• Title/Summary/Keyword: analytical functions

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Warping and porosity effects on the mechanical response of FG-Beams on non-homogeneous foundations via a Quasi-3D HSDT

  • Mokhtar Nebab;Hassen Ait Atmane;Riadh Bennai;Mouloud Dahmane
    • Structural Engineering and Mechanics
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    • v.90 no.1
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    • pp.83-96
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    • 2024
  • This paper suggests an analytical approach to investigate the free vibration and stability of functionally graded (FG) beams with both perfect and imperfect characteristics using a quasi-3D higher-order shear deformation theory (HSDT) with stretching effect. The study specifically focuses on FG beams resting on variable elastic foundations. In contrast to other shear deformation theories, this particular theory employs only four unknown functions instead of five. Moreover, this theory satisfies the boundary conditions of zero tension on the beam surfaces and facilitates hyperbolic distributions of transverse shear stresses without the necessity of shear correction factors. The elastic medium in consideration assumes the presence of two parameters, specifically Winkler-Pasternak foundations. The Winkler parameter exhibits variable variations in the longitudinal direction, including linear, parabolic, sinusoidal, cosine, exponential, and uniform, while the Pasternak parameter remains constant. The effective material characteristics of the functionally graded (FG) beam are assumed to follow a straightforward power-law distribution along the thickness direction. Additionally, the investigation of porosity includes the consideration of four different types of porosity distribution patterns, allowing for a comprehensive examination of its influence on the behavior of the beam. Using the virtual work principle, equations of motion are derived and solved analytically using Navier's method for simply supported FG beams. The accuracy is verified through comparisons with literature results. Parametric studies explore the impact of different parameters on free vibration and buckling behavior, demonstrating the theory's correctness and simplicity.

Dimensional synthesis of an Inspection Robot for SG tube-sheet

  • Kuan Zhang;Jizhuang Fan;Tian Xu;Yubin Liu;Zhenming Xing;Biying Xu;Jie Zhao
    • Nuclear Engineering and Technology
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    • v.56 no.7
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    • pp.2718-2731
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    • 2024
  • To ensure the operational safety of nuclear power plants, we present a Quadruped Inspection Robot that can be used for many types of steam generators. Since the Inspection Robot relies on the Holding Modules to grip the tube-sheet, it can be regarded as a hybrid robot with variable configurations, switching between 4-RRR-RR, 3-RRR-RR, and two types of 2-RRR-RR, and the variable configurations bring a great challenge to dimensional synthesis. In this paper, the kinematic model of the Inspection Robot in multiple configurations is established, and the analytical solution is given. The workspace mapping is analyzed by the solution-space, and the workspace of multiple configurations is decomposed into the workspace of 2-RRR to reduce the analysis complexity, and the workspace calculation is simplified by using the envelope rings. The optimization problem of the manipulator is transformed into the calculation of the shortest contraction length of the swing leg. The switching performance of the Inspection Robot is evaluated by stride-length, turning-angle, and workspace overlap-ratio. The performance indexes are classified and transformed based on the proportions and variation trends of dimensional parameters to reduce the number of optimization objective functions, and Pareto optimal solutions are obtained using an intelligent optimization algorithm.

A Hydraulic Conductivity Model Considering the Infiltration Characteristics Near Saturation in Unsaturated Slopes (불포화 사면의 포화 부근 침투 특성을 고려한 수리전도도 모델)

