This is the Stahly Live Blade razor. There were several safety razors with vibrating heads over the years but the Stahly was probably the best-known. It was produced from the 1940’s into the 1970’s and had a reputation as a very well-designed and well-built razor. Some called it the Cadillac of safety razors.
Stahly made no grandiose claims of the razor being able to make hairs stand up like some modern razors (a claim that has since been thoroughly debunked). No, Stahly simply said the vibrating head helped reduced a razor blade’s tendency to catch on skin irregularities or dry spots.
The bottom of the razor’s handle was a knob that had a little torsion spring that the shaver wound up before shaving. The spring was connected to a crankshaft that was off-center to the razor’s head. After winding, the razor’s head would vibrate for about three minutes.
The Stahly’s razor three piece design was exceptionally well-engineered and shaved very well even without the vibrating feature. In fact, when I tried this sample I think I got a better shave with the vibrator off than with it on.