A wood stand for a cat hammock can be built from wooden dowels, boards cut to length, or a sheet of plywood or some other material cut to the right shape.
A PVC stand for a cat hammock is built from PVC pipe. PVC is generally used for lawn irrigation and can be put together using a variety of connectors.
Some entertaining videos of what cats do when they want to sleep or fall asleep.
Some DIY cat hammock projects re-purpose existing items to function as stands or simply attach the hammock to an existing structure.