• Title/Summary/Keyword: Mathematical Models

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A Locational Analysis by Using GIS and Allocation Model for Residential Area of Local Cities (GIS와 입지모형을 이용한 지방중소도시의 주거지 적지분석)

  • Ahn, Ki-Won;Yoo, Hwan-Hee;Kim, Young
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.14 no.1
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    • pp.69-80
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    • 1996
  • This Study aims at identifying optimum residential area of small and medium local cities to be relocated in the future. In the object of study, Chinju City was chosen and it consists of three stages of application to choose the priority of residential development us well as available residential locations. In the first stage, a digital image processing technique was applied to generate the existing urban land use information from the satellite image data. In the second stage, GIS technique was used to choose the avaliable residential area by evaluating the elements for residential site allocation such as road accessibility, topographic height, slope, aspect, legal limit, population density, and land price. In the third stage, some mathematical location models were applied to identify optimum candidates of residential areas chosen by earier stages. The results were evaluated by statistical methods and integer programming to identify the development priority. We expect this procedures and the results will be able to be used as a guide-line to support housing policies of Chinju City by allocating residential sites as well as a technique to apply a locational analysis for the future residential areas of small and medium local cities.

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Bending of a rectangular plate resting on a fractionalized Zener foundation

  • Zhang, Cheng-Cheng;Zhu, Hong-Hu;Shi, Bin;Mei, Guo-Xiong
    • Structural Engineering and Mechanics
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    • v.52 no.6
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    • pp.1069-1084
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    • 2014
  • The long-term performance of plates resting on viscoelastic foundations is a major concern in the analysis of soil-structure interaction. As a powerful mathematical tool, fractional calculus may address these plate-on-foundation problems. In this paper, a fractionalized Zener model is proposed to study the time-dependent behavior of a uniformly loaded rectangular thin foundation plate. By use of the viscoelastic-elastic correspondence principle and the Laplace transforms, the analytical solutions were obtained in terms of the Mittag-Leffler function. Through the analysis of a numerical example, the calculated plate deflection, bending moment and foundation reaction were compared to those from ideal elastic and standard viscoelastic models. It is found that the upper and lower bound solutions of the plate response estimated by the proposed model can be determined using the elastic model. Based on a parametric study, the impacts of model parameters on the long-term performance of a foundation plate were systematically investigated. The results show that the two spring stiffnesses govern the upper and lower bound solutions of the plate response. By varying the values of the fractional differential order and the coefficient of viscosity, the time-dependent behavior of a foundation plate can be accurately captured. The fractional differential order seems to be dependent on the mechanical properties of the ground soil. A sandy foundation will have a small fractional differential order while in order to simulate the creeping of clay foundation, a larger fractional differential order value is needed. The fractionalized Zener model is capable of accounting for the primary and secondary consolidation processes of the foundation soil and can be used to predict the plate performance over many decades of time.

Position estimation and control of SMA actuators based on electrical resistance measurement

  • Song, Gangbing;Ma, Ning;Lee, Ho-Jun
    • Smart Structures and Systems
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    • v.3 no.2
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    • pp.189-200
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    • 2007
  • As a functional material, shape memory alloy (SMA) has attracted much attention and research effort to explore its unique properties and its applications in the past few decades. Some of its properties, in particular the electrical resistance (ER) based self-sensing property of SMA, have not been fully studied. Electrical resistance of an SMA wire varies during its phase transformation. This variation is an inherent property of the SMA wire, although it is highly nonlinear with hysteresis. The relationship between the displacement and the electrical resistance of an SMA wire is deterministic and repeatable to some degree, therefore enabling the self-sensing ability of the SMA. The potential of this self-sensing ability has not received sufficient exploration so far, and even the previous studies in literature lack generality. This paper concerns the utilization of the self-sensing property of a spring-biased Nickel-Titanium (Nitinol) SMA actuator for two applications: ER feedback position control of an SMA actuator without a position sensor, and estimation of the opening of a SMA actuated valve. The use of the self-sensing property eliminates the need for a position sensor, therefore reducing the cost and size of an SMA actuator assembly. Two experimental apparatuses are fabricated to facilitate the two proposed applications, respectively. Based on open-loop testing results, the curve fitting technique is used to represent the nonlinear relationships between the displacement and the electrical resistance of the two SMA wire actuators. Using the mathematical models of the two SMA actuators, respectively, a proportional plus derivative controller is designed for control of the SMA wire actuator using only electrical resistance feedback. Consequently, the opening of the SMA actuated valve can be estimated without using an extra sensor.

