Why do my house pipes vibrate?

Sounds like a plumbing problem.

Since no tap gets hot water, chances are good the problem lies in the hot water pipes between the water heater to the first Tee.
Look for sediment lodged in water heater hot water pipe.
Or sediment lodged in elbow or Tee.

Other problems can be in play.
Faulty check valve or mixing valve if these are installed.
Faulty recirculation system if this is installed.
Also crossover at single-handled faucet where the cartridge is bad and lets the cold water flow into hot water pipe whenever another faucet is turned on. If you are getting cold water out the hot tap, and you know the hot water heater has hot water, then crossover is suspect > in addition to sediment blockage at hot water heater.

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That is normal, the heat just rises from the hot water, the pipe on the right should be cold and if you were to run hot water anywhere in the house it will immediately cool of the cold inlet pipe and you can feel it

Please have the selonid valve replaced.The coil is shot.

The hot and cold pipes run in the wall next to one another. So the water turns cold again as soon as the water starts flowing

The natural expansion and contraction of the pipes due to the hot and cold water is what makes the pipes sing. I'm not aware of a fix without repiping.

It is normal for the machine to cycle between hot and cold water when filling even if selecting a cold cycle. The reason for this is because even a cold cycle requires the water temperature to be 78F for the soap to break up efficiently.

During the cold months the water in your pipes is probably less than 78F so the machine will need to add some hot water to bring it up to this temperature. Basically, it is adding cold and then hot water to maintain a temperature in the tub of 78F for cold water cycles.

Hope this helps, please rate my solution.

If the water heater is working fine than I would not worry about the function of the water heater. What the problem may be is that some of your WATER LINES HAVE MOVED, AS THEY WERE NOT SECURED PROPERLY. The sound you may have heard was the Copper or PVC(Plastic) lines just getting back comfortable. I Suggest checking that your water lines are secured about every 3 or 4 feet with the proper ancjhor....Metal for metal pipe, copper for copper pipe, etc. Sometime as in my house, pipes are run through a hole drilled through a stud or a piece of wood, usually when hot water is run through this pipe. You can here an expansion of the water line interacting with the pipe expanding, if the hole in the wood was not drilled big enough......Experience of remodeling a very old house.......Joe

The problem is solved, it was a single handle shower valve in the open hot position when my wife washed her hair, she turned the water off at the shower head. This forced hot water into the cold pipes when a faucet down the line was opened. Thnks for the help.