95 New Yorker with buzzing flasher relay

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On my 1995 New Yorker, the flasher relay, (under dash) buzzes if either
signal is activated or the hazzard switch is turned on. None of the
lights flash, nor does the signal on the dash. I changed the signal
relay with a new one from the local dealer but it does exactly the same
thing. Any ideas as to cause?    Jeff..