1. Put a sock in it （英式英语）
I've had enough of your moaning for one day. Why don't you put a sock in it？
这一天我都在听你抱怨，安静一点行不行啊！
注：有时候你也会听到“put a cork in it”，意思是一样的。
2. Cork it
"Shhh, cork it and listen to him".
“嘘，别说了，好好听他说。”
注：“put a cork in it”更常用。
3. Button it
"Button it, ok. I'm trying to think!"
“闭嘴好吗，我在思考呢！”

The tone of "shut up" has always felt strong, a rather unfriendly expression. Building Lord shares a few ways to feel a lot more euphemistic. Thanks for sharing.