Linebackers Xavier Adibi and K.C. Asiodu and defensive end Aston Whiteside signed with the Bears, who waived defensive tackle Ronnie Cameron and cornerback Jeremy Ware and placed defensive end Alex Brown on the reserve/retired list.
Adibi is a fifth-year veteran who spent his first three seasons with Houston after being a fourth-round pick in 2008. He played for Minnesota in 2011.
Asiodu is a third-year veteran with nine special teams tackles in 11 career games.
Whiteside was an undrafted rookie out of Abilene Christian this year who initially signed with Dallas.