• Title/Summary/Keyword: SIMP

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The SIMP-SRV Method for Stiffness Topology Optimization of Continuum Structures

  • Zhou, Xiangyang;Chen, Liping;Huang, Zhengdong
    • International Journal of CAD/CAM
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    • v.7 no.1
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    • pp.41-49
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    • 2007
  • In density-based topology optimization, 0/1 solutions are sought. Discrete topological problems are often relaxed with continuous design variables so that they can be solved using continuous mathematical programming. Although the relaxed methods are practical, grey areas appear in the optimum topologies. SIMP (Solid Isotropic Microstructures with Penalization) employs penalty schemes to suppress the intermediate densities. SRV (the Sum of the Reciprocal Variables) drives the solution to a 0/1 layout with the SRV constraint. However, both methods cannot effectively remove all the grey areas. SRV has some numerical aspects. In this work, a new scheme SIMP-SRV is proposed by combining SIMP and SRV approaches, where SIMP is employed to generate an intermediate solution to initialize the design variables and SRV is then adopted to produce the final design. The new method turned out to be very effective in conjunction with the method of moving asymptotes (MMA) when using for the stiffness topology optimization of continuum structures for minimum compliance. The numerical examples show that the hybrid technique can effectively remove all grey areas and generate stiffer optimal designs characterized with a sharper boundary in contrast to SIMP and SRV.

Design of Stereo Image Match Processor for Real Time Stereo Matching (실시간 스테레오 정합을 위한 스테레오 영상 정합 프로세서 설계)

  • Kim, Yeon-Jae;Sim, Deok-Seon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.2
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    • pp.50-59
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    • 2000
  • Stereo vision is a technique extracting depth information from stereo images, which are two images that view an object or a scene from different locations. The most important procedure in stereo vision, which is called stereo matching, is to find the same points in stereo images. It is difficult to match stereo images in real time because stereo matching requires heavy calculation. In this Paper we design a digital VLSI to Process stereo matching in real time, which we call stereo image match processor (SIMP). For implementation of real time stereo matching, sliding memory and minimum selection tree are presented. SIMP is designed with pipeline architecture and parallel processing. SIMP takes 64 gray level 64$\times$64 stereo images and yields 8 level 64 $\times$64 disparity map by 3 bit disparity and 12 bit address outputs. SIMP can process stereo images with process speed of 240 frames/sec.

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3-D Topology Optimization by a Nodal Density Method Based on a SIMP Algorithm (SIMP 기반 절점밀도법에 의한 3 차원 위상최적화)

  • Kim, Cheol;Fang, Nan
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.412-417
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    • 2008
  • In a traditional topology optimization method, material properties are usually distributed by finite element density and visualized by a gray level image. The distribution method based on element density is adequate for a great mass of 2-D topology optimization problems. However, when it is used for 3-D topology optimization, it is always difficult to obtain a smooth model representation, and easily appears a virtualconnect phenomenon especially in a low-density domain. The 3-D structural topology optimization method has been developed using the node density instead of the element density that is based on SIMP (solid isotropic microstructure with penalization) algorithm. A computer code based on Matlab was written to validate the proposed method. When it was compared to the element density as design variable, this method could get a more uniform density distribution. To show the usefulness of this method, several typical examples of structure topology optimization are presented.

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Optimizing structural topology patterns using regularization of Heaviside function

  • Lee, Dongkyu;Shin, Soomi
    • Structural Engineering and Mechanics
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    • v.55 no.6
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    • pp.1157-1176
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    • 2015
  • This study presents optimizing structural topology patterns using regularization of Heaviside function. The present method needs not filtering process to typical SIMP method. Using the penalty formulation of the SIMP approach, a topology optimization problem is formulated in co-operation, i.e., couple-signals, with design variable values of discrete elements and a regularized Heaviside step function. The regularization of discontinuous material distributions is a key scheme in order to improve the numerical problems of material topology optimization with 0 (void)-1 (solid) solutions. The weak forms of an equilibrium equation are expressed using a coupled regularized Heaviside function to evaluate sensitivity analysis. Numerical results show that the incorporation of the regularized Heaviside function and the SIMP leads to convergent solutions. This method is tested using several examples of a linear elastostatic structure. It demonstrates that improved optimal solutions can be obtained without the additional use of sensitivity filtering to improve the discontinuous 0-1 solutions, which have generally been used in material topology optimization problems.

Topology optimization of bracing systems in buildings considering the effects of the wind

  • Paulo U. Silva;Rayanne E.L. Pereira;Gustavo Bono
    • Structural Engineering and Mechanics
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    • v.86 no.4
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    • pp.473-486
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    • 2023
  • Nowadays, urban centers are increasingly vertical, making architects and engineers look for more efficient tools to analyze the effects of wind on tall buildings. Topology optimization can be used as an efficient tool for the design of bracing systems. Therefore, this work obtained the wind loads that act in the CAARC building, following the Brazilian standard NBR 6123/1988 and using Computational Fluid Dynamics. Four loading situations were considered, using the SIMP and BESO methods to optimize two-dimensional structures. A comparison between the SIMP and BESO methods is presented, showing the differences in the geometry of the solution found by both methods, the percentage variation in the objective function values and the dimensionless processing time. The solutions obtained through the loads obtained by the Brazilian standard are also compared with the numerical solutions obtained by CFD. The results show that the BESO method presented more rigid structures compared to the SIMP method. The bracing structures obtained with the SIMP method always present similar patterns in the distribution and quantity of bars, in contrast to the BESO method where no characteristic topology pattern was observed. It was concluded that even though the structures obtained by the BESO method presented greater stiffness, the SIMP method was less susceptible to the methodology used for the determination of wind loads. Additionally, it was evident the great potential that the combination topology optimization and computational wind engineering have in the design of bracing systems of high functional and aesthetic standards.

