• Title/Summary/Keyword: Mathematical Modelling

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Review of Instant Release Fractions of Long-lived Radionuclides in CANDU and PWR Spent Nuclear Fuels Under the Geological Disposal Conditions

  • Choi, Heui Joo;Koo, Yang-Hyun;Cho, Dong-Keun
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.20 no.2
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    • pp.231-241
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    • 2022
  • Several countries, including Korea, are considering the direct disposal of spent nuclear fuels. The radiological safety assessment results published after a geological repository closure indicate that the instant release is the main radiation source rather than the congruent release. Three Safety Case reports recently published were reviewed and the IRF values of seven long-lived radionuclides, including relevant experimental results, were compared. According to the literature review, the IRF values of both the CANDU and low burnup PWR spent fuel have been experimentally measured and used reasonably. In particular, the IRF values of volatile long-lived nuclides, such as 129I and 135Cs, were estimated from the FGR value. Because experimental leaching data regarding high burnup spent nuclear fuels are extremely scarce, a mathematical modelling approach proposed by Johnson and McGinnes was successfully applied to the domestic high burnup PWR spent nuclear fuel to derive the IRF values of iodine and cesium. The best estimate of the IRF was 5.5% at a discharge burnup of 55 GWd tHM-1.

Observation of nano powders and fly ash usage effects on the fluidity features of grouts

  • Celik, Fatih;Yildiz, Oguzhan;Bozkir, Samet M.
    • Advances in nano research
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    • v.13 no.1
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    • pp.13-28
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    • 2022
  • The pumpability of the grouts is significant issue in concept of the rheological and workability properties during penetrating to voids and cracks. To improve the fluidity features of the grout mixes, the usage of Colloidal Nano Particular Powders (CNPPs) with mineral additives such as fly ash (FA) can contribute. Therefore, the main purpose of this study can be explained as investigating the usage effects of four types of Colloidal Nano Particular Powders (n-TiO2, n-ZnO, n-Al2O3 and n-SiO2) as nano additives on the rheological, workability and bleeding properties of cement-based grout incorporated with fly as. Test results showed that the usage of FA in the grout samples positively contribute to increase on the fluidity of the grout samples as expected. The dilatant behavior was observed from the results for all mixes. Observing the effect of nano-sized additives in such cement-based grout mixtures with high fluidity has presented remarkable effects in this study.

Monitoring and vibration control of a fluid catalytic cracking unit

  • Battista, Ronaldo C.;Varela, Wendell D.;Gonzaga, Igor Braz N.
    • Smart Structures and Systems
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    • v.29 no.4
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    • pp.577-588
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    • 2022
  • Oil refineries' Fluid Catalytic Cracking Units (FCCU) when in full operation may exhibit strong fluid dynamics caused by turbulent flow in the piping system that may induce vibrations in other mechanical and structural components of the Unity. This paper reports on the experimental-theoretical-computational program performed to get the vibration properties and the dynamic response amplitudes to find out alternative solutions to attenuate the excessive vibrations that were causing fatigue fractures in components of the bottle like reactor-regenerator of an FCC unit in operation in an existing oil refinery in Brazil. Solutions to the vibration problem were sought with the aid of a 3D finite element model calibrated with the results obtained from experimental measurements. A short description of the found solutions is given and their effectiveness are shown by means of numerical results. The solutions were guided by the concepts of structural stiffening and dynamic control performed by a nonlinear pendulum controller whose mechanical design was based on parameters determined by means of a parametric study carried out with 2D and 3D mathematical models of the coupled pendulum-structure system. The effectiveness of the proposed solutions is evaluated in terms of the fatigue life of critical welded connections.

Frequency response of elastic nanocomposite beams containing nanoparticles based on sinusoidal shear deformation beam theory

  • Hou, Suxia;Wu, Shengbin;Luo, Jijun;Nasihatgozar, Mohsen;Behshad, Amir
    • Steel and Composite Structures
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    • v.45 no.4
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    • pp.555-562
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    • 2022
  • Improving the mechanical properties of concrete in the construction industry in order to increase resistance to dynamic and static loads is one of the essential topics for researchers. In this work, vibration analysis of elastic nanocomposite beams reinforced by nanoparticles based on mathematical model is presented. For modelling of the strucuture, sinusoidal shear deformation beam theory (SSDBT) is utilized. Mori-anak model model is utilized for obtaining the effective properties of the strucuture including agglomeration influences. Utilizing the energy method and Hamilton's principal, the motion equations are calculated. The frequency of the elastic nanocomposite beam is obtanied by analytical method. The aim of this work is investigating the effects of nanoparticles volume percent and agglomeration, length and thickness of the beam on the frequency of the structure. The results show that the with enhancing the nanoparticles volume percent, the frequency is increased. In addition, the water absorption of the concrete is presented in this article.

