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Synonyms for Beat (same or very similar meaning)

WordNet sense 1 (a member of the beat generation; a nonconformist in dress and behavior):

WordNet sense 2 (a regular route for a sentry or policeman):

WordNet sense 3 (the rhythmic contraction and expansion of the arteries with each beat of the heart):
heartbeat, pulsation, pulse

WordNet sense 4 ((prosody) the accent in a metrical foot of verse):
cadence, measure, meter, metre

WordNet sense 5 (the basic rhythmic unit in a piece of music):
rhythm, musical rhythm

WordNet sense 6 (avoid paying):

WordNet sense 7 (very tired):
dead, bushed, all in

WordNet sense 8 (depleted of strength or energy):

WordNet sense 9 (make a sound like a clock or a timer):
tick, ticktock, ticktack

WordNet sense 10 (make a rhythmic sound):
drum, thrum

WordNet sense 11 (move with a thrashing motion):

WordNet sense 12 (move rhythmically):
pound, thump

WordNet sense 13 (move with or as if with a regular alternating motion):
pulsate, quiver

WordNet sense 14 (give a beating to; subject to a beating, either as a punishment or as an act of aggression):
beat up, work over

WordNet sense 15 (stir vigorously):

WordNet sense 16 (beat through cleverness and wit):
circumvent, outfox, outsmart, outwit, overreach

WordNet sense 17 (come out better in a competition, race, or conflict):
crush, shell, trounce, vanquish, beat out

WordNet sense 18 (be a mystery or bewildering to):
amaze, baffle, bewilder, dumbfound, flummox, get, gravel, mystify, nonplus, perplex, pose, puzzle, stick, stupefy, vex

WordNet sense 19 (wear out completely):
exhaust, tucker, wash up, tucker out

From the ODE community, based on WordNetadd/edit