流固耦合動力學--理論變分原理數值方法及應用(英文版)(精)
內容大鋼
本書是一部詳盡的研究流固耦合動力學的專著，提供了工程中各式各樣線性和非線性流固耦合問題的理論、數值方法與解答。本書從力學原理出發，結合作者多年從事該研究及求解複雜流固耦合問題的實踐經驗，系統討論了所探討問題的基本理論、描述方法及數值建模、求解過程及解答，給出了四種經實踐驗證有效的混合型數值求解方法，分別求解了聲腔結構耦合、海洋結構與無窮水域的相互作用、大流動與涉及兩相分離，破碎波的非線性耦合問題。這些方法適用於求解所有工程領域出現的同類流固耦合問題。作者在敘述每一方法的基本知識后，總是通過一些簡單直觀或工程實用的例子清晰說明求解過程和結果，盡可能同可用的實驗或分析計算結果比較，以便讀者學習理解方法及其求解精度和工程應用價值。期望讀者在學習和理解了本書介紹的方法后，能獨立地建模並求解其所關心的工程流固耦合問題。
作者介紹
邢景棠|責編:王超
邢景棠（Jing Tang Xing），英國南安普敦大學工程及物理學部工學院流固耦合研究組榮譽應用力學教授。1967年畢業於西北工業大學航空系，後於航空結構與強度研究所工作，有十年從事航空結構振動及動力試驗的經驗。作為中國清華大學工程力學系首屆授予學位的研究生，分別于1981和1984年獲固體力學專業碩士和博士學位。從博士期間開始，作者一直從事流固耦合動力學的教學及科研工作，至今約三十五年。作者發表了許多有關流固耦合、動力學變分原理、振動與控制及數值方法的理論和應用力學論文，是專著Energy Flow Theory of Nonlinear Dynamical Systems with Applications（《非線性動力系統能流理論及應用》）的作者。
目錄
Preface
1.Introduction
1.1 Fluid-solid interaction dynamics and its characteristics
1.2 Fluid -solid interaction problems in engineering
1.3 Solution approaches to fluid-solid interaction problems
1.3.1 Approximate solution with no fluid-solid interaction
1.3.2 Quasicoupling approximation method
1.3.3 Solution of integrated coupling fields
1.4 Approaches to deriving numerical equations
1.4.1 Problem and its governing equations
1.4.2 Analytical solution
1.4.3 Variational formulations and Rayleigh-Ritz method
1.4.4 Finite element method
1.4.5 Weighted residual methods
1.4.6 Finite difference method
1.5 Short historical review on fluid-solid interaction
1.5.1 Terms of fluid-solid interaction and its subdisciplines in literatures
1.5.2 Historical remarkable events and progress on fluid-solid interaction
1.5.3 World-recognized conferences
1.5.4 Influential review papers
1.5.5 Important books on fluid-solid interaction
1.6 Main aim and characteristics of this book
1.7 Suggestions how to choose some contents as lecture notes
2.Cartesian tensor and matrix calculus
2.1 Cartesian tensor
2.1.1 Vector
2.1.2 Summation convention
2.1.3 Kronecker delta
2.1.4 Permutation symbol
2.1.5 e-δ ldentity
2.1.6 Differentiation of a function f (X1,X2,X3)
2.1.7 Transformation of coordinates
2.1.8 Tensor
2.1.9 Quotient rule
2.1.10 Index forms of some important variables
2.1.11 Two primary identities
2.2 Matrix calculus
2.2.1 Types of matrix derivatives
2.2.2 Derivatives with vectors
2.2.3 Derivatives with matrices
2.2.4 Identities
2.3 Exercise problems
2.3.1 Problem 1: prove the following formulations
2.3.2 Problem 2: prove the identity of three arbitrary vectors
2.3.3 Problem 3: express the constitutive equation in a tensor form
2.3.4 Problem 4: write the tensor equation in a coordinate (xyz) form
2.3.5 Problem 5: prove the following identities using index notations
2.3.6 Problem 6: prove eikajajbk=0 for nonzero vectors a and b
3.Fundamentals of continuum mechanics
3.1 Descriptions of the motion of a continuum
3.1.1 Material frame of reference
3.1.2 Spatial frame of reference
3.1.3 Arbitrary Lagrange Euler frame of reference
3.1.4 Updated Lagrangian system
3.1.5 Updated arbitrary Lagrange Euler system
3.2 Analysis of deformation
3.2.1 Displacement and strain
……
4.Variational principles of linear fluid-solid interaction systems
5.Solutions of some linear fluid-solid interaction problems
6.Preliminaries of waves
7.Finite element models for linear fluid-structure interaction problems
8.Mixed finite element-boundary element model for linear water-structure interactions
9.Hydroelasticity theory of ship-water interactions
10.Variational principles for nonlinear fluid-solid interactions
11.Mixed finite element-computational fluid dynamics method for nonlinear fluid-solid interactions
12.Mixed finite element-smoothed particle methods for nonlinear fluid-solid interactions
Appendix: Numerical methods solving finite element dynamic equations
Bibliography
Index
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