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随着钻井技术的进步，以控制井眼轨道为目的的下部钻具组合发展迅速。在原来的普通增斜、降斜和稳斜钻具的基础上，发展了多种类型的导向钻具、带偏心弯接头的防斜钻具、带柔性接头防斜钻具和两稳定器间变刚度的增斜钻具等多种新型下部钻具组合。为了更好地应用这些新钻具,建立了适用于对普通下部钻具、导向钻具、带偏心弯接头和柔性接头的下部钻具进行三维小挠度静力学分析的数学模型，包括(1)微分方程，(2)钻头、稳定器、弯角、变截面、切点和井壁的边界条件，(3)钻头的侧向力和钻头转角。用该理论编写了应用软件。作为软件的部分功能,对几套钻具进行了增斜率随井斜角变化的预测, 并进行了初步分析。
With advances in drilling technology, the lower part of the drilling assembly aimed at controlling the wellbore orbit has developed rapidly. On the basis of the original common inclined, descending and steady inclined drilling tools, various types of pilot drilling tools, anti-skew drilling tools with eccentric bent joints, anti-skew drilling tools with flexible joints and two stabilizers Variable stiffness of the inclined drilling and a variety of new drilling tools. In order to make better use of these new tools, a mathematical model for three-dimensional small-deflection static analysis of lower-bottom tools, including ordinary lower tools, pilot tools, eccentric bent joints and flexible joints, has been established, including (1) (2) boundary conditions of drill bit, stabilizer, corner, variable cross section, point of contact and borehole wall, (3) lateral force of bit and bit angle. Use this theory to write the application software. As part of the function of the software, several sets of drilling tools were predicted by slope change with well inclination angle and a preliminary analysis was carried out.