• Title/Summary/Keyword: numerical formulation

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Sustainable Closed-loop Supply Chain Model using Hybrid Meta-heuristic Approach: Focusing on Domestic Mobile Phone Industry (혼합형 메타휴리스틱 접근법을 이용한 지속가능한 폐쇄루프 공급망 네트워크 모델: 국내 모바일폰 산업을 중심으로)

  • YoungSu Yun
    • Journal of Korea Society of Industrial Information Systems
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    • v.29 no.1
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    • pp.49-62
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    • 2024
  • In this paper, a sustainable closed-loop supply chain (SCLSC) network model is proposed for domestic mobile phone industry. Economic, environmental and social factors are respectively considered for reinforcing the sustainability of the SCLSC network model. These three factors aim at minimizing total cost, minimizing total amount of CO2 emission, and maximizing total social influence resulting from the establishment and operation of facilities at each stage of the SCLSC network model. Since they are used as each objective function in modeling, the SCLSC network model can be a multi-objective optimization problem. A mathematical formulation is used for representing the SCLSC network model and a hybrid meta-heuristic approach is proposed for efficiently solving it. In numerical experiment, the performance of the proposed hybrid meta-heuristic approach is compared with those of conventional meta-heuristic approaches using some scales of the SCLSC network model. Experimental results shows that the proposed hybrid meta-heuristic approach outperforms conventional meta-heuristic approaches.

Bending analysis of porous microbeams based on the modified strain gradient theory including stretching effect

  • Lemya Hanifi Hachemi Amar;Abdelhakim Kaci;Aicha Bessaim;Mohammed Sid Ahmed Houari;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.89 no.3
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    • pp.225-238
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    • 2024
  • In this paper, a quasi-3D hyperbolic shear deformation theory for the bending responses of a functionally graded (FG) porous micro-beam is based on a modified couple stress theory requiring only one material length scale parameter that can capture the size influence. The model proposed accounts for both shear and normal deformation effects through an illustrative variation of all displacements across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the micro-beam. The effective material properties of the functionally graded micro-beam are assumed to vary in the thickness direction and are estimated using the homogenization method of power law distribution, which is modified to approximate the porous material properties with even and uneven distributions of porosity phases. The equilibrium equations are obtained using the virtual work principle and solved using Navier's technique. The validity of the derived formulation is established by comparing it with the ones available in the literature. Numerical examples are presented to investigate the influences of the power law index, material length scale parameter, beam thickness, and shear and normal deformation effects on the mechanical characteristics of the FG micro-beam. The results demonstrate that the inclusion of the size effects increases the microbeams stiffness, which consequently leads to a reduction in deflections. In contrast, the shear and normal deformation effects are just the opposite.

Free vibration analysis of Bi-Directional Functionally Graded Beams using a simple and efficient finite element model

  • Zakaria Belabed;Abdeldjebbar Tounsi;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohamed Bourada;Mohammed A. Al-Osta
    • Structural Engineering and Mechanics
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    • v.90 no.3
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    • pp.233-252
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    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Structural RC computer aided intelligent analysis and computational performance via experimental investigations

  • Y.C. Huang;M.D. TuMuli Lulios;Chu-Ho Chang;M. Nasir Noor;Jen-Chung Shao;Chien-Liang Chiu;Tsair-Fwu Lee;Renata Wang
    • Structural Engineering and Mechanics
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    • v.90 no.3
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    • pp.253-261
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    • 2024
  • This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Effect of static and dynamic impedance functions on the parametric analysis of SSI system

