考虑流固耦合的水中结构物地震反应方法
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摘要
基于运动控制体的雷诺输运定理,采用任意拉格朗日-欧拉描述推导控制流体运动的Navier-Stokes方程;提出考虑流固耦合效应的水中结构物地震反应计算方法,并以水中垂直板的地震反应为例,阐明流固耦合体系的求解方法。分析地震动频率和水深对场地土-结构-流水构成的流固耦合系统动力反应的影响,结果表明:采用不可压缩流算法的Navier-Stokes方程能够合理模拟流场的位形变化,并保证流固耦合计算的收敛;考虑流固耦合作用使得结构地震反应幅值明显增大,并使频谱特性发生改变;水深对流固耦合效应的影响较大,并具有明显的非线性特征。
Based on Reynolds transport theory,Navier-Stokes equations governing fluid motion are set up with arbitrary Lagrangian-Eulerian description.Analysis methods of underwater structure seismic response with considering fluid-structure interaction are presented,and seismic response of a vertical plate is taken as an example to show the solving process of fluid-structure interaction system.Also in the analysis,the effects of seismic frequency and water depth on fluid-structure interaction system made up of site soil,structure and water are studied.The result indicated that Navier-Stokes equations using incompressible method can simulate motion of fluid domain and insure computing convergence in fluid-structure interaction analysis process.It also show that peak values of structure seismic response are larger,and frequency spectrum characteristics are also changed with the consideration of fluid-structure interaction.Water depth has great effect on fluid-structure interaction and has clear nonlinear feature.
Based on Reynolds transport theory,Navier-Stokes equations governing fluid motion are set up with arbitrary Lagrangian-Eulerian description.Analysis methods of underwater structure seismic response with considering fluid-structure interaction are presented,and seismic response of a vertical plate is taken as an example to show the solving process of fluid-structure interaction system.Also in the analysis,the effects of seismic frequency and water depth on fluid-structure interaction system made up of site soil,structure and water are studied.The result indicated that Navier-Stokes equations using incompressible method can simulate motion of fluid domain and insure computing convergence in fluid-structure interaction analysis process.It also show that peak values of structure seismic response are larger,and frequency spectrum characteristics are also changed with the consideration of fluid-structure interaction.Water depth has great effect on fluid-structure interaction and has clear nonlinear feature.
引文
[1]陈政清,项海帆.桥梁风工程[M].北京:人民交通出版社,2005.
[2]祝志文.桥梁风效应的数值方法及应用[M].长沙:湖南大学,2003.
[3]Dunne T,Rannacher R.Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation[C]//Fluid-Structure-Interaction:Modeling,Simulation and Optimization,Berlin:Springer,2006:110-145.
[4]Vierendeelsa J,Dumontb K,Verdonckb P R.A partitioned strongly coupled fluid-structure interaction method to model heart valve dynamics[J].Journal of Computational and Applied Mathematics,2008,(215):602-609.
[5]Dettmer W,Peric D.A computational framework for fluid-structure interaction:finite element formulation and applications[J].Computer Meth-ods in Applied Mechanics and Engineering,2006,(195):5754-5779.
[6]黄克智,薛明德,陆明万.张量分析[M].北京:清华大学出版社,2006.
[7]黄筑平.连续介质力学基础[M].北京:高等教育出版社,2003.
[8]Hrona J,M偄dl姫kb M.Fluid-structure interaction with applications in biomechanics[J].Nonlinear Analysis:Real World Applications,2007(8):1431-1458.
[9]Wu S.A robust formulation for solving fluid-structure interaction problems[J].Computational Mechanics,2001,(27):69-74.
[10]Sigrist F J,Garreau S.Dynamic analysis of fluid-structure interaction problems with modal methods using pressure-based fluid finite elements[J].Finite Elements in Analysis and Design,2007,(43):287-300.
[2]祝志文.桥梁风效应的数值方法及应用[M].长沙:湖南大学,2003.
[3]Dunne T,Rannacher R.Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation[C]//Fluid-Structure-Interaction:Modeling,Simulation and Optimization,Berlin:Springer,2006:110-145.
[4]Vierendeelsa J,Dumontb K,Verdonckb P R.A partitioned strongly coupled fluid-structure interaction method to model heart valve dynamics[J].Journal of Computational and Applied Mathematics,2008,(215):602-609.
[5]Dettmer W,Peric D.A computational framework for fluid-structure interaction:finite element formulation and applications[J].Computer Meth-ods in Applied Mechanics and Engineering,2006,(195):5754-5779.
[6]黄克智,薛明德,陆明万.张量分析[M].北京:清华大学出版社,2006.
[7]黄筑平.连续介质力学基础[M].北京:高等教育出版社,2003.
[8]Hrona J,M偄dl姫kb M.Fluid-structure interaction with applications in biomechanics[J].Nonlinear Analysis:Real World Applications,2007(8):1431-1458.
[9]Wu S.A robust formulation for solving fluid-structure interaction problems[J].Computational Mechanics,2001,(27):69-74.
[10]Sigrist F J,Garreau S.Dynamic analysis of fluid-structure interaction problems with modal methods using pressure-based fluid finite elements[J].Finite Elements in Analysis and Design,2007,(43):287-300.
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