• Title/Summary/Keyword: Topology optimization design

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Topology Optimization of Plane Structures under Free Vibration with Isogeometric Analysis (등기하해석법을 이용한 자유진동 평면구조물의 위상최적화)

  • Lee, Sang-Jin;Bae, Jungeun
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.34 no.6
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    • pp.11-18
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    • 2018
  • Isogeometric concept is introduced to find out the optimum layout of plane structure under free vibration. Eigenvalue problem is formulated and numerically solved in order to obtain natural frequencies and mode shapes of plane structures. For the exact geometric expression of the structure, the Non-Uniform Rational B-spline Surface (NURBS) basis functions is employed and it is also used to define the material density functions. A node-wise design variables is adopted to deal with the updating of material density in topology optimization (TO). The definition of modal strain energy is employed to achieve the maximization of fundamental frequency through its minimization. The verification of the proposed TO technique is performed by a series of benchmark test for plane structures.

Generating Mechanisms of Initial and Candidate Solutions in Simulated Annealing for Packet Communication Network Design Problems (패킷 통신 네트워크 설계를 위한 시뮬레이티드 애닐링 방법에서 초기해와 후보해 생성방법)

  • Yim Dong-Soon;Woo Hoon-Shik
    • Journal of the Korean Operations Research and Management Science Society
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    • v.29 no.3
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    • pp.145-155
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    • 2004
  • The design of a communication network has long been a challenging optimization problem. Since the optimal design of a network topology is a well known as a NP-complete problem, many researches have been conducted to obtain near optimal solutions in polynomial time instead of exact optimal solutions. All of these researches suggested diverse heuristic algorithms that can be applied to network design problems. Among these algorithms, a simulated annealing algorithm has been proved to guarantee a good solution for many NP-complete problems. in applying the simulated annealing algorithms to network design problems, generating mechanisms for initial solutions and candidate solutions play an important role in terms of goodness of a solution and efficiency. This study aims at analyzing these mechanisms through experiments, and then suggesting reliable mechanisms.

A Study on Optimal Spot-weld Layout Design of the Vehicle Body Structure Considering Vibration and Side Impact (진동특성 및 측면충돌 성능을 고려한 차체의 점용접 치수 최적화 연구)

  • Shin, Gyung Ho;Lee, Jun Young;Park, Hong Ik;Yim, Hong Jae
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.10a
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    • pp.750-755
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    • 2012
  • In this study we conduct the optimal spot-weld layout design of vehicle body structure considering dynamic stiffness and side impact. We conduct both linear static analysis and nonlinear analysis with a baseline model to verify the process. 13 design variables will be selected for the effect analysis. Then, topology optimization is conducted to each selected design variable. The design constraints are formulated to improve the dynamic stiffness and side impact performance. Objective function is to set the density of weld component. Optimal spot-weld layout design are compared with the baseline model to show the improvement.

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Optimal Topoloty Design of Structures and Ribs Using Density Distribution (밀도 분포를 이용한 구조물 및 리브의 최적 위상 설계)

  • Chung, Jinpyung;Lee, Kunwoo
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.7
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    • pp.66-77
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    • 1996
  • Optimal topology design is to search the optimal configuration of a structure which can be used as a shape at the conceptual design stage. Our objective is to maximize the stiffness of the structures and ribs under a material usage constraintl. The density of each finite element is the design variable and its relationship with Young's modulus is expressed by quadratic form. The configuration is represented by the entire density distribution, the structural analysis is performed by finite element method and the optimiza- tion is performed by Feasible Direction Method. Feasible Direction Method can handle various problems simultaneously, that is, mult-objectives and multi-constraints. Total computation time can be reduced by the quadratic relationship between the density and the material property and fewer design variables than Homogenization Method. Toplogy optimization technique developed in this research is applied to design the shapes of the ribs.

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Topology Optimization for Radiation and Scattering of Sound from a Thin-body (박판 구조물의 소음 방사 및 산란에 대한 위상 최적 설계)

  • 이제원;왕세명
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.1032-1037
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    • 2003
  • Although the holes on the shell case are very important fer the acoustic performance, it is difficult to solve the problem because the case includes thin bodies. Hence, in the past, only the method of trial and error, which depends on the engineer's intuition and experience, was available fur the design of holes. Many researchers have tried to solve the thin-body acoustic problems, since the conventional boundary element method (BEM ) using the Helmholtz integral equation fails to yield a reliable solution fer the numerical modelling of radiation anti scattering of sound from thin bodies. In the area of the analysis of thin-body acoustic problem, three approaches are generally used; the multi-domain BEM, the indirect variational BEM, and the normal derivative integral equation And there has been just a f9w study reported on the design optimization for the acoustic radiation problems by using only the conventional BEM. For the thin-body acoustics, however, no further study in the optimization fields has been reported. In this research, the normal derivative integral equation is adopted as an analysis formulation in the thin-body acoustics, and then used fur the optimization. The analytical approaches for the design of holes are proposed by using a topology optimization technique and a genetic algorithm. The proposed approaches are implemented and validated using numerical examples.

