非均匀载荷下厚壁圆筒稳态蠕变应力的计算
Steady？？State Creep Stress Calculation of Thick？？Walled Cylinder under Non？？Uniform Load

根据多维应力下稳态蠕变的基础理论,采用应力函数法推导出一类外边界固定、内边界受非均匀载荷的厚壁圆筒稳态蠕变应力计算公式;分析了不同外内径比K下厚壁圆筒的蠕变应力和应力分布情况,证实最大蠕变应力发生在厚壁圆筒内边界最大受力处,厚壁圆筒的最大蠕变应力随着壁厚的增加呈现出先增加后减小的规律,且当K=1？？58时蠕变应力最大。应用所得计算公式,针对工程中油膜轴承衬套因承受油膜压力而发生的蠕变问题进行了蠕变应力解析求解。通过蠕变拉伸试验,得到了衬套内壁材料的诺顿稳态蠕变本构方程,并根据蠕变系数,利用有限元分析软件ANSYS计算了衬套的蠕变应力。最后,比较了上述2种方法得到的蠕变应力,表明文中给出的计算方法与有限元方法所得结果吻合,验证了该解析算法的正确性,从而可以为厚壁圆筒的结构设计和多维蠕变应力解析求解提供理论依据。
Based on the basic theory of steady？？state creep under multi？？dimensional stress state, a steady？？state creep stress calculation formula of thick？？walled cylinder with fixed outer boundary was derived by the stress？？function method under non？？uniform internal pressure. The creep stress and stress distribution of several kinds of thick？？walled cylinder were analyzed, which showed that the maximal creep stress occurred in the area with the largest stress on the inner boundary of the thick？？walled cylinders, increased first and then decreased with the wall thickness, and the largest creep stress was produced when the ratio of outer diameter to internal diameter is 1？？58. According to the formula, the steady？？state creep stress of oil？？film bearing bushing subject to a non？？uniform oil？？film pressure was analyzed, and the creep process was simulated by using the finite element software in ANSYS, where the creep parameters were obtained based on creep tensile test. Calculation results of the above two methods were analyzed, and the results obtained by the proposed method were coincident well with those by finite element method. This research may provide a theoretical guidance for the structural design of thick？？walled cylinders and the analytical calculation of multi？？dimensional creep stress