CAJ | 학술논문

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，且计算效率得到较大提升。
위극복상용수치방법재풍여막결구적우합계산중망격역기변、모비궤시대적결점，제출채용물질점법계산풍여막결구적우합작용。결구역채용물질점법묘술，류체역채용침입변계법묘술。결구대류체적작용통과대결구최변연적망격절점시가변계조건래실현，류체대결구적작용통과재결구표면시가압력화전력실현。분별급출료결구역、류체역화류고우합계산적구해보취。장해산법응용우이유막결구적우합계산，득도료결구향응화류체압력장등결과，여채용유한원법계산결과진행료대비，결과부합량호；동시여유한원법대비료계산효솔，결과표명물질점법계산효솔요고우유한원법。결과표명물질점법계산풍여막결구적류고우합작용중가이득도준학적결과，차계산효솔득도교대제승。
Due to the disadvantages of mesh distortion and large computer time consuming in commonly used numerical methods,material point method (MPM)was proposed to deal with the wind-membrane structure interaction. The solid was described by MPM,whereas the fluid was described using immersed boundary method.The effect of the solid on fluid was taken into account through imposing boundary conditions on the immediate vicinity mesh nodes.The effect of the fluid on solid was 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 were presented respectively. The algorithm was applied to a 2D membrane structure interacting with wind.The results of structural responses and fluid pressure field were obtained,which are in good agreement with those obtained using finite element method (FEM).The computing efficiency was compared between MPM and FEM,where MPM shows better efficiency.It is shown that ideal results can be obtained in wind-structure interaction analysis by employing MPM,with great improvement in computing efficiency.