simp

Study on Conceptual Design of Structure Based on SIMP Topology Optimization Theory

基于SIMP拓扑优化理论的结构概念设计研究

SIMP Method Based on Topology Optimization of Heat Conduction Structure

基于SIMP方法的散热结构拓扑优化设计

Single-motor construction , simp , e screw tube design , few operating parts .

单电机，螺纹管设计结构简洁，传动件少。

Topology Optimization for Shape Morphing Compliant Trailing Edge Using SIMP and GA

基于SIMP和GA变形柔性机翼后缘的拓扑优化

The SIMP method and the heat conduction analyze model are integrated to formulate topology optimization model of heat radiation structures .

运用密度惩罚法和热传导分析模型研究了散热结构拓扑优化模型。

In my paper , the researching emphasis is 3-D solid structures topology optimization considering attitude control effort based on SIMP method .

本文研究重点就是基于变密度法的考虑姿态控制成本的三维连续体结构拓扑优化。

Objective : To explore the application of a quick , simp , cheap and non-invasive in acute leukemia diagnosis .

目的：寻求更为快速、简捷、价廉、无创性的诊断急性白血病的新方法。

Aimed at the mathematical instability of the SIMP model solving , the Exchange Element Filter method could eliminate the checkerboard numerical instability phenomenon effectively .

针对采用SIMP模型求解产生的数字不稳定性现象，提出了交换单元过滤法，有效地消除了棋盘格式现象，改善了结构可制造性能。

Based on SIMP , an optimization criteria ( OC ) algorithm and a method of moving asymptotes ( MMA ) used in topology optimization were deduced .

分析了适用于拓扑优化计算中的两种不同优化数值算法，推导了基于材料密度方法的优化准则法公式和移动渐进优化算法的求解公式。

The OC algorithm and the MMA ( method of moving asymptotes ) algorithm based on SIMP approach are deduced and used for the topology optimization problem of continuum structure .

研究了拓扑优化求解算法，主要是优化准则算法（OC）和数学规划算法（MP），推导了基于SIMP模型的优化准则算法和移动渐进线算法。

Some issues about this method were studied which including the position of crystal nucleus , the value of power exponent in SIMP model , the density filter domain and the type of object function .

研究了晶核位置、密度幂指数、密度过滤影响域以及目标函数形式对晶核法的影响。

A solution which uses SIMP model to adjust penalty factor to control checkerboard and adopts filtering the sensitivities technology to control mesh dependency , is pointed out to avoid numerical instability phenomenon .

介绍了一些常见解决方法，并指出了一条解决思路，即利用SIMP模型，通过控制惩罚因子，对中间密度材料和棋盘格式进行惩罚，再采用敏度过滤技术，控制网格依赖问题。

Combining perimeter constraints and the solid isotropic material with penalization ( SIMP ) law , the optimal distributions of multiphase materials are obtained by elimination of checkerboards .

结合伪密度法和周长控制消除了多相材料分布的棋盘格。

Using MATLAB program language , we innovative develop a multi-objective variable density punishment topology optimization method , which is an effective solution to the limitation of the SIMP method that can only solve one target state .

采用MATLAB编程语言开发出一种多目标变密度惩罚法拓扑优化方法，有效解决了SIMP方法只能解决一个目标状态的局限。

The three-dimensional structural optimization result using the SIMP method is compared with that based on the level set model . The three-dimensional structural topology optimization based on the level set model has no problem of dependence of initial topological guess .

通过与基于水平集方法的三维弹性结构拓扑优化结果比较，得出基于水平集的三维结构拓扑优化设计不存在初始拓扑猜测依赖性问题。

Using the so-called Solid Isotropic Material with Penalization ( SIMP ) method to evaluate the macroscopic property of the material , the bar-section topology optimization model to maximize the torsional rigidity is formulated .

以扭转刚度为目标函数，采用实体各向同性材料惩罚函数法（SIMP）来确定微结构的宏观性能，建立了优化模型。

Numerical algorithm of topology optimization for heat conduction structure is analyzed using SIMP method and optimality criteria . Several representative numerical experiments are implemented in MATLAB . The results of the experiments are compared with the results of level set method .

运用SIMP方法和相关优化准则分析了散热结构拓扑优化设计的数值算法，在MATLAB环境中完成了几种典型结构的拓扑优化实验，并把相关实验结果与levelset方法得到的优化结果进行了对比分析。

Compared with topology model based on SIMP interpolation scheme , difference of the new model lies only on expression and numerical value of derivatives . So methods for topology optimization model are developed and the same algorithm for the new model is ensured .

与SIMP插值函数下的ICM拓扑优化模型相比，仅一、二阶导数表达式不同，拓展了优化建模方法并保证了优化求解算法的一致性。

Usually SOLA-VOF which is one of the SIMP calculation methods is used to solve the fundamental equations of incompressible viscose fluid ( momentum equation and continuity equation ), but calculation precision and velocity of the methods are not very good .

通常求解粘性不可压流体的基本方程（动量方程及连续性方程）往往采用SOLAVOF算法，但该方法计算精度和速度并不是很好。

For this reason , we proposed the topology optimization formulation of couple-stress continuum and generalized the classic SIMP scheme to the couple-stress continuum . Moreover , we discussed the numerical instabilities and recommended the corresponding prevention schemes .

基于此，本文将经典的SIMP模型推广至偶应力介质，研究了偶应力介质的拓扑优化问题，考察了其数值不稳定现象并且建议了相应的解决方案。

Therefore , this paper focuses on this research work , including : 1 . Introduce the development about the topology optimization technique in short , and expatiate the method utilized in this paper : topology optimization based on Homogenization Method and SIMP ( Solid Isotropic Material Penalization ) .

简要综述了拓扑优化的发展现状，较详细地介绍了本文所应用的拓扑优化方法：拓扑优化的均匀化方法和密度惩罚法；

It is found that due to the penalty factor of the SIMP method , the ratio of the density to stiffness is greater in the solid region than in the void region . Such a difference consequently results in the appearance of localized modes in the void region .

结果表明，由于实体各向同性材料惩罚函数法（SIMP）使用了指数惩罚因子，空洞区域的密度与刚度差异远远大于实体区域，导致空洞区域局部模态的产生。