I was wondering after 1917 revolution (or coup whatever you want to call it), Russia was renamed to USSR (Soviet Union). Here Soviet actually means 'Council' in Russian. Usually, names of places have some unique history to it and that's how people relate to it. Mostly all countries have names which are truly unique to them and that allows them to differentiate themselves with other.
But by choosing a generic non-historical name like the Soviet Union, Was it done intentionally to incorporate more countries into the union easily so that the newly joined people don't feel alienated when they become part of USSR?
I think you've slightly misunderstood what the Soviet Union is -- the USSR was not Russia itself, it was the union of all Soviet countries. Russia proper was named the Russian Soviet Federative Socialist Republic, or the Russian SFSR, and was still an individual entity within the USSR like every other Soviet republic.