Hmm, try clearing any static out by completely unplugging your computer and holding the power button for 1 minute. Then, plug everything back in, press the power button, and see if the screen appears.
Unplug everything again and try the following:
You can also try shaking your computer a little bit to see if any loose pieces of material or dust are blocking some integral component. Once that is done, use compressed air [comes in a can] and clean out the inside...mainly the fan area.