降阶模型在膜结构风振流固耦合分析中的应用
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
针对膜结构风振流固耦合计算的强耦合分区法应用降阶模型,将降阶模型应用于耦合迭代运算过程。建立了流体域和结构域的降阶模型,给出了采用降阶模型进行强耦合分区计算的步骤。为了实现强流体域和结构域的强耦合,通过在耦合迭代过程中采用降阶模型的方式获得流体及结构的雅克比行列式,在每一时间步内采用降阶模型计算强耦合求解方法中的流体和结构"黑匣子"。将降阶模型应用于一典型的膜结构风振计算中,并将计算结果与采用ANSYS计算结果和计算效率进行了对比,两者结果符合良好。同时发现本文方法耗费机时少,通过较少的耦合迭代和模态数就可以达到很好的计算精度。结果证明本文提出的降阶模型应用于膜结构的耦合风振分析是正确高效的。
Aiming at strongly coupled partitioned method of fluid-structure interaction in wind-induced vibration of membrane structures,reduced order models are applied to the calculating process of the fluid-structure interaction.Reduced order models of fluid and structure are established firstly,and the procedures for performing strongly coupled partitioned method by reduced order models are established.To achieve strongly coupling of fluid and structure,Jacobians of fluid and structure are obtained by adopting reduced order models during coupling iteration process."Black boxes" of fluid and structure in strongly coupled solutions are calculated by reduced order models in each time step.The reduced order models are applied to analyzing wind-induced vibration of a typical membrane structure.Results and computing efficiency in the reduced order models and ANSYS are compared.And it is found that the reduced order model consumes little time,and it can achieve fairly high accuracy through a few coupling iterations and a few modes.The results show that the reduced order models proposed in this work are accurate and efficient for analyzing coupling wind-induced vibration of membrane structures.
引文
[1]Epureanu B,Hall K,Dowell E.Reduced-order models of unsteady viscous flows in turbomachinery using viscous-inviscid coupling[J].Journal ofFluids and Structures,2001,15:255-276.
    [2]Hall K,Thomas J,Dowell E.Reduced-order modeling of unsteady small-disturbance flows using a frequency-domain proper orthogonal decomposi-tion technique[R].AIAA Paper,1999:99-655.
    [3]Romanowski M.Reduced-order unsteady aerodynamic and aeroelastic models using Karhunen-Loeve eigenmodes[R].AIAA Paper,1996:96-3981.
    [4]Hall K,Thomas J,Clark W.Computation of unsteady nonlinear flows in cascades using a harmonic balance technique[J].AIAA Journal,2002,40(5):879-866.
    [5]Thomas J,Dowell E,Hall K.Nonlinear inviscid aerodynamic effects on transonic divergence flutter and limit cycle oscillations[J].AIAAJournal,2002,40(2):638-646.
    [6]孙芳锦,殷志祥,曹启坤,等.降阶模型及其在大跨度屋盖结构风振中的应用研究[J].工程力学,2008,25(6):128-132.
    [7]孙芳锦,殷志祥,膜结构风振中流固耦合效应的数值模拟研究[J].地震工程与工程振动,2010,30(3):136-140.
    [8]Namkooong K,Choi H,Yoo.Computation of dynamic fluid-structure interaction in two-dimensional laminar flows using combined formulation[J].Journal of Fluids and Strucutres,2005,20:51-69.
    [9]Gerbeau J F,Vidrascu M,Frey P.Fluid-structure interaction in blood flows on geometries based on medical imaging[J].Comput Struct,2005,83(2-3):155-165.
    [10]Gerbeau J F,Vidrascu M,Frey P.Fluid-structure interaction in blood flows on geometries based on medical imaging[J].Computer&Structures,2005,83(2-3):155-65.
    [11]王吉民.薄膜结构的风振响应分析和风洞试验研究[D].杭州:浙江大学,2001.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心