One thing I do know is that visitation and support are two separate issues. Whether or not you utilize your visitation rights, does not mean whether or not you pay child support. So in my opinion, no, you don't have to visit...but you still must pay support...and on another note...do you think that maybe your influence might help your child with whatever is making him/her abusive? And maybe your lack of influence might hurt him/her? I am very pro-involvement as far as parents go. Please try to solve the problem by means other than abandonment.