Deflections, stresses and free vibration studies of FG-CNT reinforced sandwich plates resting on Pasternak elastic foundation

  • Bendenia, Noureddine;Zidour, Mohamed;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Bedia, E.A. Adda;Mahmoud, S.R.;Tounsi, Abdelouahed
    • Computers and Concrete
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    • v.26 no.3
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    • pp.213-226
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    • 2020
  • The present study covenants with the static and free vibration behavior of nanocomposite sandwich plates reinforced by carbon nanotubes resting on Pasternak elastic foundation. Uniformly distributed (UD-CNT) and functionally graded (FG-CNT) distributions of aligned carbon nanotube are considered for two types of sandwich plates such as, the face sheet reinforced and homogeneous core and the homogeneous face sheet and reinforced core. Based on the first shear deformation theory (FSDT), the Hamilton's principle is employed to derive the mathematical models. The obtained solutions are numerically validated by comparison with some available cases in the literature. The elastic foundation model is assumed as one parameter Winkler - Pasternak foundation. A parametric study is conducted to study the effects of aspect ratios, foundation parameters, carbon nanotube volume fraction, types of reinforcement, core-to-face sheet thickness ratio and types of loads acting on the bending and free vibration analyses. It is explicitly shown that the (FG-CNT) face sheet reinforced sandwich plate has a high resistance against deflections compared to other types of reinforcement. It is also revealed that the reduction in the dimensionless natural frequency is most pronounced in core reinforced sandwich plate.

A Numerical Study on the Leakage of a Liquid from an Underwater Pipe without Pressure Gradient (압력구배가 없는 수중 파이프에서의 액체 오염물 유출에 관한 수치연구)

  • Song Museok;Han Jahoon
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.3 no.2
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    • pp.18-24
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    • 2000
  • A two-dimensional numerical method for inviscid two-fluid flows with a significant entrainment into both directions is established, and the oil leakage from a non-pressurized underwater pipe is studied. The interface between two fluids is modeled at a vortex sheet. The flow field and the subsequent interface evolution are solved by using the vortex-in-cell method. For longer flow simulation with a realistic two fluids interaction, an efficient merging scheme is introduced. In the Boussinesq limit, the speed of the external fluid intrusion into the pipe is very close to the existing mathematical models, and the lock exchange is observed in spite of a significant roll-up of the interface and entrainments. It is believed that the developed method can be utilized effectively for further detailed studies on various two-fluid flows which are encountered in many different marine oil spill problems.

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Reliability Prediction of Satellite by Function Analysis (기능분석을 통한 인공위성의 신뢰도 예측)

  • Yoo, Ki-Hoon;Kim, Gi-Young;Ahn, Yeong-Gi;Cha, Dong-Won;Shin, Goo-Hwan;Kim, Dong-Guk;Chae, Jang-Soo;Jang, Joong-Soon
    • Journal of Applied Reliability
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    • v.15 no.1
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    • pp.44-51
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    • 2015
  • In this study, we propose reliability prediction of a satellite by function analysis. To do so, the intended functions of the satellite are derived from using function structure block diagram, and defined as main, sub, and detailed functions. Furthermore, in order to generate function and reliability structure table, reliability model rule, duty cycle, and types of switch are assigned to the classified functions. This study also establishes reliability block diagram and mathematical reliability models to schematize the relationship among the functions. The reliability of the classified function is estimated by calculating the failure rate of parts comprising them. Finally, we apply the proposed method to a small satellite as a case study. The result shows that the reliability for the detailed function and the sub function as well as the main function could be predicted quantitatively and accurately by the proposed approach.