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A Study on the Improvement of Vibration Analysis of Visual Alignment System Using CAE Method (CAE를 이용한 Visual Alignment System의 진동해석 연구)

  • Lee, Seung-Yoon;Kim, Sung-Rae;Jeong, Jay-I.;Yim, Hong-Jae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.8
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    • pp.838-842
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    • 2009
  • Vibrational analysis is presented for a visual alignment system of nano-imprint process in this study. For a nano-imprinting equipment, the visual alignment system is one of the essential parts in order to align the mold into the target panel. For the precision alignment, the vibration from inside and outside of the vision system should be avoided, and the elimination of the vibration should be considered in the design process of the visual alignment design. In this work, vibrational characteristics for the vision system frame is analyzed and topology optimization of a frame section area is carried out. With the results of the analysis, a new frame design are suggested. Design consideration for constructing a visual alignment system in view of optimal design is also discussed.

Design Sensitivity Analysis and Topology Optimization of Piezoelectric Crystal Resonators (압전 수정진동자의 설계민감도 해석과 위상 최적설계)

  • Ha Youn-Doh;Cho Seon-Ho;Jung Sang-Sub
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.335-342
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    • 2005
  • Using higher order Mindlin plates and piezoelectric materials, eigenvalue problems are considered. Since piezoelectric crystal resonators produce a proper amount of electric signal for a thickness-shear frequency, the objective is to decouple the thickness-shear mode from the others. Design variables are the bulk material densities corresponding to the mass of masking plates for electrodes. The design sensitivity expressions for the thickness-shear frequency and mode shape vector are derived using direct differentiation method(DDM). Using the developed design sensitivity analysis (DSA) method, we formulate a topology optimization problem whose objective function is to maximize the thickness-shear component of strain energy density at the thickness-shear mode. Constraints are the allowable volume and area of masking plate. Numerical examples show that the optimal design yields an improved mode shape and thickness-shear energy.

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Lightweight of Movable Parts for Energy Reduction of 5-axis Machining Center (5축 머시닝센터의 소비 에너지 저감을 위한 운동요소 경량화)

  • Lee, Myung Gyu;Nam, Sung Ho;Lee, Dong Yoon
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.5
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    • pp.474-479
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    • 2013
  • Mass reduction of the machine tool movable parts is a tool for achieving lower energy demands of the machine tool operation. The realization of lightweight design in machine tool can be achieved by structural lightweight design and material lightweight design. In this study, topology optimization strategy was applied to design optimized structures of movable parts of 5 axis machining center. The weight of ram which has most significant influence on the stiffness of whole machine tool was reduced without stiffness deterioration. The redesigned optimized ram has 24.2% less weight while maintaining the same displacement caused by cutting force.

Improvement Design Method for Vibration Reduction of Tractor Fender (트랙터 펜더의 진동저감을 위한 개선설계 방법)

  • Kim, Min Kyu;Kim, Won Jin
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.5
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    • pp.584-593
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    • 2016
  • In this study, an improvement design method for reducing the vibration of fenders equipped in a tractor is proposed through the establishment of a finite element model and the topology optimization. As the original shapes of the parts cannot be altered, an improved design model was derived in which a stiffener was attached to the border of parts. Thus, the first resonance frequency was increased by approximately 16 Hz, which was confirmed to be the frequency interval for avoiding the idle and operating frequency of the engine. Finally the improved design model was applied to confirm the effect of vibration reduction. Therefore, it can be concluded that the improved design model of the tractor fender is effective at reducing vibrations of the tractor fender.

Optimal Shape Design of Magnetic Actuators for Magnetic and Dynamic Characteristic Improvement

  • Yoo, Jeong-Hoon;Jung, Jae-Yeob;Hong, Hyeok-Soo
    • Journal of Magnetics
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    • v.16 no.3
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    • pp.268-270
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    • 2011
  • This study introduces a new topology optimization scheme combing the genetic algorithm (GA) with the on/off sensitivity method for the magnetic actuator core and the armature design. The design process intended to maximize the first eigen-frequency of the armature part and the magnetic actuating force acting on the armature simultaneously. GA based optimal design was carried out to obtain the initial structure and the modified on/off sensitivity method was succeeded to accelerate the design process. Final results show tens of percent improvement in actuating force as well as the first eigen-frequency of the armature.