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利用von Mises屈服判定准则和拉梅厚壁圆筒理论,建立了管柱在复杂工况下三轴应力强度精确计算模型,考虑了内外压力、轴向载荷、弯曲和扭转等载荷影响,全面分析了管柱破坏时的管柱应力状态,这是对传统三轴应力分析方法的一种改进。由于采用无量纲化的公式推导方法,本文建立的模型适用于所有材质和尺寸的管柱设计计算,推导得到的挤毁载荷计算公式适用于径厚比小于14的管子,且认为管子屈服破坏开始于内壁;破裂载荷的计算公式适用于所有尺寸的管柱。
Based on von Mises yield criterion and Lame thick cylinder theory, an accurate calculation model of triaxial columnar stress intensity under complicated working conditions was established. Considering the effects of internal and external pressure, axial load, bending and torsional load, a comprehensive analysis The failure of the column when the string stress state, which is the traditional triaxial stress analysis method of an improvement. Because of the non-dimensional formula derivation method, the model established in this paper is suitable for the calculation and design of the pipe string for all materials and sizes. The formula for calculating the collapse load is applicable to the pipe with the diameter-thickness ratio less than 14 and the pipe yield failure is considered The inner wall; the formula for calculating the breaking load applies to all sizes of pipe string.