• Title/Summary/Keyword: Geometric Optimization

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A Study on Geometric Optimization of a 500 ml Lightweight Square PET Bottle with CAE Analysis (CAE 해석을 통한 500 ml 경량 사각 PET병의 형상 최적화)

  • Eui-Chul Jeong;Sung-Hee Lee;Hyunn-Seung Lee;Jung-Gil Oh;Seok-Kwan Hong
    • Design & Manufacturing
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    • v.18 no.2
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    • pp.17-22
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    • 2024
  • Lightweight of plastic containers is becoming an important issue due to increasing environmental legislation and consumer awareness. In this study, the CAE analysis was conducted to optimize the shape of a 500 ml lightweight square polyethylene terephthalate(PET) bottle. First, the linear buckling alaysis using the finite element method was performed to analyze the correlation between the primary geometric parameters of the bottle and the buckling critical load. Then, the optimal geometry parameters were derived, and the actual buckling load was predicted by non-linear buckling simulation. The validity of the simulation results was verified by top-loading tests of PET bottles molded with the optimized geometry. The elastic modulus and tensile yield strength of PET through tensile tests were measured to improve the accuracy of the simulation. As a result of the tensile tests, the modulus of elasticity of PET increased from 2,900 MPa to 4,275 MPa, and the tensile yield strength increased from 52.4 MPa to 88.1 MPa. Finally the buckling load of the optimized PET bottle was found to be approximately 236 N, which is very similar to the simulation precition of 238 N. This study shows the feasibility and accuracy of the CAE analysis approach for the lightweight design of PET bottles, and will provide useful guidelines for the design of PET bottles.

Multi-Object Optimization of the Switched Reluctance Motor

  • Choi, Jae-Hak;Kim, Sol;Kim, Yong-Su;Lee, Sang-Don;Lee, Ju
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.4B no.4
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    • pp.184-189
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    • 2004
  • In this paper, multi-object optimization based on a progressive quadratic response surface method (PQRSM) and a time stepping finite element method (FEM) is proposed. The new PQRSM and FEM are able to decide optimal geometric and electric variables of the switched reluctance motor (SRM) with two objective functions: torque ripple minimization and average torque maximization. The result of the optimum design for SRM demonstrates improved performance of the motor and enhanced relationship between torque ripple and average torque.

The Optimal Design of Switched Reluctance Motor Using Progressive Quadratic Response Surface Method (점진적 2차 반응 표면 모델링 방법(PQRSM)을 이용한 SRM의 최적 설계)

  • Choi, Jae-Hak;Jung, Sung-In;Park, Jae-Bum;Lee, Ju;Hong, Kyung-Jin;Choi, Dong-Hoon
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.595-597
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    • 2002
  • This paper presents an optimum design, which is able to determine optimal geometric and electric parameters of Switched Reluctance Motor so as to fit respective operating conditions specified in various industrial fields. Those works describe an approach to maximize the average torque while keeping the torque ripple within 10${\sim}$100(%) of respective limited values. This optimum design is obtained by uniting an optimization algorithm of PQRSM to a time stepping finite element method.

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Evaluation of Optimization Models for a Dimpled Channel to Enhance Heat Transfer (딤플 유로의 열전달 증진을 위한 최적화모델 비교)

  • Shin, Dong-Yoon;Kim, Kwang-Yong;Samad, Abdus
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2552-2557
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    • 2007
  • Shape optimization of an internal cooling passage with staggered dimples on single surface is performed and performances of surrogates are evaluated in this paper. Optimizations are performed so that turbulent heat transfer can be enhanced compromising with pressure loss due to friction. The three-dimensional governing differential equations have been solved to find the overall Nusselt number and friction factor which are related to the objective functions of this problem. Three design variables were selected among the dimensionless geometric variables. Basic surrogate models such as second order polynomial response surface approximation (RSA), Kriging meta-modeling technique, radial basis neural network (RBNN), and derived press based averaged (PBA) surrogate model are constructed. The optimal points are searched from the above constructed surrogates by sequential quadratic programming (SQP). It is shown that use of multiple surrogates can increase the robustness in prediction of better design with minimum computational cost.

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Shape Optimization of Laminated Composite Shell for Various Layup Configurations (적층배열에 따른 복합재료 쉘의 형상최적화)

  • 김현철;노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.317-324
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    • 2004
  • Shape design optimization of shell structure is implemented on a basis of integrated framework of geometric modeling and finite element analysis which is constructed on the geometrically exact shell theory. This shell theory enables more accurate and robust analysis for complicated shell structures, and it fits for the nature of B-spline function which Is popular modeling scheme in CAD field. Shape of laminated composite shells is optimized through genetic algorithm and sequential linear programming, because there ire numerous optima for various configurations, constraints, and searching paths. Sequential adaptation of global and local optimization makes the process more efficient. Two different optimized results of laminated composite shell structures to minimize strain energy are shown for different layup sequence.

