| 佟莹,夏健.深海采矿柔性立管系统非线性有限元模拟[J].计算力学学报,2022,39(1):129~134 |
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| 深海采矿柔性立管系统非线性有限元模拟 |
| Nonlinear finite element simulation of Flexible riser system in Deep Sea Mining |
| 投稿时间：2020-11-27 修订日期：2021-03-05 |
| DOI：10.7511/jslx20201127001 |
| 中文关键词: 海洋柔性管道 几何非线性 非保守载荷 非线性有限元分析 张量体系 |
| 英文关键词:submarine flexible pipeline geometrically nonlinear nonconservative loads nonlinear finite element analysis tensor system |
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| 中文摘要: |
| 在海洋环境载荷及集矿机牵引作用下，深海采矿柔性立管系统的动力学响应涉及几何非线性和非保守载荷的双重非线性源。基于三维固体有限变形理论建立数学模型，在完全拉格朗日格式下推导了系统运动平衡方程，针对非保守载荷的等效计算、非线性切线刚度矩阵及非线性方程的数值求解等关键问题提出了有效处理方案。根据处理方案开发了数值计算程序，并应用于柔性立管系统的静动力学分析。结果表明，本文开发的数值计算程序对海洋柔性管道的非线性响应具备良好的预测能力，验证了本文理论和计算模型的有效性和实用性。 |
| 英文摘要: |
| The dynamic response of a flexible riser system in deep-sea mining involves dual nonlinear sources of geometric nonlinearity and non-conservative loads, due to the marine environmental load and the traction of the mining machine.Based on the finite deformation theory three-dimensional solid, a mathematical model of a flexible riser system is established.The governing equations of the system are derived under the total Lagrangian format.Effective treatment schemes are proposed for key issues such as the equivalent calculation of non-conservative loads, nonlinear tangent stiffness matrix and numerical solution of nonlinear equations.A numerical calculation program was developed according to the treatment scheme, and it was applied to the static and dynamic analysis of the flexible riser system.Numerical results show that the developed program has a superior capability of analysis and prediction for the nonlinear response of the flexible riser system, which verifies the practicability of the theory and model in this paper. |
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