Post-buckling phenomena of slender rods have attracted great attention for both theoretical and engineering aspects. In this study, we explored the post-buckling behavior of a slender rod with two hinged ends under its self-weight. We first established the potential energy functional of the system, and then derived the governing differential equations according to the principle of least potential energy. We further addressed the physical meaning of the Lagrange multiplier by analyzing the force equilibrium. A computer code of shooting method was developed by using the commercial software MathCAD, which has proved efficient in computing the post- buckling configurations of the rod. We finally discussed the buckling of an oil sucker rod adopting our numerical results, which will be beneficial to the engineering design.
通过连续测试双液硅化加固过程中黄土的电阻率变化。计算得到了电阻率结构特性参数的变化规律,包括土的平均结构因子、平均形状因子与各向异性系数。分析了加固过程土体结构的变化机理。试验结果表明:黄土电阻率随着电流频率的升高而逐渐减小并最终趋于稳定,当电流频率范围为50 k Hz^1 MHz时,电流频率对黄土电阻率实测值影响较小;双液硅化加固过程中,竖向和横向电阻率均随着时间的增加先减小,最终保持稳定,且减小趋势均集中在初始阶段。平均结构因子和平均形状因子均随时间的增加先减小,最终趋于稳定。各向异性系数随时间的增加先快速增大,并最终趋于稳定。
为研究氯化钠溶液对水泥砂浆的腐蚀,以浸泡在不同浓度氯化钠溶液中的水泥砂浆试块为研究对象,进行了电阻率和无侧限抗压强度试验。结果表明:不同龄期、不同氯化钠浓度下试块的电阻率均随电流频率的增大而明显降低,建议采用50 k Hz^1 MHz的电流测试频率范围为宜;试块电阻率和无侧限抗压强度随龄期的不断增加均呈现不同速率的增长;试块的电阻率均随氯化钠浓度的增加先保持稳定后呈减小趋势,无侧限抗压强度呈现相同的变化规律;随电阻率的增长水泥砂浆的无侧限抗压强度线性增大。