Bundle Block Adjustment of Omni-directional Images by a Mobile Mapping System (모바일매핑시스템으로 취득된 전방위 영상의 광속조정법)

  • Oh, Tae-Wan;Lee, Im-Pyeong
    • Korean Journal of Remote Sensing
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    • v.26 no.5
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    • pp.593-603
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    • 2010
  • Most spatial data acquisition systems employing a set of frame cameras may have suffered from their small fields of view and poor base-distance ratio. These limitations can be significantly reduced by employing an omni-directional camera that is capable of acquiring images in every direction. Bundle Block Adjustment (BBA) is one of the existing georeferencing methods to determine the exterior orientation parameters of two or more images. In this study, by extending the concept of the traditional BBA method, we attempt to develop a mathematical model of BBA for omni-directional images. The proposed mathematical model includes three main parts; observation equations based on the collinearity equations newly derived for omni-directional images, stochastic constraints imposed from GPS/INS data and GCPs. We also report the experimental results from the application of our proposed BBA to the real data obtained mainly in urban areas. With the different combinations of the constraints, we applied four different types of mathematical models. With the type where only GCPs are used as the constraints, the proposed BBA can provide the most accurate results, ${\pm}5cm$ of RMSE in the estimated ground point coordinates. In future, we plan to perform more sophisticated lens calibration for the omni-directional camera to improve the georeferencing accuracy of omni-directional images. These georeferenced omni-directional images can be effectively utilized for city modelling, particularly autonomous texture mapping for realistic street view.

Mesocosm as a Scientific Tool for Marine Science: Focused on the Soft-bottom Environment (해양과학에서 mesocosm의 적용 사례 연구: 연성저질환경연구를 위한 도구)

  • Yang, Jae-Sam;Jeong, Yong-Hoon
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.14 no.2
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    • pp.93-106
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    • 2011
  • This review has dealt with definition, size, history, and status of mesocosm, and also discussed several problems and trouble shootings related to the building of mesocosm, and finally will suggest the future directions of this scientific tool. Due to the restriction of the space, the discussion mainly focused on "the mesocosm building for the soft-bottom ecosystem". The mesocosm is defined as "medium-sized, self-sustaining, and man-controllable ecosystem". This type of studies has already initiated since 1960, but nowadays it expands to the diverse fields of science and technologies, such as toxicology, limnology, environmental sciences and engineering, and even geochemistry. As a scientific tool, the mesocosm requires following aspects; replicability, repeatability, and ecological realism or accuracy. Several technical problems have to be solved for the perfect building of mesocosm. They are known as scaling, composition of seawater/sediment, light intensity, turbulence, hydraulic residence time, and top predator. These trouble shootings are provided at the discussion in detail. In the context, I expect two promising directions in the future; 1. Objectivity based on the diverse statistical methodologies, 2. "Living ecosystem modelling" coordinated with the mathematical modelling. With these, the mesocosm will be more powerful tool for the scientists and engineers to investigate the chemical and the ecological responses to the toxic materials and global climate changes.

Optimal Sensor Allocation for Health Monitoring of Roller-Coaster Structure (롤러코스터의 모니터링을 위한 최적 센서 구성)

  • Heo, Gwang Hee;Jeon, Seung Gon;Park, In Joon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.4
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    • pp.165-174
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    • 2011
  • This research aims at the optimal constitution of sensors required to identify the structural shortcoming of roller-coaster. In this research we analyzed the dynamic characteristics of roller-coaster by three dimensional FE modelling, decided on the appropriate location and number of sensors through optimal transducer theory, abstracted the mathematical value of modal features before and after damage on the basis of optimally placed and numbered sensors. and then presented it as a primary information about the basic structure which would be applied to damage estimation. As a target structure, the roller-coater at Seoul Children's Grand Park was chosen and built as a model reduced by one twentieth in size. In order to consider the Kinetics features particular to the roller-coaster structure, we made an exact three-dimensional FE modelling for the model structure by means of Spline function. As for the proper location and number of sensors, it was done by applying EIM and EOT. We also estimated the damage from the combination of strength, flexibility, and model corelation after abstracting the value of modal features. Finally the optimal transducer theory presented here in this research was proved to be valid, and the structural damage was well identified through changes in strength and flexibility. As a result, we were able to present the optimal constitution of sensors needed for the analysis of dynamic characteristics and the development of techniques in dynamic characteristics, which would ultimately contribute to the development of health monitoring for roller-coaster.

