薄壁管道爆破压力的强度差异效应与强度准则影响

在有限变形理论的框架内,基于统一强度准则对在内压作用下的薄壁管道的塑性失效进行了分析．考虑强度差异效应和强度准则对爆破压力的影响,得到了两端封闭薄壁长圆管道的爆破压力的解析解．此外,在统一强度准则的基础上,在内压作用下的两端开口薄壁长圆管道的爆破压力解析解也被导出．经过讨论,发现对于受内压的两端封闭管道,不同的强度准则和强度拉压异性对其爆破压力的影响是显著的,而对于受内压的两端开口管道,其爆破压力则不受强度准则的具体形式和强度差异的影响．     

Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines

In the framework of the finite deformation theory, the plastic collapse analysis of thin-walled pipes subjected to the internal pressure is conducted on the basis of the unified strength criterion (USC). An analytical solution of the burst pressure for pipes with capped ends is derived, which includes the strength differential effect and takes the influence of strength criterion on the burst pressure into account. In addition, a USC-based analytical solution of the burst pressure for end-opened pipes under the internal pressure is obtained. By discussion, it is found that for the end-capped pipes, the influence of different yield criteria and the strength differential effect on the burst pressure are significant, while for the end-opened pipes, the burst pressure is independent of the specific form of the strength criterion and strength difference in tension and compression.     

凸肩叶片的非线性振动特性与运动分岔

以凸肩叶片作为研究模型, 建立了考虑凸肩摩擦力, 几何大变形与阻尼的非线性振动方程.采用Galerkin法对振动方程离散化, 应用平均法对离散后模态方程组的非线性响应进行解析分析, 得到了非线性幅频特性曲线, 与数值解比较验证了解析解, 并讨论了系统周期解的稳定性. 用非线性振动理论详细研究了平均方程组的运动分岔现象, 揭示了平均方程组周期解的变化过程及其具有的非线性动力学性质. 解析结果表明, 凸肩之间的摩擦对系统第二阶非线性振动特性影响很大. 由于凸肩之间摩擦力方向的不断改变, 系统第二阶非线性幅频特性曲线不连续, 出现两个共振频域. 随着时间的推移, 系统振动的幅值会以$T/ 4$为周期在两个频域的幅频曲线上来回跳动, 这会使叶片的振动响应大幅降低.