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Dynamic modeling and experimental validation of vibration for diamond beaded rope during granite cutting

机译:花岗岩切割过程中金刚石串珠振动的动态建模与实验验证

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摘要

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.
机译:理论上和实验在理论上进行了用于切割花岗岩的烧结金刚石串珠绳(SDBR)的振动特性。在单个钻石串珠和锯切参数的随机锯切力之间建立了理论关系。使用绿色的函数获得SDBR的自由和强制振动响应的闭合形式分析解,这是使用逆拉普拉斯变换导出的。分析了参数的影响,例如串珠绳的张力,串珠绳的线性速度和串珠绳的饲养速度以及金刚石串珠的不同动作位置,并与SDBR的振动特性进行了比较,与随机锯切对SDBR进行的单因素试验,验证了呈现的方法。结果表明,SDBR的振动响应在左右左右,金刚石的动作位置和SDBR的张力是导致串珠绳的强制振动响应位移的关键因素,以及馈电速度SDBR是影响花岗岩材料去除的最重要因素。因此,通过优化锯切参数,特别是进料速率来平衡锯切力和切割性能至关重要。

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