Is there a remedy?

Three years ago, I purchased a pair of Martin Logan 60XT towers.  Sometime after that, I had read a comment on YouTube that this speaker was not well-braced.  I tend not to listen at loud volumes and never noticed a distortion problem, but a few weeks ago I had the music turned up pretty loud and noticed a buzz in one speaker that I had not heard before (I had read that one of the improvements ML made to the 60XTi was better internal bracing). 
 

My question:  Is there an economical way to eliminate/reduce the buzzing when I choose to play music at a loud volume?