As a result of the schedule changes, the team's matchup against Coppin State on April 26 has been canceled.
"With graduating this spring and having a pretty serious back injury recently, I have decided to step away from the sport of wrestling," Edsell said.
Elisaia, a former first-team All-Big West honoree, will arrive in Happy Valley with one year of eligibility remaining.
Beard's role with Penn State lessened when Max Dean transferred in from Cornell and ultimately won the 197-pound national title.
As key pieces depart, Andrew Funk and Camren Wynter should provide depth and experience to a Nittany Lions squad seeking improvement.
While experts knock Luketa's pass-rushing prowess, his ability to defend against the run and shoo off blockers boosts his stock as a potential mid-round pick.