Dear Mohammed,
I think it depends on the situation, so those three words are possible to be used as the mean of SHAKE.
揺 )そのニュースで私は動揺した。 The news shook me very much.
風で木が揺れて葉が落ちた。 The wind shook the tree and its leaves fell off.
振 )箱を振ったが空だった。I shook the box but it was empty.
震 )恐怖で震える。I shook with fear.
大地震で地面が震えた。The earthquake made the ground shake.
Thanks,
Yuta