Saeculum Machinarum, Saeculum Vaporis (age of steam)
The other common synonym for saeculum is aevum, or occasionally aetas is used in this sense.
If you wanted to be bitterly humorous, you could call it like Aevum Vapidum, literally the steaming age, but the connotation is of of exhaustion, being worn out, or empty, like English "vapid."
[A]Era, curiously, isn't used in Latin as it is in English, though it is sort of a Latin word.