# CylGear

## Application for calculation of Cylindrical Involute Gears ### CylGear calculates

• executable gear domain and its boundary lines
• dimensioning of a gear pair
• gear geometry according to standard DIN 3960
• gear measurements as chordal thickness, span width and dimension over pins
• contact path and profile points for profile grinding
• the tooth forces and the reaction forces in the supports
• determination of the dynamic model
• load capacity according to standard ISO 6336
• dimensioning, verification and load capacity of a planetary gear train

### User Interface

CylGear is a multi-lingual application for Microsoft Windows operating system. The user can select a language for the user interface and output:

• Dutch
• English
• French
• German
The user interface is very user friendly: the application guides the user through each calculation sequence.

### Identification of a Calculation Project

At the start of a new calculation project, a dialog box opens for input of data for the identification of the calculation project. ### Gear Definition

A gear pair is defined by a standard theoretical basic rack and by seven independent geometrical parameters. The calculation is always being done for a pinion and gear pair.

### Theoretical Basic Rack

The theoretical basic rack is defined by the following data:

 pressure angle αP 20.00 ° addendum coefficient khaP 1.00 dedendum coefficient khfP 1.25 tooth-root radius coefficient kρfP 0.30

Input of basic rack data with following dialog: With this dialog the user can modify the the basic rack parameters and store them as default in the registry with a simple mouse click on the command button Default.

### Executable Gear Domain

The basic gear rules, the theoretical basic rack and two coefficients for the minimal normal crest width for external gear, respectively minimal normal root space width for internal gear, are defining the executable gear domain. The application calculates the boundary lines. Required input are the following parameters:

 External gear Gear boundary line G1 ksan 0.2 Internal gear Gear boundary line G5 kefn 0.2

This two parameters are stored in the system registry to be used as default in a next calculation. The boundary lines are calculated for the given basic rack data as pressure angle αP, addendum and dedendum coefficients. The boundary lines enclosing the executable gear domain are drawn in red color in the diagram in the dialog below: The gear boundary diagram can be printed by a click on the command button Print.

For a pressure angle 20 ° and a virtual number of teeth in normal section one should particularly in the range zn = 9 ... 60 teeth pay attention to respect the gear boundary lines. That's exactly what the application is doing for you: if a gear boundary condition is not satisfied a message box will warn you.

Definition of gear boundary lines:

External gear:

 Boundary line G1 xG1 max applicable profile shift coefficient from the condition minimum normal crest width san = ksan mn Boundary line G2 xG2 min profile shift coefficient to apply in order to avoid tooth-root undercut Boundary line G3 xG3 min profile shift coefficient from the condition da >= db + 2 mn

Internal gear:

 Boundary line G4 xG4 max profile shift coefficient from the condition da <= db Boundary line G5 xG5 min profile shift coefficient from the condition minimum normal tooth-root space width efn = kefn mn