基于整体传递矩阵法的导向工具偏心主轴动力学特性

指向式导向工具主轴是进行导向作业的关键部件之一,其动力学特性将直接影响到井眼轨迹控制效果及作业安全,因此非常有必要开展工具主轴偏置状态下的动力学特性的研究。基于整体传递矩阵法,建立了指向式导向工具外壳-轴承-主轴系统动力学模型,推导出了主轴任意节点处的几何和力学方程,分析了空载工况下导向工具整体固有频率和振型,结合实例计算了不同偏心距和不同转速下的导向工具主轴测点偏移量,并利用指向式导向工具的试验台架进行了主轴测点偏移量实验验证。结果表明,实验测得的数据与理论推导的主轴测点偏移量数据非常接近,误差最大仅为6.48%,由此验证了所建力学模型的合理性。

Dynamic Characteristics of Eccentric Spindle of Steerable Tool Based on Whole Transfer Matrix Method

The spindle of Point-Bit Rotary Steerable tool is one of the key components in guiding operation. Its dynamic characteristics will directly affect the well trajectory control effect and operation safety. The well trajectory control effect and operation safety will be directly affected by its dynamic characteristics. Therefore, it is necessary to carry out the research on the dynamic characteristics of the tool spindle in the state of deflection. The steerable tool housing-bearing-spindle system dynamics model is established based on the whole transfer matrix method. The spindle any node of geometry and mechanics equation were derived. The overall natural frequency and vibration mode of the steerable tool under no-load condition are analyzed. The deflection of the measuring point of the steerable tool spindle under different eccentricity and different rotating speed is calculated by connecting with the instance and the deflection of spindle measuring point is verified by using the test bench of point-bit steerable tool. The results show that the experimental measured data is very close to the theoretical deduced spindle measuring point deflection data, and the maximum error is only 6.48%, which verifies the rationality of the established mechanical model.