管阵动力响应的模态分析
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摘要
核反应堆堆心、热交换器之类的重要结构是由浸没在流体中的有着规则排列的大量管梁组成,流固耦合作用是影响管束动力响应的重要现象。很多研究者为了提出一个可以预测管束全局行为的数学模型作了不少努力。本文基于张提出的三维耦合模型,在流体域采用流体速度势而非压力作为基本未知量,从而避免了采用压力格式而导致的系数矩阵非对称性的弊端,得到了易于求解的陀螺系统,通过计算系统特征值,利用模态展开法,求得了地震激励下系统的动力响应。
Important structures like nuclear reactor cores, heat exchangers, are schematically composed of a great number of beams immersed in fluid. The fluid - structure interaction is an important phenomenon influencing the dynamical response of the bundle. Much effort has been made upon the development of a mathematical model capable of predicting the global behavior of the beam bundle. Based on the 3 - D homogenization model derived by Zhang, using the fluid velocity potential rather than pressure as the fundamental unknown in the fluid region, the principal disadvantage of the pressure formulation resulting in non - symmetric coefficient matrices is removed. It gives rise to the gyroscopic system, which makes it relatively easy to calculate the eigenvalues of the fluid - structure system. Through modal expansions, the dynamical responses of the system under seismic exciation are presented.
Important structures like nuclear reactor cores, heat exchangers, are schematically composed of a great number of beams immersed in fluid. The fluid - structure interaction is an important phenomenon influencing the dynamical response of the bundle. Much effort has been made upon the development of a mathematical model capable of predicting the global behavior of the beam bundle. Based on the 3 - D homogenization model derived by Zhang, using the fluid velocity potential rather than pressure as the fundamental unknown in the fluid region, the principal disadvantage of the pressure formulation resulting in non - symmetric coefficient matrices is removed. It gives rise to the gyroscopic system, which makes it relatively easy to calculate the eigenvalues of the fluid - structure system. Through modal expansions, the dynamical responses of the system under seismic exciation are presented.
引文
[1] Schumann U. Homogenized equation of motion for rod bundles in the fluid with periodic structure. Ingenieur-Archiv, 1981,50:203-216
[2] Brochard D. Hammami L. An homogenization method applied to the seismic analysis of LMFBR cores. SMiRT 11 Transactions Japan, August 1991, E:497-503 TOkyo,
[3] 张若京.反应堆堆心的三维动力学模型.第9届全国反应堆结构力学会议论文集,1996
[4] 张若京.统一的管阵流固耦合介质均匀化模型.力学学报,1997,29:220-223
[5] 张若京.管束-流体耦合振动的附加质量和等效声速,现代力学与科技进步--庆祝中国力学学会成立40周年.北京:清华大学出版社,1997,559-562
[6] Zhang R J. A unified 3-D homogeniation model of beam bundle in fluid. Transactions of the ASME, Journal of Pressure Vessel Technology, 1998, 120: 56-61
[7] Zhang R J. Structural homogenized analysis for nuclear reactor core. Nuclear Engineering and Design, 1998, 183: 151-156
[8] Zhang R J. A beam bundle in a compressible inviscid fluid. Transactions of the ASME, Journal of Applied Mechanics, (in press)
[9] 戴大农,王勖成,杜庆华.流固耦合系统动力响应的模态分析理论.固体力学学报,1990,11(4) :305-312
[10] 王伟桥,张若京.核反应堆堆芯的地震响应分析.同济大学学报,1999,27(4)
[2] Brochard D. Hammami L. An homogenization method applied to the seismic analysis of LMFBR cores. SMiRT 11 Transactions Japan, August 1991, E:497-503 TOkyo,
[3] 张若京.反应堆堆心的三维动力学模型.第9届全国反应堆结构力学会议论文集,1996
[4] 张若京.统一的管阵流固耦合介质均匀化模型.力学学报,1997,29:220-223
[5] 张若京.管束-流体耦合振动的附加质量和等效声速,现代力学与科技进步--庆祝中国力学学会成立40周年.北京:清华大学出版社,1997,559-562
[6] Zhang R J. A unified 3-D homogeniation model of beam bundle in fluid. Transactions of the ASME, Journal of Pressure Vessel Technology, 1998, 120: 56-61
[7] Zhang R J. Structural homogenized analysis for nuclear reactor core. Nuclear Engineering and Design, 1998, 183: 151-156
[8] Zhang R J. A beam bundle in a compressible inviscid fluid. Transactions of the ASME, Journal of Applied Mechanics, (in press)
[9] 戴大农,王勖成,杜庆华.流固耦合系统动力响应的模态分析理论.固体力学学报,1990,11(4) :305-312
[10] 王伟桥,张若京.核反应堆堆芯的地震响应分析.同济大学学报,1999,27(4)
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