Development of ACBIO: A Biosphere Template Using AMBER for a Potential Radioactive Waste Repository (AMBER를 이용한 방사성폐기물처분장 생태계 평가 템플릿 ACBIO 개발)

  • Lee Youn-Myoung;Hwang Yongsoo;Kang Chul-Hyung;Hahn Pil-Soo
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.3 no.3
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    • pp.213-229
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    • 2005
  • Nuclides in radioactive wastes are assumed to be transported in the geosphere by groundwater and probably discharged into the biosphere. Quantitative evaluation of doses to human beings due to nuclide transport in the geosphere and through the various pathways in the biosphere is the final step of safety assessment of the radioactive waste repository. To calculate the flux to dose conversion factors (DCFs) for nuclides appearing at GBIs with their decay chains, a template ACBIO which is an AMBER case file based on mathematical model for the mass transfer coefficients between the compartments has been developed considering material balance among the compartments in biosphere and then implementing to AMBER, a general and flexible software tool that allows to build dynamic compartment models. An illustrative calculation with ACBIO is shown.

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Prediction Model for the Extraction Weights and Extraction Rate of Barley and Cassia Tora Seed Tea by Different Extraction Conditions (보리차 및 결명자(決明子)차의 추출조건(抽出條件)의 변화(變化)에 따른 추출량(抽出量) 및 추출속도(抽出速度) 예측(豫測)모델)

  • Jeong, Mun Ho;Choi, Yong Hee
    • Current Research on Agriculture and Life Sciences
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    • v.8
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    • pp.95-106
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    • 1990
  • The most important factors among extraction conditions in the extraction process of Barley and Casia tora seed are particle size, extraction temperature, time and initial concentration. In this research project, then, the amounts of extracted materials were measured at various conditions of above factors. They were increased as the particle sizes were decreased and were also increased in the proportional to the value of square of temperature. General mathematical prediction models were developed by an optimization technique for the amounts of extracted materials and extraction rate on the basis of each independent factor. Then, the final prediction model was obtained upon all the factors. As the results, it was also found that the values of overall mass transfer coefficients were increased as the particle sizes were decreased.

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Analysis of Flood due to Storm Surge at Masan Bay (마산만에서 고조로 인한 침수원인 분석)

  • 황호동;이중우;권소현
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2004.04a
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    • pp.217-224
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    • 2004
  • Open-coast storm surge computations are of value in planning and constructing engineering works, especially in coastal regions. Prediction of typhoon surge elevations is based primarily on the use of a numerical model in this study, since it is difficult to study these events in real time or with use of physical models. A simple quasi-two dimensional numerical model for storm surge is considered. In order to understand the model's underlying assumptions, range of validity, and application, we discussed several aspects of typhoons and the physical factors governing storm generation processes. We also followed the basic governing equation, together with the assumption generally taken in their development, to see the principle characteristics of the model from a physical as well as a mathematical point of view. The equations consistent with the model described here are reduced forms of the basic equations and their effects on the resulting numerical scheme are discussed. Finally we applied the model discussed above to a storm surge problem at Masan Bay, the south coast of Korea Effects of astronomical tide, initial water level, and atmospheric pressure setup are considered. We then analyzed the flood at the coastal city and proposed a reasonable way of flood control.

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Position-Fix Improvement of Integrated GPS and DR System Using Two-Level Noise Model (이중 잡음모델을 채용한 통합 GPS/DR 시스템의 측위성능개선)

  • Nam, Chan Woong;Lim, Sang Seok
    • Journal of Advanced Navigation Technology
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    • v.2 no.2
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    • pp.75-83
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    • 1998
  • This paper presents a low cost and high accuracy integrated Global Positioning System (GPS)/dead reckoning (DR) system. The integrated GPS/DR system is capable of providing highly accurate position data in real-time or in post processing. Based on the analysis of the main error source affecting the DR measurements, an eight-state mathematical model for the integrated system has been developed to represent these errors. This eight-state model has been used to build a nonlinear filter for the estimation of the state vector at every epoch when DR measurements are available. The accuracy of the system has been evaluated using 1Hz DR measurements and 3Hz continuous GPS position estimates. Through numerical simulation the system performance during periods with GPS outage has been investigated by comparing two different noise models. While one model is the position estimation filter containing a single noise model, the other filter includes two-level noise model. The simulation results have shown that the estimation filter containing two-level noise model for computing the position error of the integrated GPS/DR system yields better performance than that the filter including the single-level noise model does.

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