You can build a simple inverter by using a ne555. Use an H bridge configuration to 'double' the effective voltage change. Here is a simple schematic. Put your load instead of R1, which is just there for a test. For an effective 1k ohm load, the RMS voltage is about 20V. You probably want fuses and such, I haven't put anything like that in. Since you didn't specify the load, I couldn't pick the right transistors for you. Let me know if it works. I haven't built it.
I updated the schematic, and improved the range for the output. Also, the cap/resistor pair wasn't set up properly for 60Hz. I've fixed that.
Hmmm. Somebody below pointed out that there is a misconnection in Q2. Happened while I was cleaning up, probably. I fixed that in the new schematic. However, the one presented below by the same guy is simpler and cheaper. I'd go with that one.