A Simulation to Find Rotation Efficiency according to the Draft Changes of Waterwheel in Open Rectangular Channel (사각형 개수로에서의 수차 흘수 변화에 따른 회전 효율 파악을 위한 시뮬레이션)

  • Lee, Kyong-Ho;Park, Hee-Wan
    • Journal of the Korea Society of Computer and Information
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    • v.18 no.4
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    • pp.113-121
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    • 2013
  • In this paper, simulations were carried out to determine the efficiency of the rotation efficiency according to the draft of waterwheel in open rectangular channel. In the small hydroelectric generators to get the highest efficiency of waterwheel is very important. But the presence of various elements(free water surface flow, non-uniform velocity distribution because of the waterways wall friction etc) makes it difficult to create a mathematical formula. In this paper, we made a scale model and perform a physical simulation where the draft, gradient and flux is variable. Scale modelling with 10-step draft, 3-step gradients and 2-step flux, as well were constructed then computerized automatic experimental system were configured to acquire the rotational efficiency vs. draft of itself. Rotational efficiency is analyzed as for the draft of waterwheel using the acquired data by varying the gradient and flux of canal. Reviewing the analyzed data, it is confirmed that phenomena of efficiency shown at previous and present experiment is similar and revealed that computerized system shows more sophisticated numerical figures.

Comparison of Two Rotor Configurations by Changing the Amount of Magnet and Reluctance Components

  • Beser, Esra Kandemir;Camur, Sabri;Arifoglu, Birol;Beser, Ersoy
    • Journal of Electrical Engineering and Technology
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    • v.10 no.1
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    • pp.155-164
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    • 2015
  • In this paper, two rotor configurations including different amount of magnet and reluctance parts are presented. The rotors are constituted by means of a flexible hybrid motor structure. Considerable features of the hybrid structure are that the combination of the magnet and reluctance parts can be suitably modified and the mechanical angle (${\beta}$) between the parts can also be varied. Two hybrid rotor configurations have been considered in this study. First, finite element (FE) simulations were carried out and the torque behaviors of the motors were predicted. The average torque ($T_{avg}$) and maximum torque ($T_{max}$) curves were obtained from FE simulations in order to find suitable ${\beta}$. Mathematical model of the motors was formed in terms of a,b,c variables considering the amount of the magnet and reluctance parts on the rotor and simulations were performed. Rotor prototypes, motor drive and drive method were introduced. Torque profiles of the motors were obtained by static torque measurement and loaded tests were also realized. Thus, simulation results were verified by experimental study. There is a good match between predictions and measurements. The proposed motors are operated with electrical $120^{\circ}$ mode as a brushless DC motor (BLDC) and torque versus speed characteristics show a compound DC motor characteristic. The motors can be named as brushless DC compound motors.

Structural Design Optimization of Dynamic Crack Propagation Problems Using Peridynamics (페리다이나믹스를 이용한 균열진전 문제의 구조 최적설계)

  • Kim, Jae-Hyun;Park, Soomin;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.4
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    • pp.425-431
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    • 2015
  • Based on a bond-based peridynamics theory for dynamic crack propagation problems, this paper presents a design sensitivity analysis and optimization method. Peridynamics has a peculiar advantage over the existing continuum theory in the mathematical modelling of problems where discontinuities arise. For the design optimization of the crack propagation problems, a non-shape design sensitivity is derived using the adjoint variable method. The obtained adjoint sensitivity of displacement and strain energy turns out to be very accurate and efficient compared to the finite different sensitivity. The obtained design sensitivities are futher utilized to optimally control the position of bifurcation point in the design optimization of crack propagation in a plate under tension. A numerical experiment demonstrates that the optimal distribution of material density could delay the position of bifurcation.