“…Compared with the traditional heavy rigid mechanical arms system, the flexible mechanical arms system has evident advantages because of its wider application, faster response speed, higher payload-to-robot-weight ratio and efficiency, and safer operation due to reduced inertia. 1,2 Therefore, the flexible mechanical arms system is compatibly and widely used in the fields of aerospace, [3][4][5][6] manufactory, 7 national defense, 8 and so on. However, the greatest disadvantage of the flexible mechanical arms systems is the vibration problem due to their long, slender, and light arms.…”