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Optimal Thickness Design of Ellipsoidal and Tori-Spherical Pressure Vessel Domes (타원형 및 토리-구형 압력용기도옴의 두께 최적화설계)

  • 이영신;김영완;조원만
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.3
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    • pp.707-715
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    • 1994
  • This study presents thickness optimization for the pressure vessel domes subject to internal pressure and axial force simultaneously. The considered typical pressure vessel domes are ellipsoidal and tori-spherical domes with skirt and nozzle part. These pressure vessel domes under loading have higher stress concentration on geometric discontinuity parts. Therefore, thickness optimization of axi-symmetric pressure vessel domes is essentially concerned on minimizing this stress concentration. The objective function is minimization of weight of pressure vessel dome. The design variable is thickness of dome and cylinder. Considered constraint is Von Mises equivalent stress. In the optimization procedure, ANSYS code is used. The equivalent and hoop stress of original shape domes are compared with those of optimal shape domes. And optimal thicknesses for pressure vessel domes are presented.

Propeller Skew Optimization Considering Varying Wake Field (선체반류를 고려한 프로펠러 최적 스큐화)

  • 문일성;김건도;유용완;류민철;이창섭
    • Journal of the Society of Naval Architects of Korea
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    • v.40 no.5
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    • pp.26-35
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    • 2003
  • Propellers operating in a given nonuniform ship wake generate unsteady loads leading to undesirable stern vibration problems. The skew is known to be the most proper and effective geometric parameter to control or reduce the fluctuating forces on the shaft. This paper assumes the skew profile as either a quadratic or a cubic function of the radius and determines the coefficients of the polynomial function by applying the simplex method. The method uses the converted unconstrained algorithm to solve the constrained minimization problem of 6-component shaft excitation forces. The propeller excitation was computed either by applying the two-dimensional gust theory for quick estimation or by the fully three-dimensional unsteady lifting surface theory in time domain for an accurate solution. A sample result demonstrates that the shaft forces can be further reduced through optimization from the original design.

Compliant Mechanism Design with Geometrical Advantage (입 . 출력변위비를 고려한 컴플라이언트 메커니즘 설계)

  • Kim, Young-Gi;Min, Seung-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.5
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    • pp.764-771
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    • 2003
  • To control the motion generated by a compliant mechanism the design method using specified geometrical advantage is proposed. The optimization problem is formulated to minimize the difference between the specified and the current geometrical advantage of a mechanism and topology optimization is applied to determine the layout of a mechanism. The results of several test problems including a displacement converter design and a gripper design are compared with a multi-criteria model and show that the design of an accurate compliant mechanism with specified geometrical advantage can be obtained.

Modal Characteristic Optimization of Rotating Cantilever Beams via Shape Variation of Cross-section by Multi-stage Spline Function (다단 Spline 곡선에 의한 단면형상 변화를 통한 회전 외팔보의 진동특성 최적화)

  • 조정은;유홍희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.1
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    • pp.73-79
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    • 2004
  • When structures undergo rotating motion, their modal characteristics often vary significantly. The variations of modal characteristics are determined from their geometric shapes and their rotating angular speed. Since the modal characteristics vary during the operation of the structures, they should be carefully scrutinized. In this paper, rotating cantilever beams are chosen as design targets which need to meet some specific design requirements. The thickness and the width of the rotating beams are assumed as multi-stage spline functions and the stage values for the thickness and the width are used as design variables for the optimization problems.

Optimization of the Channel of a Plate Heat Exchanger wits Ribs (리브가 있는 판형 열교환기 관내부 최적화)

  • 이관수;양동근
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.3
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    • pp.199-205
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    • 2002
  • In this paper, the optimum shape and arrangement of ribs in the channel of a plate heat exchanger are studied. The following dimensionless geometric parameters of ribs are selected as design variables: rib height ($H_R$), angle of attack ($\beta$), rib pitch ($P_R$), rib distance (L) and aspect ratio of rib (AR). The optimization is performed by minimizing the objective function consisting of the Nusselt number and the friction factor. The optimal values of design variables are as follows: $H_R$=0.263, $\beta$=0.290, $P_R$=3.142, L: 3.954, AR=0.342. The pressure drop and the heat transfer of the optimum model, compared to those of the reference model, are increased by 15.1% and 41.6%, respectively.