ZAR3 / ZAR3+
Software for Worm Gear Calculation
(C) Copyright 1993-2013 by HEXAGON Software, Berlin
Bases for Calculation
ZAR3 calculates all dimensions of worm gears with ZI, ZA, ZK, ZN or ZH worms, as well as efficiency, tooth forces and the safety margins against root fatigue fracture and pitting.
In pre-dimensioning recommendations are made for axial distance, modulus and number of teeth based on gear ratio, drive power, drive rotational speed and material. The recommendations can be used in the following geometry and strength calculations.
In dimensioning you can adjust the recommended values to match available sizes or company standards. Or by varying the axial distance ratio and addendum modification you can determine the optimum worm gear for your application.
The strength calculation computes the factors SF (fatigue fracture) and SH (pitting) along with tooth forces on the worm and worm gear, as well as the efficiency of the gear.
ZAR3 calculates the toothing efficiency, toothing and idling loss of power. The program provides recommended values and help graphics for determination of the tooth friction value. ZAR3 generates diagrams of efficiency as function of lubricant viscosity and temperature.
Material Data Base
The program already includes a data base containing the most important gear materials and their values. Users of the ZAR1+ spur gear and ZAR2 bevel gear programs can access this as a common data base.
Axial and radial forces, as well as tangential force and normal force are calculated. These values can be transfered to the WL1/WL1+ software for shaft calculation.
The extended version ZAR3+ provides additional functions:
ZAR3+ generates true-scale drawing of worm and worm gear.
ZAR3+ provides an additional input window for modifications of tooth height factors and profile shift coefficient x. These functions are useful for design of complementary gears of steel worm and plastic worm gear.
ZAR3+ calculates tooth thickness and over pin/ball diameters (OPD). You can enter pin diameter and flank tolerances or select from tolerance system according to DIN 3967.
A true-scale drawing of worm and worm gear, as well as tables with the toothing data can be exported to CAD via the DXF or IGES interfaces. The drawings can of course also be displayed on screen and printed out.
Text printout can be generated as HTML table and exported to Excel. Input data may be loaded from an Excel worksheet.
HEXAGON Help System
For all entries a help text or auxiliary picture can be displayed. For example, there are diagrams for input of the tooth friction value Áz0 in relation to lubricant and average slide speed.
There are also diagrams for optimizing the diameter-to-center distance ratio dm1/a in relation to fatigue stress or efficiency. Users can modify and append help texts and auxiliary pictures. When
error messages occur you can have an error description and remedy suggestion displayed.
Hardware and Software Requirements
ZAR3 is available as 32 bit and 64 bit application for Windows XP, Vista, Windows 7, Windows 8.
Scope of Delivery
CD-ROM with program, sample data, help text and auxiliary pictures
License agreement for indefinite period of time with update information.
Information and Update Service
HEXAGON Software is continuously improved and updated. Licensed users can obtain new versions at the update price. Each program is provided with an individual license number and user files. No extra charge is made to registered users for telephonic support and hotline use.