First determine..if it is indeed the motor that is fried. Do this by not using the caraffe. Plug in the motor and run it by itself. If it runs fine without smoking again..It is the caraffe that is defective.
If its the motor you are out of luck completely. Jack Lalanne is out of business.
If it is the caraffe..which I suspect it is not...oil the rim of the bearing that is on the outside of your caraffe ..it surrounds the knurled part that is inserted into the blender...even if you are able to get the motor repaired..get in the habit of oiling the caraffe bearing after each time you use it. If you dont it will fail within months to a year of use
Lalanne had they made in China..and using unsealed bearinga that rust out and the contents of the blender come out!! So I discovere dthat oiling that part each time after use..keeps my blender running smoothly.
You might want to take yoru motor to a small appliance repairman..he might find something simple happened.. like a loose wire connection inside! If he does...you have a simple solution and a motor that works!
Remember to oil the bearing a couple drops each time after use...and if yoru caraffe ever fails you can buy a new one..( Oil that one too!) at Cooking Toys..you can google for the address [email protected]