| 无矩阵迭代法在膜结构风振耦合分析中的应用 |
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| 引用本文： | 孙芳锦,殷志祥,张大明.无矩阵迭代法在膜结构风振耦合分析中的应用[J].地震学刊,2010(2):212-215. |
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| 作者姓名： | 孙芳锦 殷志祥 张大明 |
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| 作者单位： | [1]辽宁工程技术大学土木建筑工程学院,辽宁阜新123000 [2]辽宁工程技术大学研究生学院,辽宁阜新123000 [3]辽宁工程技术大学技术与经济学院,辽宁阜新123000 |
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| 基金项目： | 辽宁省教育厅基金项目（202183391）; 辽宁工程技术大学优秀青年科学研究基金项目（09236）; 辽宁工程技术大学博士科研启动基金项目（09-139）资助 |
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| 摘 要： | 提出在采用浸入物体法（IOM）对膜结构和空气流体建模时,可以采用带有预定条件的无矩阵Newton-Krylov迭代算法求解浸入物体法,并引入了预定条件矩阵。将提出的无矩阵迭代方法应用于一双坡型膜结构的风振耦合分析中,得出了结构的风压和风速分布,并对带有预定条件和不带预定条件的无矩阵迭代算法进行了对比。结果表明,将带有预定条件的无矩阵迭代算法应用于膜结构风振的耦合分析中,可以得到准确结果,并使计算效率大大提高。
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| 关 键 词： | 无矩阵Newton-Krylov迭代法 浸入物体法（IOM） 膜结构 风致振动 耦合效应 |
Application of No-matrix Iteration Method in Coupling of Wind-induced Vibration of Membrane Structure |
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| SUN Fang-jin,YIN Zhi-xiang,ZHANG Da-ming.Application of No-matrix Iteration Method in Coupling of Wind-induced Vibration of Membrane Structure[J].Journal of Seismology,2010(2):212-215. |
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| Authors: | SUN Fang-jin YIN Zhi-xiang ZHANG Da-ming |
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| Institution: | 1.Institute of Civil Engineering ＆ Architecture,Liaoning Technical University,Fuxin 123000,China)2.Graduate Institute,Liaoning Technical University,Fuxin 123000,China;3.Technical and Economic Institute,Liaoning Technical University,Fuxin 123000, China) |
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| Abstract: | The application of no-matrix iteration method is studied to analyze the fluid-structure interaction in wind-induced vibration of membrane structure.Firstly,immersed object method（IOM） is employed to establish the finite element formula of membrane structures and the air flow.The weak form of the fluid-structure system is given using the IOM by introducing the fictitious domain.No-matrix Newton-Krylov iteration solution with pre-condition is proposed to solve the IOM established equations,with fluid velocity,fluid pressure,and solid pressure as the main unknowns.In the method,a pre-conditioning matrix rather than Jacobian matrix is needed for the calculation.Finite difference method is adopted to substitute the allowable velocity variance,which is a key step in the method.The presented method is then applied to analyze the fluid-structure interaction in wind-induced vibration of a double-sloped membrane structure.Wind pressure distribution and velocity vectors are obtained.Comparison is made between no-matrix iteration method with pre-condition and without pre-condition.And it is found that the one with precondition can greatly simplify the calculation.No-matrix iteration method applies well in studying fluid-structure interaction in wind-induced vibration of membrane structure,with accurate results,and with pre-condition,calculation efficiency is enormously improved. |
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| Keywords: | no-matrix Newton-Krylov iteration method immersed object method（IOM） membrane structure wind-induced vibration fluid-structure interaction |
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