How can I connect a portable hard drive?

I use a number of portable hard drives with my MacBook Pro, mostly Seagate.

The one I use for my TIme Machine back up has stopped working - when I connect it to my Mac, nothing happens (e.g. no sign of the drive within Finder).

I have rebooted the Mac, taken the cable out of the drive and reinserted it, etc but still no luck.

Other portable hard drives seem to work so it would appear this one might be faulty, although the two lights show on the drive when it's inserted.

Are there any workarounds to try and get the drive to mount?

Thank you