基于逆有限元法的船体板架结构位移场重构方法研究

Research on displacement field reconstruction method of stiffened panel of ship structures based on inverse finite element method

  • 摘要: 【目的】为了准确地掌握外载荷作用下船体板架的变形演化,【方法】基于逆有限元法,结合船体结构特点,推导了四节点逆壳单元形函数和单元理论应变,根据变分原理和单元理论应变与实测应变的最小二乘函数,建立了船体板架结构位移场重构方法。以垂向弯矩下箱型梁极限强度数值仿真为输入,开展了上甲板位移场重构和误差分析。【结果】结果表明,上甲板位移场的重构结构与数值仿真结果一致性较好,模型线性段、非线性段以及极限状态所有位移验证点的结构位移重构误差均在10%以内,验证了本文提出的船体板架位移场方法的有效性。【结论】本文提出的位移场重构方法可用于船舶与海洋工程结构变形场的间接测量。

     

    Abstract: Purpose In order to accurately grasp the deformation evolution of the stiffened panel of ship structures frame under external load, Method the four-node inverse shell unit shape function and element theory strain were derived based on the inverse finite element method and combined with the characteristics of the hull structure. Results The results show that the reconstructed displacement field of the upper deck is in good agreement with the numerical simulation results. The reconstruction errors of structural displacement at all validation points are within 10% for the linear segment, nonlinear segment, and ultimate state of the model, which validates the effectiveness of the hull grillage displacement field method proposed in this paper.Conclusions The displacement field reconstruction method proposed in this paper can be used for indirect measurement of structural deformation fields in ship and marine engineering structures.

     

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