To brush off or shake away; to physically swat something off or, figuratively, to dispel thoughts or feelings.
彼は腕を振り払って彼女から離れた。
He shook her off with his arm and stepped away.
嫌な記憶を振り払おうとしても、なかなか消えない。
Even when trying to shake off unpleasant memories, they don't easily disappear.
テーブルの上のパンくずを手で振り払った。
I brushed the crumbs off the table with my hand.