• 제목/요약/키워드: Computational Numerical Analysis

검색결과 2,972건 처리시간 0.033초

Ultimate strength estimation of composite plates under combined in-plane and lateral pressure loads using two different numerical methods

  • Ghannadpour, S.A.M.;Shakeri, M.;Barvaj, A. Kurkaani
    • Steel and Composite Structures
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    • 제29권6호
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    • pp.785-802
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    • 2018
  • In this paper, two different computational methods, called Rayleigh-Ritz and collocation are developed to estimate the ultimate strength of composite plates. Progressive damage behavior of moderately thick composite laminated plates is studied under in-plane compressive load and uniform lateral pressure. The formulations of both methods are based on the concept of the principle of minimum potential energy. First order shear deformation theory and the assumption of large deflections are used to develop the equilibrium equations of laminated plates. Therefore, Newton-Raphson technique will be used to solve the obtained system of nonlinear algebraic equations. In Rayleigh-Ritz method, two degradation models called complete and region degradation models are used to estimate the degradation zone around the failure location. In the second method, a new energy based collocation technique is introduced in which the domain of the plate is discretized into the Legendre-Gauss-Lobatto points. In this new method, in addition to the two previous models, the new model named node degradation model will also be used in which the material properties of the area just around the failed node are reduced. To predict the failure location, Hashin failure criteria have been used and the corresponding material properties of the failed zone are reduced instantaneously. Approximation of the displacement fields is performed by suitable harmonic functions in the Rayleigh-Ritz method and by Legendre basis functions (LBFs) in the second method. Finally, the results will be calculated and discussions will be conducted on the methods.

Discrimination and bifurcation analysis of tumor immune interaction in fractional form

  • Taj, Muhammad;Khadimallah, Mohamed A.;Hussain, Muzamal;Rashid, Yahya;Ishaque, Waqas;Mahmoud, S.R.;Din, Qamar;Alwabli, Afaf S.;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제10권4호
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    • pp.359-371
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    • 2021
  • A tumor immune interaction is a main topic of interest in the last couple of decades because majority of human population suffered by tumor, formed by the abnormal growth of cells and is continuously interacted with the immune system. Because of its wide range of applications, many researchers have modeled this tumor immune interaction in the form of ordinary, delay and fractional order differential equations as the majority of biological models have a long range temporal memory. So in the present work, tumor immune interaction in fractional form provides an excellent tool for the description of memory and hereditary properties of inter and intra cells. So the interaction between effector-cells, tumor cells and interleukin-2 (IL-2) are modeled by using the definition of Caputo fractional order derivative that provides the system with long-time memory and gives extra degree of freedom. Moreover, in order to achieve more efficient computational results of fractional-order system, a discretization process is performed to obtain its discrete counterpart. Furthermore, existence and local stability of fixed points are investigated for discrete model. Moreover, it is proved that two types of bifurcations such as Neimark-Sacker and flip bifurcations are studied. Finally, numerical examples are presented to support our analytical results.

Application of POD reduced-order algorithm on data-driven modeling of rod bundle

  • Kang, Huilun;Tian, Zhaofei;Chen, Guangliang;Li, Lei;Wang, Tianyu
    • Nuclear Engineering and Technology
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    • 제54권1호
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    • pp.36-48
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    • 2022
  • As a valid numerical method to obtain a high-resolution result of a flow field, computational fluid dynamics (CFD) have been widely used to study coolant flow and heat transfer characteristics in fuel rod bundles. However, the time-consuming, iterative calculation of Navier-Stokes equations makes CFD unsuitable for the scenarios that require efficient simulation such as sensitivity analysis and uncertainty quantification. To solve this problem, a reduced-order model (ROM) based on proper orthogonal decomposition (POD) and machine learning (ML) is proposed to simulate the flow field efficiently. Firstly, a validated CFD model to output the flow field data set of the rod bundle is established. Secondly, based on the POD method, the modes and corresponding coefficients of the flow field were extracted. Then, an deep feed-forward neural network, due to its efficiency in approximating arbitrary functions and its ability to handle high-dimensional and strong nonlinear problems, is selected to build a model that maps the non-linear relationship between the mode coefficients and the boundary conditions. A trained surrogate model for modes coefficients prediction is obtained after a certain number of training iterations. Finally, the flow field is reconstructed by combining the product of the POD basis and coefficients. Based on the test dataset, an evaluation of the ROM is carried out. The evaluation results show that the proposed POD-ROM accurately describe the flow status of the fluid field in rod bundles with high resolution in only a few milliseconds.

