comfortably selected from the database. For the profile shift modification factor, an optimization function for balanced specific sliding is available. For the calculation, the working centre distance can be specified or can be calculated from given profile shift coefficients. Different standardised basic rack profiles for tools according to ISO 53, DIN 867 and DIN 3972 can be selected or defined individually for the calculation. Deep tooth form and short cut tooth form are possible. Furthermore, the test dimensions will be calculated. For these, the required number of the teeth for span measurement and the diameter of ball or pin will be determined automatically by the program or can be entered by the user. In addition, a backward calculation of the tooth thickness allowances from given test dimensions is also possible.

A special highlight of the calculation module is the display of the accurate calculated tooth form with animation/simulation of the tooth mesh. For this representation, the lower, middle and upper allowances for the tooth thickness, the tip circle diameters and centre distance can be selected. Additional, the program gives hints and warnings (e.g., for possible meshing interferences). A check of meshing interferences will occur in the background on the basis of the accurate tooth form. 

In addition to the geometry calculation, the load capacity according to DIN 3990 method B is also available. Herewith the safeties for fatigue or limited life strength and static strength can be calculated. The calculation of surface durability (pitting), tooth bending strength and scuffing according the flash and integral temperature method are executed. A diagram for the contact temperature over the length of the line of action is also available.

Alternatively, the load capacity calculation of the surface durability (pitting) and tooth bending strength according to ISO 6336 (2008) method B is selectable. For the scuffing load capacity the ISO/TR 13989 is integrated.

The materials and the lubricant can be comfortably selected from the database. Furthermore, other effects (grinding notches, mode of operation, etc.) can be taken into consideration.

The redo/undo function and the calculation report in HTML and PDF are also available in this module.