It's simply the pressure of the water. Mine do the same thing. There is nothing wrong with the pipes. Once a month I use either a box of baking soda, or bathroom scum cleaner and let my washing machine go through a full cycle. This gets ride of any built-up soaps or fabric softeners. Often the vibration and 'water hammers' are due to air in the pipes. The other thing to check out is piping vibrating against the joists.
Because of the pressure the water is causing.
Pipes vibrate when they are pushing air back and forth.
water hammer and not being strapped down properly.
your house vibrates when the water is on because water is being pushed hardly through the pumps going all through your house. so pipes are surrounding your house in the walls. so when you turn the water on they shake because the water presure is high.
Water Hammer.
The hot water pipe is not clamped properly. When the water flows through the pipe when you open the faucet, the turbulence makes the pipe move and bang against what ever it is not clamped to properly.
They have probably got air bubbles in them. It may be a worn out ballcock at a toilet.
air in the line open all the facets run the water for at least 10 minutes you should be ok after that.
I think it has something to with your pipes not your water. Your pipes are must probably rusty and it is coming out in the water.
install larger pipes
they start to vibrate, disconnect and turn into watervapor (steam).
lose washer
If water freezes it expands. so if the water on your pipes turn to ice 0c then you are in danger of cracking pipes.