为克服常用数值方法在风与膜结构的耦合计算中网格易畸变、耗费机时大的缺点，提出采用物质点法计算风与膜结构的耦合作用。结构域采用物质点法描述，流体域采用浸入边界法描述。结构对流体的作用通过对结构最边缘的网格节点施加边界条件来实现，流体对结构的作用通过在结构表面施加压力和剪力实现。分别给出了结构域、流体域和流固耦合计算的求解步骤。将该算法应用于二维膜结构的耦合计算，得到了结构响应和流体压力场等结果，与采用有限元法计算结果进行了对比，结果符合良好；同时与有限元法对比了计算效率，结果表明物质点法计算效率要高于有限元法。结果表明物质点法计算风与膜结构的流固耦合作用中可以得到准确的结果，且计算效率得到了较大提升。
Abstract
Due to the disadvantage of mesh distortion and large computer time consuming in the commonly used numerical methods, material point method (MPM for short) is proposed to deal with the wind-membrane structure interaction. The solid is described by MPM, whereas the fluid is described using immersed boundary method. The effect of the solid on fluid is taken into account through imposing boundary conditions on the immediate vicinity mesh nodes. The effect of the fluid on solid is taken into account by imposing pressure and shear stress on the solid surface. And the procedures for solving the solid equations, fluid equations and the fluid-structure interaction are presented, respectively. The algorithm is applied to a 2D membrane structure interacting with wind. The results such as structural responses and fluid pressure field are obtained, which are in good agreement with those obtained using finite element method. (FEM) And computing efficiency is compared between MPM and FEM, where MPM shows better efficiency. It is shown that ideal results can be obtained in wind-structure interaction by employing MPM, with great improvement in computing efficiency.
关键词
膜结构 /
流固耦合 /
物质点法 /
计算效率
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参考文献
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