The 6-foot-7, 324-pound Brandon entered the league as an undrafted free agent out of Oklahoma in 2011. He appeared in all four preseason games with Tampa Bay last year before being waived.
Brown first joined the Bears as an undrafted free agent in 2010 out of Texas-El Paso and got waived after that preseason. He appeared in 10 games for Indianapolis that season and got released during the preseason last year.
The Bears announced the moves on Friday.
Copyright 2012 by The Associated Press