This article presents an efficient and direct method for the synthesis of compound planetary differential gear trains for the generation of specified multiple speed ratios. It is a train-value method that utilizes the train values of the integrated train components of the systems to form design equations which are solved for the tooth numbers of the gears, the number of mating gear sets and the number of external contacts in the system. Application examples, including vehicle differential transmission units, rear-end differentials with unit and fractional speed ratios, multi-input functions generators and robot wrist joints are given.

IMTS is back in town, From Sept. 7 through Sept. 15, the largest industrial exhibition in the Western Hemisphere will fill one of the largest exhibition centers in the world. A show of this magnitude is a little like the 500 lb. gorilla in your dining room - hard to ignore.

A medieval philosopher once said that if he knew for certain the world was to end tomorrow, he would be sure to take time to plant an apple tree in his garden today. The recent events in the world financial capitals have seemed a bit like prior notice of something cataclysmic, but like the philosopher, we can still find some reasons for hope in the face of an uncertain future. The good news for our industry is that four important efforts on the part of various organizations promise to have long-term positive effects on both the gear and machine tool businesses.

The art of gear hobbing has advanced dramatically since the development and introduction of unique machine and tool features such as no backlash, super rigidity, automatic loading of cutting tools, CNC controls, additional machine power and improved cutter materials and coatings. It is essential to utilize all these features to run the machine economically.

It is with great anticipation that we move closer to AGMA's Fall Technical Conference and Gear Expo '87, which is being held on Oct. 4-6 in Cincinnati, OH. This bold undertaking by both AGMA and the exhibitors in the Expo's 160 booths is an attempt to make a major change in the industry's approach to the exposition of gear manufacturing equipment. By combining the Expo with the Fall Technical Conference, those involved in gear manufacturing will have the opportunity to review the latest equipment, trends, and most innovative ideas, while keeping up with the newest technology in the industry.

For the last few years, the market has been tough for the U.S. gear industry. That statement will cause no one any surprise. The debate is about what to do. One sure sign of this is the enormous attention Congress and the federal government are now placing on "competitiveness."

A change has taken place within the industry that is going to have an enormous effect on the marketing, sales, and purchasing of gear manufacturing and related equipment. This change was the American Gear Manufacturers' Association, first biennial combination technical conference and machine tool minishow.

"It's show time!" Ready or not, on Sept 3, the biennial International Machine Tool Show opens at McCormick Place, Chicago. Planning a show that encompasses displays from over 1000 companies from 29 nations and an associated technical conference presenting more than 200 papers on 50 topics has not been without its problems.

The last two months have been both a time of difficulty and of growth for Gear Technology. Unexpectedly, I found myself in the hospital having surgery, and consequently out of commission for several weeks. At the same time, two individuals on our staff lost family members, and most of this period saw us getting ready for this preshow IMTS issue while being seriously short-staffed.

September 3-11 the 1986 International Machine Tool Show, "The World of Manufacturing Technology", will be held at the McCormick Place Exposition Center in Chicago. More that 1000 exhibits from over thirty countries are planned. These exhibits will present a complete range of machine-tool products from 2-story high presses to complete manufacturing systems, lathes, lasers, CAD/CAM systems and robotics.