Suffering is a part of the human experience.  Jesus chose to enter fully into the human experience of suffering.  Beyond human suffering is Christian suffering.  This suffering is that which comes from the price of embracing Jesus as the Son of God.  Peter rebuked Jesus because he did not believe the Messiah should suffer.  He later denied Jesus to avoid his own suffering but after his transformation he wrote boldly about Christian suffering in his letters.  In the end he chose an upside down crucifixion embracing both the suffering of Christ and his own suffering.  

“And after you have suffered a little while, the God of all grace, who has called you to his eternal glory in Christ, will himself restore, confirm, strengthen, and establish you. To him be the dominion forever and ever. Amen.”  (1 Peter 5:10–11 ESV)