  • Oh, Se-Boong;Park, Ki-Hun;Kim, Jun-Woo
    • Journal of the Korean Geotechnical Society
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    • v.30 no.1
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    • pp.37-47
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    • 2014
  • Unsaturated hydraulic conductivity (HC) is integrated theoretically from soil water retention curves (SWRC) by Mualem capillary model, but the prediction of HC is extremely sensitive to small variation of matric suction near saturation. Near saturation, the Mualem HC based on smooth SWRC decreases abruptly and has problems in the reliability of hydraulic behavior and the stability of numerical solutions. To improve van Genuchten-Mualem (VGM) HC, the van Genuchten SWRC model is modified within range of low matric suction (arbitrary air entry pressure). At an arbitrary air entry pressure, the VG SWRC is linearized in log scale until full saturation. The modified VG SWRC does not affect the fit of actual retention behavior and either the parameters of original VG SWRC fit. Using the modified VG SWRC, the VGM HC is modified to integrate for each interval decomposed by arbitrary air entry pressure. An analytical solution on modified VGM HC is proposed each interval, to protect the rapid change in HC near saturation. For silty soils, VGM models of HC function underestimate the unsaturated permeability characteristics and especially show rapid reduction near saturation. The modified VGM model predicts more accurate HC functions for Korean weathered soils. Furthermore, near saturation, the saturated HC is conserved by the modified VGM model. After 2-D infiltration analysis of an actual slope, the hydraulic behaviors are compared for VGM and the modified models. The prediction by the proposed model conserved the convergence of solutions on various rainfall conditions. However, the solution by VGM model did not converge since the conductivity near saturation reduced abruptly for heavy rainfall condition. Using VGM model, the factor of safety is overestimated in both initial and final stage during heavy rainfall. Stability analysis based on infiltration analysis could simulate the actual slope failure by the proposed model on HC.

The Effects of Swimming Training on Lymphocyte Proliferation and ROS Production in Spleen Lymphocytes of BALB/c Mice (규칙적인 수영훈련이 마우스 비장세포의 ROS생성과 림프구 증식에 미치는 영향)

  • Kwak, Yi-Sub;Park, Jeon-Han;Kim, Se-Jong;Jang, Yun-Soo;Lee, Bong-Ki
    • IMMUNE NETWORK
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    • v.2 no.2
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    • pp.96-101
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    • 2002
  • Background: Aerobic training can be defined as any physical exercise that increases the heart rate and enhances the body's intake of oxygen long enough to benefit the condition of body. Running, cycling, and swimming are examples of aerobic activities. This type of exercise optimises immune functions. Recently several experimental findings suggested that the regular swimming training increase immune response, but there have been very few reports which compare warm water exercise with cold water exercise in spleen lymphocytes. Methods: This study was designed to examine the effects of regular swimming training on Index, the number of lymphocytes, proliferative activity and production of reactive oxygen species (ROS) by splenocytes in BALB/c mice. Thirty six mice (6 week old) were performed 10 weeks of regular swimming training and they were divided into 6 groups according to the regular swimming training (CRG: control resting group, CEG: control exercise group, WRG: warm water trained resting group, WEG: warm water trained exercise group, CORG: cold water trained resting group, COEG: cold water exercise group). Analytical items were weight change, spleen index, the number of lymphocytes, proliferative activity and production of ROS. All data were expressed as mean and standard deviation by using SPSS package program (ver. 10.0). Results: The swimming training significantly decreased body weight, and increased spleen index, the number of lymphocytes and proliferative activity in the presence or absence of Con A and LPS added conditions. For the WRG and CORG, the quantity of ROS from splenocytes was higher than CRG, whereas, ROS by spleen lymphocytes was lower following 90 min acute exercise stress. Conclusion: These results suggested that the swimming training not only increases the number of lymphocytes but also increases proliferative activity by splenocytes in vitro.

New TLE generation method based on the past TLEs (과거 TLE정보를 활용한 새로운 TLE정보 생성기법)

