The engine shake hard. However in idle the engine run smoothly?

Hello,

It sounds like the engine might be misfiring under load (acceleration).
When the ignition components like spark plugs, coils starts to fail they will misfire when you accelerate as there is more load on those components. Many times you will have good idle but will misfire as the vehicle starts to accelerate.

https://youtu.be/UKB-ytgbnzU

https://www.2carpros.com/articles/engine-misfires-or-runs-rough

Check the spark plugs and make sure they are in good condition and the gap is correct.
Spark plug gap: 1.0 - 1.1 mm (0.039 - 0.043 in.)

https://www.2carpros.com/articles/how-to-change-spark-plugs

https://www.2carpros.com/articles/how-to-tune-up-a-car-engine

I have attached diagrams for your reference.

Please let me know of any questions.

Thank you.