When you are passing a lot of current through the bridge, the diodes take a little longer to turn off and for a very tiny instance in time, you effectively put a short circuit across the transformer. This does not harm the transformer but the result is very short spikes that manage to get through the smoothing and regulators. I know as I have seen them on a fast oscilloscope when I was designing heavy current power supplies. The cure was to place a capacitor across the AC input to the bridge, it has to be a high voltage working, say 400V minimum, believe me they are very large spikes!
A value around 220nF to 470nF should do the trick, some higher class equipments install the capacitors where others leave them out. If you see a capacitor across the bridge on a circuit then this is the reason it is there. High speed diodes help minimise the problem but it is still worth adding the cap if you expect high currents to be drawn. The diodes must be rated much higher than the expected current demand because you have to add the smoothing capacitor ripple current, I am not surprised they ask for 35A here but the additional bonus is that these larger bridge rectifiers have a metal base so enabling more effective heat transfer from the diodes to chassis.
Always put some heatsink compound on them as well and make sure they are bolted down firmly but not too tight!