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

Topics covered in this site

• Executable gear domain
• Geometry
• Measurements
• Load capacity
• 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	0.20
Internal gear	Gear boundary line G5	kefn	0.20

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 α_P, 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 z_n = 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

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