Thermal-fluid-structure coupling analysis on plate-type fuel assembly under irradiation. Part-II Mechanical deformation and thermal-hydraulic characteristics

  • Li, Yuanming;Ren, Quan-yao;Yuan, Pan;Su, Guanghui;Yu, Hongxing;Zheng, Meiyin;Wang, Haoyu;Wu, Yingwei;Ding, Shurong
    • Nuclear Engineering and Technology
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    • 제53권5호
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    • pp.1556-1568
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    • 2021
  • The plate-type fuel assembly adopted in nuclear research reactor suffers from complicated effect induced by non-uniform irradiation, which might affect stress conditions, mechanical behaviors and thermal-hydraulic performance of the fuel assembly. This paper is the Part II work of a two-part study devoted to analyzing the complex unique mechanical deformation and thermal-hydraulic characteristics for the typical plate-type fuel assembly under irradiation effect, which is on the basis of developed and verified numerical thermal-fluid-structure coupling methodology under irradiation in Part I of this work. The mechanical deformation, thermal-hydraulic performance and Mises stress have been analyzed for the typical plate-type fuel assembly consisting of support plates under non-uniform irradiation. It was interesting to observe that: the plate-type fuel assembly including the fuel plates and support plates tended to bend towards the location with maximum fission rate; the hot spots in the fuel foil appeared at the location with maximum thickness increment; the maximum Mises stress of fuel foil was located at the adjacent location with the maximum plate thickness increment et al.

이론적 열유동 해석을 이용한 농산물 저장 및 유통 스마트 유닛로드 컨테이너의 통기공 최적화 설계 (Ventilation Hole Optimum Design of Smart Unit Load Container for Storage and Distribution Agricultural Products by Theoretical Heat Flow Analysis)

  • 최동수;김용훈;김진세;박천완;정현모;김기석;박종민
    • 한국포장학회지
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    • 제28권3호
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    • pp.211-215
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    • 2022
  • Air distribution occupies an important position in the smart unit load container design process for agricultural products. Inner air may be uncomfortable because of its temperature, speed, direction, and volume flow rate. It doesn't matter how efficient the ventilation equipment is if the air is not distributed well. The main aim of this study was to design the inlet and outlet fan locations of smart unit load container for agricultural products. A numerical study was performed on the effects of the location of inlet air and outlet air in relation to the container cooling sources on air distribution and thermal comfort. A concept of combining inner container cooling sources with the exhaust outlet was employed in this investigation. Also, in this research, the developed CFD (Computational Fluid Dynamics) models were thoroughly validated. This system was adopted for use in container spaces, where the exhaust outlet was located. In this study, the location of the inlet was derived through CFD for a container with a size of 1,100×1,100×1,700 mm, and it was derived that the inlet was located at the center of the lower part of the container for efficient air flow. It was efficient to position the outlet through the air inlet in the center of the lower part of the container at the top of the same side.

탄소복합소재를 적용한 18ft급 레저보트의 수선하부 저항성능에 관한 연구 (A Study on the Resistance Performance Under Hull Form of 18ft Leisure Boat with Carbon Composite Materials)

  • 신국환;송준희
    • Composites Research
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    • 제34권6호
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    • pp.350-356
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    • 2021
  • 활주 선형의 선박은 직선으로 운항하거나 선회할 때, 그 속도에 따라 위치와 트림이 변화하며, 선체에 큰 저항이 발생한다. 본 논문에서는 탄소복합소재를 선체에 적용하여 선체무게와 내구성이 향상된 레저보트의 전산유체역학을 통해 선형에 대한 저항을 추정하였다. 18ft급 레저보트의 선수부와 선미부의 저항 성능을 확인하고 선형 전체의 유동장을 추정하였으며, 수치해석을 통해 각 트림의 저항을 비교하여 선형에 대한 안정성을 확인하였다. 또한, 선체에 걸리는 힘이 크지 않아 설계된 선형이 충분히 견딜 수 있을 것을 확인하였고, 파도의 파장과 배의 길이를 관성력에 대한 중력의 비로 계산하여 롤링이 얼마의 힘으로 발생하는지 확인하여 보트의 안정성을 분석하였다.