  • Maroua Lagaguine;Badreddine Sbarta
    • Coupled systems mechanics
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    • v.13 no.4
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    • pp.293-310
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    • 2024
  • This paper investigates the dynamic response of structures during earthquakes and provides a clear understanding of soil-structure interaction phenomena. It analyses various parameters, comprising ground shear wave velocity and structure properties. The effect of soil impedance function form on the structural response of the system through the use of springs and dashpots with two frequency cases: independent and dependent frequencies. The superstructure and the ground were modeled linearly. Using the substructure method, two different approaches are used in this study. The first is an analytical formulation based on the dynamic equilibrium of the soil-structure system modeled by an analog model with three degrees of freedom. The second is a numerical analysis generated with 2D finite element modeling using ABAQUS software. The superstructure is represented as a SDOF system in all the SSI models assessed. This analysis establishes the key parameters affecting the soil-structure interaction and their effects. The different results obtained from the analysis are compared for each studied case (frequency-independent and frequency-dependent impedance functions). The achieved results confirm the sensitivity of buildings to soil-structure interaction and highlight the various factors and effects, such as soil and structure properties, specifically the shear wave velocity, the height and mass of the structure. Excitation frequency, and the foundation anchoring height, also has a significant impact on the fundamental parameters and the response of the coupled system at the same time. On the other hand, it have been demonstrated that the impedance function forms play a critical role in the accurate evaluation of structural behavior during seismic excitation. As a result, the evaluation of SSI effects on structural response must take into account the dynamic properties of the structure and soil accordingly.

Minimum cost design for circular isolated footings with eccentric column taking into account that the surface in contact with the ground works partially in compression

  • Inocencio Luevanos-Soto;Arnulfo Luevanos-Rojas;Victor Manuel Moreno-Landeros;Griselda Santiago-Hurtado
    • Coupled systems mechanics
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    • v.13 no.4
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    • pp.311-335
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    • 2024
  • This work aims to show a model to estimate the minimum cost (Thickness and area of steel in X and Y directions) for design a circular isolated footing with eccentric column that considers that the surface in contact with the ground works partially under compression. The formulation is shown by integration to find the moments, the bending shears and the punching shear using the pressure volume under the footing. Some researchers show the minimum cost design for circular isolated footings for an eccentric column assuming that the contact area works completely in compression, others consider the contact surface with the ground working partially in compression for a column in the center of the base. Three numerical examples are developed to obtain the complete design, which are: Example 1 for a column in the center of the base,Example 2 for a column at a distance of 1.50 m from the center of the base in the X direction, Example 3 for a column at a distance of 1.50 m from the center of the base in both directions. Also, a comparison of the new model against the model proposed by other authors is presented. The comparison shows that the new model generates a great saving of up to 43.74% for minimum area and 48.44% for minimum cost design in a column located in the center of the base, and when the column is located at a distance of radius/2 starting from the center of the base in the X direction generates great savings of up to 45.24% for minimum area and 31.80% for minimum cost design. Therefore, it is advisable to use the model presented in this study.

Optimization of Ingredient Mixing Ratio for Preparation of Sulgidduk with Saltwort (Salicornia herbacea L.) (함초 첨가 설기떡의 재료 혼합비율의 최적화)

  • Jang, Myung-Sook;Park, Jung-Eun
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.35 no.5
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    • pp.641-648
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    • 2006
  • In an attempt to get basic data for the utilization of saltwort powder (Salicornia herbaceae L.) as a ingredient in the Sulgidduk. D-optimal design of mixture design showed 14 experimental points including 4 replicates for three independent variables. The three independent variables selected for the experiment were water ($13{\sim}18%$), saltwort powder ($2{\sim}6%$), and sugar ($8{\sim}13%$). The optimum responses variables such as color value. texture, and sensory characteristics were evaluated. The compositional and functional properties of test were measured, and these values were applied to the mathematical models. According to the result of measuring probability of the color value, texture and sensory characteristics were respectively and significance was acknowledged (p<0.05). According to the result of F-test, color values (L, a, b), textural properties (gumminess, chewiness) and sensory characteristics (taste, softness) decided linear model, textural property (hardness) and sensory characteristics (color, smell, moistness, overall acceptance) decided quadratic model. A canonical form and trace plot showed that the influence of each ingredient on the mixture final product. An optimum formulation by numerical and graphical methods were similar. Water, saltwort powder, and sugar were 15.2%, 3.0%, and 9.8% respectively by numerical method, and 15.2%, 3.1%, and 9.7% respectively by graphical method.

