Thankyou Lead, I think I understand a little better
In modern translations, the name is not often translated, it is mostly redacted and replaced with "Adonai" "Lord" or "God", however older translations had no problems with the divine name. The King James, and its contempories reduced the occurances of the name to approximately 4 times, before recent translations deleted it entirely, but in the oldest known manuscripts, הוה which is the Hebrew that is translated into latin as YHWH (latin) appears 7000 times in the Hebrew texts, in every book except maybe Esther and Song of Solomon. The Hebrews used Gods name regularly, in prayer, in song and in worship. I personally think it more likely that our generation has misunderstood, rather than those who are recorded in the bible using it.
Names in Hebrew times meant something, a mans name was an appraisal of who he had become, he was born with a name, but would receive a descriptive name that people would later know him by. Nabal is my favourite example, his name meant "idiot" When Moses asked who to say had sent him, Yahweh gave him his descriptive name. In the bible God has many titles, but only one name.
With regards to the Tetragrammaton, I advise some light study, and you might find it interesting even the Wikipedia shines some interesting insights, for instance, the name YHWH does not exclusively mean "I AM THAT I AM", rather it is also translated (and I believe more appropriate) I SHALL CAUSE TO BECOME WHAT I SHALL CAUSE TO BECOME, this has far more meaning than I AM, He was the God that made things happen. as it inspired confidence in his people that he accomplished his will.
The name Jehovah is also part of many Hebrew names (I am using the English translation for ease) Jehoshaphat - Jehovah has judged, Jeremiah - Exalted by Jehovah; Jesus - Jehovah provides Salvation. If the name Jehovah/Yahweh simply meant I AM, these Hebrew names would mean far less,
A few examples of Scriptures that speak of Gods name, would also mean far less if Gods statement was merely stating I AM what I AM
David - "Your name, YHWH, endures forever, your renown, YHWH, through all generations.
Solomon - "The name of YHWH is a strong tower; the righteous man runs into it and is safe"
Micah - For all the peoples do walk, Each in the name of its god -- and we, We do walk in the name of YHWH our God
Isaiah : YHWH our God, other lords besides you have ruled over us, but your name alone do we honor
I hope this helps in some way, but I apologise very much for the word count.
TL;DR version - Gods name in bible lots of times