本书介绍特征驱动的结构优化设计新方法，针对目前结构优化设计结果工程特征差、工程设计意图难以体现、加工工艺约束施加难等问题，全面阐述拓扑优化方法与机械特征设计技术相结合的新途径。本书致力于阐述先进结构优化设计方法前沿，对于搭建力学性能设计和工程特征设计的桥梁具有现实的科学意义和工程价值，为培养优秀的结构优化设计研究人员及工程师提供教材。本书主要面向对先进结构优化设计方法前沿感兴趣的本科生及研究生，机械工程、汽车工程、航空航天工程、土木工程等领域的教师及研究人员，包括但不限于机械、汽车、航空航天、土木等领域的结构设计工程师。

Chapter 1 Introduction
1.1 Overview and motivation
1.2 Feature-based modeling and design in CAD
1.3 Feature-driven structural optimization
1.4 Layout of the book
References
Chapter 2 Level-set functions and parametric functions
2.1 Definitions of level-set function and parametric function
2.1.1 Basic notions and geometric interpretations
2.1.2 Gradient, curvature, and convexity
2.2 Heaviside function, Dirac delta function, and regularized forms
2.2.1 Basic notions
2.2.2 Regularized Heaviside function and Dirac delta function
2.3 Typical level-set functions
2.3.1 Signed distance function and first-order approximation
2.3.2 Radial basis function
2.3.3 Implicit B-spline
2.4 Relationship between implicit and parametric functions
2.4.1 Transformation between implicit and parametric functions
2.4.2 Parametric function for the point-in-polygon test
References
Chapter 3 Basic operations of level-set functions
3.1 Operations of a single level-set function
3.1.1 Translation, rotation, and scaling operations
3.1.2 Twisting, sweeping, and polynomial operations
3.2 Operations of multiple level-set functions
3.2.1 Blending operation
3.2.2 Boolean operations of features
3.2.3 Boolean operations of features with max and min functions
3.3 Typical max and min functions
3.3.1 R-function
3.3.2 Ricci function
3.3.3 KS function
3.3.4 Step function
3.4 Examples of modeling 2 - D and 3 - D mechanical parts
References
Chapter 4 B-spline finite cell method fur structural analysis
4.1 Introduction to B-spline finite cell method
4.1.1 B-spline basis function
4.1.2 Basic theory of B-spline finite cell method
4.1.3 Cell refinement with quadtree/octree scheme
4.2 Imposition of the Dirichlet boundary condition with the Web method
4.2.1 Imposition methods of the Dirichlet boundary condition
4.2.2 Weighted B-spline finite cell method
4.2.3 Formulations of the weighting function and the boundary value function
4.3 Numerical examples
4.3.1 Infinite plate with a circular hole
4.3.2 A cylindrical sector subject to harmonic Dirichlet boundary conditions
4.3.3 A cylinder subject to prescribed radial displacement and temperature
4.3.4 Thermoelastic stress analysis of a heat exchanging device with prescribed temperature
References
Chapter5 Feature-based modeling and sensitivity analysis for structural optimization
5.1 Feature-based modeling with level-set functions
5.1.1 Freeform design domain modeler
5.1.2 Topology variation modeler
5.1.3 Action of the TVM onto the FDDM
5.2 Problem statement of feature-driven optimization
5.2.1 Mathematical formulations
5.2.2 Numerical treatments of active stress constraints
5.3 Feature-based sensitivity analysis
5.3.1 Sensitivity analysis with the domain integral scheme
5.3.2 Sensitivity analysis with boundary integral scheme
5.3.3 Sensitivity property with design domain preserving
5.3.4 Hamilton-Jacobi equation for the unification of implicit and parametric formulations
References
Chapter 6 Feature-driven optimization method and applications
6.1 Unification of implicit and parametric shape optimization
6.1.1 Implicit shape optimization with level-set functions
6.1.2 Unified shape optimization with parametric functions and fixed mesh
6.2 Shape optimization of the Dirichlet and free boundaries
6.2.1 Shape optimization of the Dirichlet boundary
6.2.2 Simultaneous shape optimization of free and Dirichlet boundaries
6.3 Topology optimization of the regular design domain
6.3.1 RBF-based topology optimization
6.3.2 Feature-driven topology optimization
6.3.3 CBS-based topology optimization
6.4 Topology optimization of the freeform design domain
6.4.1 RBF-b