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管—土相互作用的有限元分析
Finite Element Analysis on Pipe-Poil Interaction
【摘要】 采用有限元方法,分析了管—土相互作用。在假定此问题为轴向对称的前提下,选用了二结点锥环元,并导出了这种单元的几何非线性刚度矩阵,同时还考虑了管壁向内凹陷时局部管与土脱离的现象。在求解非线性方程时,为了克服极值点处Jacobi矩阵的奇异性,采用了弧长法。推导出了管变形随荷载变化规律和管屈曲的上、下临界荷载,并编制了计算程序
【Abstract】 This paper analyzes the pipe-soil interaction by means of finite element method.On the premise that the problem be of axial symmetrical,the two-node conical ring element is used,then the geometrically nonlinear stiffness matrix of the element is formulated,while taking the separation of the pipe from the soil due to depression of the pipe into consideration.In solving nonlinear equations,arc length method is adopted so as to avoid Jacobi matrix’s singularity at extreme value points.Finally,the variation of the pipe defomation with loads,and the upper and lower limits of the critical load are computed.
【Key words】 geometrical nonlinearity; two-node conical ring element; arc lengthe method; critical loads;
- 【文献出处】 东北电力学院学报 ,JOURNAL OF NORTHEAST CHINA INSTITUTE OF ELECTRIC POWER ENGINEERING , 编辑部邮箱 ,1996年02期
- 【分类号】TU12
- 【被引频次】12
- 【下载频次】270