Synonyms for Undergo:

n.

come under, not know where/which way to turn, be in dire/desperate straits, be in the grip of something, incur. participate, be reared on something, prove, run up against, know. sustain (noun)
withstand, know, encounter, share, be subject to, meet with.
undergo (noun)
see, get, submit, take, have, go through, receive, experience.

v.

abide (verb)
experience, persevere, go on, bear, abide, tolerate, continue, put up with, remain, last, persist, tarry, linger, suffer, endure.
feel (verb)
grope, fumble, feel, sense, handle, respond, touch, finger, probe.

Other synonyms:

meet with, run up against. incur, come under. prove. encounter. know. endure
go through, bear, meet with.
experience
feel.
take
take.
taste
run up against.

Usage examples for undergo

  1. They had no suspicion at that moment that their opinions might soon undergo a change; and that Colin's supposed good fortune would ere long become a source of much uneasiness to all of them. – The Boy Slaves by Mayne Reid
  2. In manhood he must undergo the labors of a horse. – A Philosophical Dictionary, Volume 7 (of 10) From "The Works of Voltaire - A Contemporary Version" by François-Marie Arouet (AKA Voltaire) Commentator: John Morley Tobias Smollett H.G. Leigh
  3. In consequence, when he descended the companion ladder and entered the drawing- room, he had to undergo a cross- examination as to his movements. – The Red Rat's Daughter by Guy Boothby