  • Cho, Dong-Hyun;Han, Sang-Hyuck;Kim, Hae-Dong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.10
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    • pp.881-891
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    • 2017
  • In this paper, we described the new TLE(Two Line Elements) generation method based on the compansation technique by using past TLEs(Two Line Elements) released by JSpOC(Joint Space Operation Center) in USA to reduce the orbit prediction error for long duration of SGP4(Simplified General Perturbations 4) which is a simplifed and analytical orbit propagator. The orbital residuals the orbital difference between two ephemeris for the first TLE only and for the all TLEs updated by JSpOC for the past some period was applied for this algorithm instead of general orbit determination software. Actually, in these orbital residuals, the trend of orbit prediction error from SGP4 is included. Thus, it is possible to make a simple residual function from these orbital residulas by using the fitting process. By using these residual functions with SGP4 prediction data for the currnet TLE data, the compansated orbit prediction can be reconstructed and the orbit prediction error for long duration of SGP4 is also reduced. And it is possible to generate new TLE data from it. In this paper, we demonstraed this algorithm in simple simulation, and the orbital error is decreased dramatically from 4km for the SGP4 propagation to 2km for it during 7 days as a result.

Micromechanical Analysis on Anisotropic Elastic Deformation of Granular Soils (미시역학을 이용한 사질토의 이방적 탄성 변형 특성의 해석)

  • 정충기;정영훈
    • Journal of the Korean Geotechnical Society
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    • v.20 no.5
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    • pp.99-107
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    • 2004
  • Anisotropic characteristics of deformation are important to understand the particular behavior in the pre-failure state of soils. Recent experiments show that cross-anisotropic moduli of granular soils can be expressed by functions of normal stresses in the corresponding directions, which is closely linked to micromechanical characteristics of particles. Granular soils are composed of a number of particles so that the force-displacement relationship at each contact point governs the macroscopic stress-strain relationship. Therefore, the micromechanical approach in which the deformation of granular soils is regarded as a mutual interaction between particle contacts is one of the best ways to investigate the anisotropic elastic deformation of soils. In this study, a numerical program based on the theory of micromechanics is developed. Generalized contact model for the irregular contact surface of soil particles is adopted to represent the force-displacement relationship in each contact point far the realistic prediction of anisotropic moduli. To evaluate the model parameters, a set of analytical solutions of anisotropic elastic moduli is derived in the isotropic stress condition. A detailed procedure to determine the model parameters is proposed with emphasis on the practical applicability of micromechanical program to analyze the elastic behavior of the granular soils.

Development of Stochastic Decision Model for Estimation of Optimal In-depth Inspection Period of Harbor Structures (항만 구조물의 최적 정밀점검 시기 추정을 위한 추계학적 결정모형의 개발)

  • Lee, Cheol-Eung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.28 no.2
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    • pp.63-72
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    • 2016
  • An expected-discounted cost model based on RRP(Renewal Reward Process), referred to as a stochastic decision model, has been developed to estimate the optimal period of in-depth inspection which is one of critical issues in the life-cycle maintenance management of harbor structures such as rubble-mound breakwaters. A mathematical model, which is a function of the probability distribution of the service-life, has been formulated by simultaneously adopting PIM(Periodic Inspection and Maintenance) and CBIM(Condition-Based Inspection and Maintenance) policies so as to resolve limitations of other models, also all the costs in the model associated with monitoring and repair have been discounted with time. From both an analytical solution derived in this paper under the condition in which a failure rate function is a constant and the sensitivity analyses for the variety of different distribution functions and conditions, it has been confirmed that the present solution is more versatile than the existing solution suggested in a very simplified setting. Additionally, even in that case which the probability distribution of the service-life is estimated through the stochastic process, the present model is of course also well suited to interpret the nonlinearity of deterioration process. In particular, a MCS(Monte-Carlo Simulation)-based sample path method has been used to evaluate the parameters of a damage intensity function in stochastic process. Finally, the present stochastic decision model can satisfactorily be applied to armor units of rubble mound breakwaters. The optimal periods of in-depth inspection of rubble-mound breakwaters can be determined by minimizing the expected total cost rate with respect to the behavioral feature of damage process, the level of serviceability limit, and the consequence of that structure.

