拓扑结构

Optimization solution algorithm is the most important in topology optimization.Algorithms fit for discrete structure and continuum structure are all investigated. Thecharacteristic and different using limit of both optimization criteria method andmathematics programming method are all analyzed in this paper. OC algorithm and theseries MMA algorithm based on SIMP approach are deducedand used for the topology optimization problem of continuum structure.

优化求解算法是拓扑优化问题求解的核心和关键，本文系统分析了适用于离散结构和连续体结构优化的优化求解算法，重点讨论了 OC 算法和 MP 算法，分析比较了不同算法的特点和适用范围，推导了基于 SIMP 理论的优化准则法和 MMA 系列算法，并将MMA 系列算法应用于连续体结构拓扑优化问题的求解。

Thecharacteristic and different using limit of both optimization criteria method andmathematics programming method are all analyzed in this paper. OC algorithm and theseries MMA algorithm based on SIMP approach are deducedand used for the topology optimization problem of continuum structure. MMA algorithm hasa bad convergence but it has a high computational efficiency, while GCMMA is excellent onconvergence and stability with bad calculation efficiency.

优化求解算法是拓扑优化问题求解的核心和关键，本文系统分析了适用于离散结构和连续体结构优化的优化求解算法，重点讨论了 OC 算法和 MP 算法，分析比较了不同算法的特点和适用范围，推导了基于 SIMP 理论的优化准则法和 MMA 系列算法，并将MMA 系列算法应用于连续体结构拓扑优化问题的求解。

Based on the ICMmethod,the discrete topological optimization problem about spot-weld's existence or not is transformed into the continuous optimization problem on[0,1].The optimization model is founded with maximizing the structural stiffness as objective and structural strength as constraints.The problem of multi-objectives and multi-constraints is transformed into the problem of single-objective and single-constraint with the K-S function.The displacement and stress are transformed into the explicit function of design variables with the Response Surface Methodology.The optimization model is solved with Sequential Quadratic Program.

基于ICM（Independent Continuous Mapping，即独立、连续、映射）方法，将焊点有无的离散拓扑优化问题转化为[0，1]区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K-S函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面方法将位移和应力转化为设计变量的显式函数，采用序列二次规划方法求解优化模型。

This thesis focuses on the network topology discovery of Network Management System.

本论文以上海市政府公众网项目"安全网络管理技术的研究与实现"课题为研究基础，对网络管理技术和网络拓扑发现技术进行了深入研究，在此基础上提出了本课题研究的网络拓扑发现系统结构，并对整个系统中各模块的功能结构进行了定义。

In this thesis we study largely two problems in the context of the φ-mapping topological current theory proposed by Prof. Yishi Duan, ranging from inner structure of homotopy in algebraic topology to topological excitations in the atomic Bose-Einstein condensates.

本论文在段一士教授提出的φ映射拓扑流理论框架内研究了两个问题：代数拓扑中同伦理论的内部结构，及原子玻色-爱因斯坦凝聚体中的拓扑激发。。。。

Based on independent continuous mapping (1CM) topology optimization theory, a new topology optimization method considering undesigning aggregates was put forward in structural optimization design of a machining center, and applied to design of the main parts to improve both the static and dynamic properties of the machining center.

在加工中心的结构优化设计过程中，提出了基于ICM法的结构拓扑优化，对主要部件的拓扑优化设计，提高了加工中心的动静态特性。

Structural topological optimization method and topological optimization module of the finite-element software ANSYS have been used for the optimum design of the supporting truss structure of stamping box sidewall of the tamping coal charging car.

采用结构拓扑优化方法，利用有限元软件ANSYS的拓扑优化模块对捣固装煤车的煤槽壁支撑桁架结构进行了优化设计。

For aiming at vibration-proof structural design,a bionic design technique of topology design optimization for vibration-proof plate and shell structures is suggested.

以抗振结构设计为目标，将仿生设计技术应用于板壳结构加强部件的分布设计中，提出了一种简单高效的结构拓扑优化设计方法，以处理具有复杂边界条件的抗振板壳结构的拓扑优化设计。

Moreover, a sensitivity redistribution method in combination with the above method is also used to control checkerboard patterns so as to have a smooth transition of each element＇s contribution to the whole structural performances.

算例表明，本文的单元材料特性更改的结构渐近拓扑优化方法与灵敏度再分配棋盘格式控制技术相结合的方法，可以得到边界清晰、结构合理的拓扑优化构形。

Metric molecular lattices and whose morphism are pointwise quasi-uniform continuous generalized order-homomorphism, which is called the cat.egory of pointwise p.q.

另外，每个由scott开集构成的拓扑也可由这种S－拟一致结构所诱导，恃别地，SCOt.t拓扑可由这种S－拟一致结构所诱导。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新