论文标题
一种分析浮动柔性结构的动态响应的离散模块 - 元素元素水力弹性方法
A discrete-module-finite-element hydroelasticity method in analyzing dynamic response of floating flexible structures
论文作者
论文摘要
已经提出了一个基于离散的模块化元素(DMFE)的水力弹性方法。首先,将自由浮动的柔性结构离散为两个水平方向的几个宏观模型,以执行多刚性的水力动力分析。然后将每个宏观模块抽象成重力中心的总质量,该质量具有外部力,包括惯性力,水动力力和静液压力。除外部力量外,所有集团质量还受到反映原始柔性结构的结构变形特征的结构力。计算结构力的关键是相对于所有集团质量的位移的等效总体结构刚度基质的推导,该质量按照有限元过程解决。更具体地说,每个宏观模块被离散为许多微元素,以得出相应的结构刚度矩阵,该矩阵被操纵到新的结构刚度矩阵中,包括仅通过使用子结构方法来组合整体刚度矩阵,将块状质量和周围边界的位置和周围边界的位置组合在一起。最后,基于外部力量和结构力之间的等效性,DMFE方法在所有集团质量上建立了水力弹性方程,其位移是未知变量。求解方程给出了所有总质量的位移响应。首先在每两个相邻的宏观模型的接口上计算位移和结构力响应,此后,在柔性结构的任何给定位置,位移的恢复基于相应的宏观模块的结构刚度矩阵,结构力的恢复使用了分段插图方案。
A discrete-module-finite element (DMFE) based hydroelasticity method has been proposed and well developed. Firstly, a freely floating flexible structure is discretized into several macro-submodules in two horizontal directions to perform a multi-rigid-body hydrodynamic analysis. Each macro-submodule is then abstracted to a lumped mass at the center of gravity that bears the external forces including inertia force, hydrodynamic force and hydrostatic force. Apart from external forces, all lumped masses are also subjected to structural forces that reflect the structural deformation features of the original flexible structure. The key to calculating the structural forces is derivation of the equivalent overall structural stiffness matrix with respect to the displacements of all lumped masses, which is tackled following the finite element procedure. More specifically, each macro-submodule is discretized into a number of microelements to derive the corresponding structural stiffness matrix, which is manipulated to a new one including only the nodes at the position of the lumped masses and surrounding boundaries by using the substructure approach, and subsequently the target overall stiffness matrix is obtained by combining together all macro-submodules. Finally, based on equivalence between external and structural forces, the DMFE method establishes the hydroelastic equation on all lumped masses with their displacements as unknown variables. Solving the equation gives the displacement response of all lumped masses. Displacement and structural force responses are first calculated on the interfaces of every two adjacent macro-submodules, after which at any given position of the flexible structure, the recovery of displacement is based on the structural stiffness matrix of the corresponding macro-submodule and the recovery of structural force uses the spline interpolation scheme.