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A method for simulating buckling of subsea pipelines based on the pipeline element method

This invention provides a method for simulating buckling of subsea pipelines based on the pipeline element method, addressing the problems of low computational efficiency, complex modeling, and low accuracy in existing methods. Based on Euler-Bernoulli beam theory, this invention models the pipeline as a series of efficient pipeline elements. Internal pressure is converted into equivalent temperature rise, and the effective thermal expansion force generated by the effective temperature rise is applied to both ends of the pipeline element to construct the total potential energy equation. The second derivative of the total potential energy equation is performed to obtain the tangent stiffness matrix of the pipeline element. An updated Lagrange method is used for coordinate transformation. The secant relationship is used to calculate the pipeline element and soil resistance. A Newton-Raphson incremental-iterative numerical program is established to perform nonlinear analysis of the pipeline, progressively solving for the deformation and stress of the pipeline under complex loads. This invention significantly reduces the number of elements, improves computational efficiency, and accurately simulates nonlinear pipe-soil interactions. It is applicable to various pipelines, including short pipes, long pipes, and corroded pipes, as well as complex working conditions such as high temperature and high pressure.
Owner:SUN YAT SEN UNIV +1