Did you do any tutorials on Bones and learn deeper about Envelopes and Weights? If you just poked around at it without doing any deep reading it's likely you'll have problems. Bones are kind of complex.
I've returned another file. This one has just two Dummies that represent the two parts of the bus. I've used the 'Weight Table' to start to assign weights to one of the Dummies and one side of the bellows. The weighs of the verts next to the Dummy are are '1.0', full on. Next to the other end it's '0.0'. In the middle it's '0.5'. But, as I watch it move, I think it needs to taper off faster. Maybe the center of the bellows needs to be '0.0' and go to '1.0' gradually from there to the Dummy. Then you'll need to do the reverse on the other Dummy. I didn't do that one yet. I figured you could open it and see what I did to Dummy04.
Dummy04 does distort a little as it rotates. Maybe that dummy should be much shorter and not long like a bus body. You are going to have to play with it but I think if you do enough reading and tweaking, bones and do a nice job for this.
Here are some helpful links:
Objects as Bones
https://knowledge.autodesk.com/support/3ds-max/learn-explore/caas/CloudHelp/cloudhelp/2015/ENU/3DSMa...
Weight Table
http://docs.autodesk.com/3DSMAX/13/ENU/Autodesk%203ds%20Max%202011%20Help/index.html?url=./files/WSf...
Weight Tool
https://knowledge.autodesk.com/support/3ds-max/learn-explore/caas/CloudHelp/cloudhelp/2016/ENU/3DSMa...
Rob Holmes
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