"泥浆振动筛" can be translated into English as "mud shaker" or "mud vibrating screen".
"Mud shaker" is a commonly used term in the oil and gas drilling industry, referring to the equipment that separates solids from drilling mud through vibration.
"Mud vibrating screen" is a more literal translation, directly describing the function and type of the equipment.
Both expressions are acceptable, with "mud shaker" being more prevalent in industry-specific contexts.