Processing Optimization and Antioxidant Activity of Chocolate Added with Mulberry (오디 초콜릿의 제조 최적화 및 항산화 활성)

  • Park, So-Yeon;Joo, Na-Mi
    • Korean Journal of Food Science and Technology
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    • v.43 no.3
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    • pp.303-314
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    • 2011
  • The purpose of this study was to determine the optimal mixing conditions for two different amounts of added mulberry powder and fresh cream to prepare functional chocolate with added mulberry powder. The experiment was designed according to the central composite response surface design, which showed 10 experimental points, and included two replicates for mulberry powder and fresh cream. The physiochemical, mechanical, and sensory properties of the test were measured, and these values were applied to the mathematical models. The results of the physiochemical and mechanical analyses of each sample, including pH, moisture content, total phenolic content, DPPH free radical scavenging activity, color L, color b, hardness, gumminess, and cohesiveness showed significant differences. The sensory characteristics of the samples tested were significantly different in flavor, texture, sourness, bitterness, and overall acceptability. The optimum formulation calculated by numerical and graphical methods was 25.76 g mulberry powder and 72.21 g fresh cream.

Kernel Integration Scheme for 2D Linear Elastic Direct Boundary Element Method Using the Subparametric Element (저매개변수 요소를 사용한 2차원 선형탄성 직접 경계요소법의 Kernel 적분법)

  • Jo, Jun-Hyung;Park, Yeongmog;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.5
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    • pp.413-420
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    • 2012
  • In this study, the Kernel integration scheme for 2D linear elastic direct boundary element method has been discussed on the basis of subparametric element. Usually, the isoparametric based boundary element uses same polynomial order in the both basis function and mapping function. On the other hand, the order of mapping function is lower than the order of basis function to define displacement field when the subparametric concept is used. While the logarithmic numerical integration is generally used to calculate Kernel integration as well as Cauchy principal value approach, new formulation has been derived to improve the accuracy of numerical solution by algebraic modification. The subparametric based direct boundary element has been applied to 2D elliptical partial differential equation, especially for plane stress/strain problems, to demonstrate whether the proposed algebraic expression for integration of singular Kernel function is robust and accurate. The problems including cantilever beam and square plate with a cutout have been tested since those are typical examples of simple connected and multi connected region cases. It is noted that the number of DOFs has been drastically reduced to keep same degree of accuracy in comparison with the conventional isoparametric based BEM. It is expected that the subparametric based BEM associated with singular Kernel function integration scheme may be extended to not only subparametric high order boundary element but also subparametric high order dual boundary element.

The Study For Clinical Measurement of Pain (통증(痛症)의 임상적평가법(臨床的評價法)에 관한 고찰(考察))

  • Shin, Seung-Uoo;Chung, Seok-Hee;Lee, Jong-Soo;Shin, Hyun-Dae;Kim, Sung-Soo
    • The Journal of Dong Guk Oriental Medicine
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    • v.8 no.2
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    • pp.25-46
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    • 2000
  • Pain can be evaluated by experimental methods and clinical methods, but due to subjective characteristics of pain, clinical methods are generally used. The clinical pain measurement tools are divided into unidimensional and multidimensional assessment tools. The former include Visual Analogue Scale, Verbal Rating Scale, Numerical Rating Scale, Pain Faces Scale, and Poker Chip Tool and the latter include McGill Pain Questionnaire, MMPI, Pain Behavior Scale, Pain disability index, and Pain Rating Scale. Unidimensional pain scales mainly measure the intensity of pain on the basis of the patient's self report and their simple construction and ease of use enable the invesgator to assess acute pain. Multidimensional pain scales are used to evaluate subjective, psychological and behavioral aspects of pain and because of its comprehensive and confidential properties they are applied to chronic pain. Patient's linguistic and cognitive abilities are major factors to restrain accurate assessment of pain. Although behavioral patterns and vital sign are inferior to self-report in the measurement of pain, they can be useful indexes in those situations. When deciding on a pain-assessment tool, the investigator must determine which aspect of pain he or she wishes to evaluate on the characteristics of the group of patients, their backgrounds, and their communication skills. Making the proper choice will facilitate the acquisition of meaningful data and the formulation of valid conclusions.

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