论文部分内容阅读
采用复变函数法给出了表面受有一类非均布径向压力作用下厚壁圆筒平面问题的应力解析解,发现随着非均布侧压系数的增大,圆筒内某些区域的切向应力和(或)径向应力会由压应力变为拉应力,并且切向拉应力远大于径向拉应力。在不存在拉应力区的前提下,反算出非均布侧压系数的范围,并给出了不同非均布侧压系数所对应的拉应力区。最后用数值方法验证了理论分析的正确性。
By using the complex variable function method, the stress analytical solution of the plane problem of thick-walled cylinder subject to a kind of non-uniform radial pressure on the surface is given. It is found that with the increase of non-uniform lateral pressure coefficient, The tangential stress and / or radial stress will change from compressive stress to tensile stress, and the tangential tensile stress is far greater than the radial tensile stress. Under the condition that there is no tensile stress zone, the range of lateral pressure coefficient of non-uniform distribution is inversely calculated, and the tensile stress zone corresponding to different non-uniform lateral compression coefficient is given. Finally, the correctness of the theoretical analysis is verified by numerical methods.