LAUSR

Abstract The vibration characteristics of sintered diamond beaded rope (SDBR) for cutting granite are investigated both theoretically and experimentally. A theoretical relationship is established between the random sawing forces of a single diamond-beaded and the sawing parameters. The closed-form analytical solution of both free and forced vibration responses of the SDBR are obtained using Green's function, which is derived using an inverse Laplace transform. The influence of parameters, such as the tension of beaded rope, the linear speed of beaded rope, and the feeding speed of beaded rope and the different action positions of diamond beaded, on the vibration characteristics of the SDBR is analyzed, and compared with the single factor experiment of the SDBR subject to random sawing force, which validates the presented method. The results showed that the vibration response of the SDBR is asymmetrical to the left and right, the action positions of diamond beaded and tension of the SDBR are the key factor that cause the forced vibration response displacement of the beaded rope fluctuates, and the feeding speed of the SDBR is the most important factor affecting the removal of granite material. Therefore, it is crucial to balance the sawing force and cutting performance by optimizing the sawing parameters, especially the feed rate.