深海采矿柔性立管系统非线性有限元模拟

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...

Nonlinear finite element simulation of Flexible riser system in Deep Sea Mining

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.