Precise Integration Method for Solving FluidSolid Coupling Problems

Abstract

Abstract: In order to solve the problem of poor efficiency and low accuracy in solving fluidsolid coupling problems, the method of increasing dimension precise integration is introduced. According to the finite element theory, fluidsolid coupling equation can be derived; then the equation is written in the form of state space. The dimension of augmented matrix only enlarges one, and the integration is transformed into algebraic operation. It expands the scope of application of the precise integration method. The results show that because the inverse matrix of the iteration matrix H need not be solved, the instability of the computational solution caused by the singularity of the matrix is avoided. By comparing the results calculated by using the augmented precise integration method and the Newmark method, the results of the two ones are consistent, and in the case of a larger computation time step the proposed method does not affect the accuracy of calculation.

Key words: fluidsolid interaction, dynamic timehistory analysis; , precise integration method

CLC Number:

O175.3

WU Zeyu1,2,WANG Dongwei3,WANG Zhihao2,SONG Li1,FEI Xiaoxia4. Precise Integration Method for Solving FluidSolid Coupling Problems[J]. Journal of Shanghai Jiaotong University, 2017, 51(6): 756-760.

References

［1］WANG J T, CHOPRA A K. Linear analysis of concrete arch dams including damwaterfoundation rock interaction considering spatially varying ground motions［J］. Earthquake Engineering and Structural Dynamics, 2010, 39(7): 731750.
［2］YANG C Y, SANCHEZSESMA F J, WANG H, et al. Hydrodynamic pressures on dams with inclined face［J］. Journal of the Engineering Mechanics Division, 2014, 105(8): 717722.
［3］HU D, LONG T, XIAO Y H, et al. Fluidstructure interaction analysis by coupled FESPH model based on a novel searching algorithm ［J］. Journal of Aerospace Engineering, 2014, 276(3): 266286.
［4］王超, 李红云, 刘正兴. 流固耦合系统动力响应分析的精细时程积分法［J］. 上海交通大学学报, 2002, 36(3): 399402.
WANG Chao, LI Hongyun, LIU Zhengxing. Precise time integration method for analysis of dynamic response s of solid fluid coupling system［J］. Journal of Shanghai Jiao Tong University, 2002, 36(3): 399402.
［5］WESTERGARD H M. Water pressure on dams during earthquakes［J］. Trans ASCE, 1933, 98(2): 418433.
［6］李遇春, 楼梦霖, 尚伟. 大型渡槽抗震分析中的位移有限元模式［J］. 水利学报, 2003, 21 (3): 9397.
LI Yuchun, LOU Menglin, SHANG Wei. Displacement based fluid finite element for seismic resistant analysis of large scale aqueduct［J］. Journal of Hudraulic Engineering, 2003, 21(3): 9397.
［7］ZIENKIEWICZ O C, TAYLOR R L, ZHU J Z. Finite element method［M］. Singopore: Elsevier, 2008.
［8］MOLER C, LOAN VON C. Nineteen dubious ways to compute the exponential of a matrix, twentyfive years later［J］. Society for Industrial and Applied Mechanics, 2003, 5(1): 349.
［9］钟万勰. 结构动力方程的精细事成积分法［J］. 大连理工大学学报，1994, 34(2): 131136.
ZHONG Wanxie. On precise time integration method for structural dynamics［J］. Journal of Dalian University of Technology, 1994, 34(2): 131136.
［10］钟万勰. 暂态历程的精细计算方法［J］. 计算结构力学及其应用, 1995, 12(1): 16.
ZHONG Wanxie. Precise computation for transient analysis［J］. Computational Structural Mechanics and Applications, 1995, 12(1): 16.
［11］中华人民共和国国家经济贸易委员会. 水工建筑物抗震设计规范:D5073—2000［S］. 北京:中国水利水电科学研究院, 2000.

[1]	YANG Zhen,FU Zhuang,GUAN Enguang,XU Jiannan,TIAN Shihe,ZHENG Hui. The Kinematic Analysis and Structure Optimization of MLattice Modular Robot [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1153-1159.
[2]	ZHAO Jun1,YU Haidong2. Dynamic Analysis of TwoLink Flexible Manipulators Based on the Absolute Nodal Coordinate Formulation [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1160-1165.
[3]	ZHAO Ziren1,DU Shichang1,HUANG Delin1,REN Fei2,LIANG Xinguang2. Modelling and Bottleneck Analysis of Product Quality in Transient Phase of MultiStage Manufacturing Systems Based on Markovian Chains [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1166-1173.
[4]	HUANG Xuangui. Algorithm for Relatively Small Planted Clique with Small Edge Probability [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1202-1206.
[5]	LUO Jingjinga,YU Haidonga,ZHAO Chunzhanga,b,WANG Haoa,b. Study on Motion Stability of Variable CrossSection Flexible Beams Based on the Absolute Nodal Coordinate Formulation [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1174-1180.
[6]	WANG Yibo1,HUANG Yixiang1,LI Bingchu1,LING Xiao1 ZHAO Shuai1,LIU Chengliang1,ZHANG Daqing2. An Improved Modal Simulation Method for Switched Reluctance Motor Based on Static PreComputation [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1181-1188.
[7]	ZHOU Binghai,LI Ming. Scheduling Method of Manufacturing Cells with Robot Restricted Processing [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1214-1219.
[8]	CHEN Jinping1,ZHANG Shusheng1,HE Weiping1,WANG Mingwei1,HUANG Hui2. Feasible Change Path Search and Optimization Method Based on Driving Parameter Modeling [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1220-1227.
[9]	ZHOU Penghui,MA Hongzhan,CHEN Dongping,CHEN Mengyue,CHU Xuening. Identification of Product Redesign Modules Based on Fuzzy Random Failure Mode and Effects Analysis [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1189-1195.
[10]	PENG Cheng,ZHU Jianyun,CHEN Li. Mode Transition for a Hybrid Electric Vehicle Based on Model Reference Control [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1196-1201.
[11]	LIU Wei,YANG Chao . A Study on Injection Mould Part Quotation Model Based on Back Propagation Neural Network [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1207-1213.
[12]	CHEN Suting，WANG Zhuo，WANG Qi. Aerial Scene Classification Based on Nonlinear Scale Space [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1228-1234.
[13]	CHEN Ning,HE Xiaobin,GUI Weihua,YANG Chunhua. Research on Image Encryption System Based on Chaotic Discrete Sequence [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1273-1280.
[14]	LIU Kaia，ZHANG Liminb，ZHOU Lijuna. Design of Random Restricted Boltzmann Machine Group [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1235-1240.
[15]	ZHU Xinyao1，SONG Baowei2,XU Gang1,YANG Songlin1. Research on Landing Strategy and Influencing Factors of an Autonomous Underwater Vehicle with Supporting Mechanism [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1241-1251.