Elite-initial population for efficient topology optimization using multi-objective genetic algorithms

  • Shin, Hyunjin;Todoroki, Akira;Hirano, Yoshiyasu
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.4
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    • pp.324-333
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    • 2013
  • The purpose of this paper is to improve the efficiency of multi-objective topology optimization using a genetic algorithm (GA) with bar-system representation. We proposed a new GA using an elite initial population obtained from a Solid Isotropic Material with Penalization (SIMP) using a weighted sum method. SIMP with a weighted sum method is one of the most established methods using sensitivity analysis. Although the implementation of the SIMP method is straightforward and computationally effective, it may be difficult to find a complete Pareto-optimal set in a multi-objective optimization problem. In this study, to build a more convergent and diverse global Pareto-optimal set and reduce the GA computational cost, some individuals, with similar topology to the local optimum solution obtained from the SIMP using the weighted sum method, were introduced for the initial population of the GA. The proposed method was applied to a structural topology optimization example and the results of the proposed method were compared with those of the traditional method using standard random initialization for the initial population of the GA.

Material Topology Optimization Design of Structures using SIMP Approach Part I : Initial Design Domain with Topology of Partial Holes (SIMP를 이용한 구조물의 재료 위상 최적설계 Part I : 부분적인 구멍의 위상을 가지는 초기 설계영역)

  • Lee, Dong-Kyu;Park, Sung-Soo;Shin, Soo-Mi
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.1
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    • pp.9-18
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    • 2007
  • This study shows an implementation of partial holes in an initial design domain in order to improve convergences of topology optimization algorithms. The method is associated with a bubble method as introduced by Eschenauer et al. to overcome slow convergence of boundary-based shape optimization methods. However, contrary to the bubble method, initial holes are only implemented for initializations of optimization algorithm in this approach, and there is no need to consider a characteristic function which defines hole's deposition during every optimization procedure. In addition, solid and void regions within the initial design domain are not fixed but merged or split during optimization Procedures. Since this phenomenon activates finite changes of design parameters without numerically calculating movements and positions of holes, convergences of topology optimization algorithm can be improved. In the present study, material topology optimization designs of Michell-type beam utilizing the initial design domain with initial holes of varied sizes and shapes is carried out by using SIMP like a density distribution method. Numerical examples demonstrate the efficiency and simplicity of the present method.

An Empirical Study on Web Site User-Interface Evaluation For Service Information Management (서비스정보관리자를 위한 웹사이트 인터페이스 평가요인에 관한 연구)

  • 김명옥
    • The Journal of Society for e-Business Studies
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    • v.7 no.1
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    • pp.19-34
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    • 2002
  • The main objective of this research is to find out whether there exist any user interface factors that influence service information management professionals(SIMP)'s business activities on the web. The result of this study shows that there exists a significant level of difference between two groups of office Professionals: SIMP and general office management professionals on user interface factors. We analyzed the past and current research results and focused on four major evaluation categories: (1) web design, (2) structure, (3) navigation, and (4) interaction and identified 26 evaluation items in those categories. The study has been initiated by an intuition that there might be a significant difference in sets of user interface factors that influence SIMP and general office professionals. From the list of Best 100 Web Sites the best 30 information-providing web sites and the best 30 service-providing web sites were carefully chosen by a panel of 10 members for each group. To evaluate 60 web sites, another panel was formed by 30 professionals from each group, and they conducted evaluation in their own work settings. Reliability analysis on user interface factors and T-test to find out any influencing factors on SIMP were performed. As a result of this study, we have recognized that clarity, formation, consciseness, economics, and robustness are the most influencing user interface factors for web designers to concern when they develop web sites for SIMP. The study result can be improved by enhancing reliability of choosing target web sites In investigate and panel members. Also, in the future study it is recommended to investigate influencing factors for office professionals in terms of. age, sex, experience, academic background, etc.

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Automatic Generation of Dynamic Equations for Robotic Manipulatorsa (로보트 매니퓨레이터의 동적방정식의 자동 생성에 관한 연구)

  • 원태현;황창선
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.19-22
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    • 1987
  • A program is developed for generations the dynamic equations for robotic manipulators using the symbolic language muSIMP/MATH. The muSIMP/MATH is a LISP-based computer algebra package, devoted to the manipulation of algebraic expressions including number, variables, functions, and matrix. The muSIMP/MATH can operate on IBM-PC compatibles with MS-DOS. The program is developed, on the e formalism. This is program is applicable to the manipulators of any number of degrees of freedom, maximum six degree of freedom in this program. To control robotic manipulators by using dynamic equation is required a symbolic equations. The generated dynamic equation can be applied directly to the robotic manipulators, for the generated dynamic equation is a reduced form of symbolic expression.

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Comparative Studies of Topology Optimization Using Continuous Approximation of Material Distribution (재료분포의 연속적인 근사를 이용한 위상최적설계 방법의 비교 연구)

  • Lim, Young-Seok;Yoo, Jeong-Hoon;Terada, Kenjiro;Nishiwaki, Shin-Ji;Min, Seung-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.2 s.245
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    • pp.164-170
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    • 2006
  • To prevent the numerical instabilities in topology optimization, continuous approximation of material distribution (CAMD) is proposed to the homogenization design method (HDM) and the simple isotropic material with penalization (SIMP) method. The continuous FE approximation of design variables including high order elements is applied to the formulation of SIMP method. Numerical examples are presented to compare the efficiency of CAMD both in HDM and SIMP.