Welcome to Neuro Talk. Also, thank you for your service to the many patients you have had. Nurses are who saves peoples lives, the backbone of getting well.
My father had that kind of Machine for 02. It did make a noise. You arn't necessarily wrong that this machine may be vibrating, in fact more so since that storm you had. Before you think of the doctor route, perhaps you could ask your neighbor, to have a service rep. or who they "purchased" or "rented" it from to take a look at it.
I live in a high tourist area, I know how difficult it can be with noise, cars vibrating the speakers that shake the windows, people walking by at all hours of the night. It can make you crazy! Since you share a common wall, I think I would ask this of my neighbor first, and explain the situation more to them. Also if you have an HOA in your complex, there may be some solution to reduce vibration.
If you feel it is "you" that is vibrating, that may be a different issue all together. Is this like trembling, like if you are cold? or have a fever? Are you in pain? I know others may have some ideas too. Sleep is ever so important, we don't function very well without it, so I know you need a solution. Hope some others will come by too. Ginnie