Study of a Mixed Finite Element Model for the Analysis of a Geometrically Nonlinear Plate (기하학적 비선형 판재 해석을 위한 혼합형 FE Model 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.10
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    • pp.1427-1435
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    • 2010
  • A mixed finite element model was developed using the classical plate theory to analyze the nonlinear bending of a plate. The appropriate weight functions for the constraints integrated over the domain were determined by the Lagrange multiplier method by using the principle of minimum virtual energy; which provides the constitutive relations between force-like variables and strains. All of detail terms of element wise coefficient matrices and associate tangent matrices to be used in the Newton iterative method are presented. Then, the linear solutions of the current model and those of the traditional displacement model under the SS (simple support) boundary conditions were compared with the existing analytical solution. The post-processed images of the nonlinear results of the force-like variables are presented to show the continuity of the solutions at the joint of the element boundaries. Finally, the converged nonlinear finite element solutions of the current model are compared with those of existing traditional displacement model.

A Comparative Study on the Reliability Growth Enhancement Activities Using "ANALYSIS" and "TEST" through FMECA and Highly Accelerated Life Tests (신뢰성 성장 강화를 위한 Analysis 방법(FMECA)과 Test(초가속수명시험-HALT) 비교 연구)

  • Shin, Sang-Hee;Jung, Joo-Hyun;Kang, Tae-Ho;Lee, Jong-Sin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.7
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    • pp.406-418
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    • 2020
  • When developing weapons systems, it is important to implement the functions and performance of equipment suitable for development purposes, but it is very important to ensure that the equipment is capable of operating without any vacuum with reliability after development. Therefore, various activities are carried out to enhance reliability of equipment. Reliability is enhanced by using high-specification parts in development, reliability verification through analysis, and testing using development prototypes to reinforce and improve the parts that are lacking in equipment. However, recently, development schedules are shortened due to rapidly changing external conditions and technologies, and there are cases where sufficient reliability growth activities were not carried out due to problems such as cost. Examples are projects that perform reliability activities only in analytical methods (reliability, FMECA). In this paper, analyzing and testing methods for analysis and testing were carried out on the same equipment through FMECA and super-accelerated life test, the contents of reliability growth activity were derived, the results of design change/review were accordingly compared, the differences between the two methods were analyzed, and measures were proposed to strengthen reliable growth activities. It was concluded that reliable growth activities through analysis from the beginning of development and reliable growth activities through testing should be carried out at the completion of initial prototype production.

Development of Web-Based Supporting Tool (VESTAP) for Climate Change Vulnerability Assesment in Lower and Municipal-Level Local Governments (기초 및 광역지자체 기후변화 취약성 평가를 위한 웹기반 지원 도구(VESTAP) 개발)

  • OH, Kwan-Young;LEE, Moung-Jin;HAN, Do-Eun
    • Journal of the Korean Association of Geographic Information Studies
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    • v.19 no.1
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    • pp.1-11
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    • 2016
  • Climate change is the issue that attracts the most attention in the field of environment, as well as the most challenging task faced by the human race. There are various ways to resolve this issue. South Korea has established the primary and secondary national climate change adaptation plans at the national level, and is making it compulsory for each local government (lower and municipal-level) to establish climate change adaptation plans. Climate change vulnerability assessment plays an essential role in establishing climate change adaptation action plans. However, vulnerability assessment has a difficulty performing individual assessments since the results are produced through complex calculations of multiple impact factors. Accordingly, this study developed a web-based supporting tool(VESTAP) for climate change vulnerability assesment that can be used by lower and municipal-level local governments. The VESTAP consists of impact DB and vulnerability assessment and display tool. The index DB includes total 455 impacts of future climate data simulated with RCP (Representative Concentration Pathways) 4.5 and 8.5, atmospheric environment data, other humanities and social statistics, and metadata. The display tool has maximized convenience by providing various analytical functions such as spatial distribution, bias and schematization of each vulnerability assessment result. A pilot test of health vulnerability assessment by particulate matters in Sejong Metropolitan Autonomous City was performed using the VESTAP, and Bukang-myeon showed the highest vulnerability. By using the developed tool, each local government is expected to be able to establish climate change adaptation action plans more easily and conveniently based on scientific evidence.