Well its nothing to do with the computer. The printer will not boot so nothing you do with the computer is going to do anything.
Yes - it sounds as though something is kicking in some sort of short circuit protection and shutting it back down. Could very well be something else though such as a failing power supply, failing mainboard, head gone bad. Hard telling for certain but if you are not getting an error message on the display and it will not finish booting up then you are going to need to get into some in depth troubleshooting at the component level with a good digital multi-meter.
The attached documents should get you started on troubleshooting things like verifying the power supply, key resistors, etc. Keep in mind - this gets into very advanced troubleshooting far beyond what most who run one of these machines should be attempting. Doing something wrong like powering it with the wrong bit disconnected or not having some connector properly plugged in can make things far worse. You should also download the "JV33" bible from the other thread on here. That will have the service manual which also gives more troubleshooting and more specs for things that you can check and verify.