전산해석을 통한 전대뇌동맥류 코일 색전술 후 혈류 유동 분석 (Analysis of Blood Flow after Coil Embolization in Anterior Cerebral Artery Aneurysm)

  • 김동휘;윤정훈;이창용;제준우;김동민;배영오;황진율
    • 한국가시화정보학회지
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    • 제21권1호
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    • pp.80-93
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    • 2023
  • We performed numerical simulations of blood flow in an arterial cerebral artery aneurysm to investigate the hemodynamic behavior after coil embolization. A patient-specific model was created based on CTA data. We also conducted the coil embolization simulation to obtain the coil placement within the aneurysm. Blood was assumed to be an incompressible Newtonian fluid, and both the vessel and coil were considered rigid walls. The pulsatile boundary condition was applied at the inlet, and the outflow boundary conditions were used at the outlets. Our findings demonstrated that the coil embolization significantly reduces the blood volume flowrate entering the aneurysm by effectively blocking the inflow jet, leading to a decrease in both TAWSS and WSS, especially at the systolic peak in the impingement zone. While several high OSI regions disappeared over the aneurysm surface, we observed high OSI regions with a relatively small area where the coil did not completely occlude the aneurysm. Overall, these results quantitatively analyzed the effectiveness of coil embolization by focusing on hemodynamic indicators, potentially preventing aneurysm rupture. The present work could contribute to the development of patient-specific coil embolization.

Thermal post-buckling measurement of the advanced nanocomposites reinforced concrete systems via both mathematical modeling and machine learning algorithm

  • Minggui Zhou;Gongxing Yan;Danping Hu;Haitham A. Mahmoud
    • Advances in nano research
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    • 제16권6호
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    • pp.623-638
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    • 2024
  • This study investigates the thermal post-buckling behavior of concrete eccentric annular sector plates reinforced with graphene oxide powders (GOPs). Employing the minimum total potential energy principle, the plates' stability and response under thermal loads are analyzed. The Haber-Schaim foundation model is utilized to account for the support conditions, while the transform differential quadrature method (TDQM) is applied to solve the governing differential equations efficiently. The integration of GOPs significantly enhances the mechanical properties and stability of the plates, making them suitable for advanced engineering applications. Numerical results demonstrate the critical thermal loads and post-buckling paths, providing valuable insights into the design and optimization of such reinforced structures. This study presents a machine learning algorithm designed to predict complex engineering phenomena using datasets derived from presented mathematical modeling. By leveraging advanced data analytics and machine learning techniques, the algorithm effectively captures and learns intricate patterns from the mathematical models, providing accurate and efficient predictions. The methodology involves generating comprehensive datasets from mathematical simulations, which are then used to train the machine learning model. The trained model is capable of predicting various engineering outcomes, such as stress, strain, and thermal responses, with high precision. This approach significantly reduces the computational time and resources required for traditional simulations, enabling rapid and reliable analysis. This comprehensive approach offers a robust framework for predicting the thermal post-buckling behavior of reinforced concrete plates, contributing to the development of resilient and efficient structural components in civil engineering.

운전 조건을 고려한 승용차용 요소첨가 선택적 촉매환원장치의 내부 유동 해석에 관한 연구 (Internal Flow Analysis of Urea-SCR System for Passenger Cars Considering Actual Driving Conditions)

  • 문성준;조낙원;오세두;이호길;박경우
    • 대한기계학회논문집B
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    • 제40권3호
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    • pp.127-138
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    • 2016
  • 디젤 차량의 유해배출가스인 질소산화물 저감을 위해서는 정화성능이 우수한 요소첨가 선택적 촉매환원장치가 장착되어야 한다. 본 연구에서는 3차원 오일러리안-라그랑지안 전산유체해석을 통해 요소첨가 선택적 촉매환원장치의 수송현상에 따른 화학반응과 다상유동 특성을 수치적으로 예측한다. 이때, 수치적인 분무형상은 가시화실험에서 측정된 분사속도, 분무관통길이, 분무반경, 평균액적지름과 비교를 통해 보정되었다. 그리고 해석 결과는 실제 엔진 및 차량 시험에서 측정한 질소산화물 저감효율과 비교를 통해 검증되었으며, 상대오차 5% 이하의 정확도를 보여준다. 검증된 전산모델은 요소첨가 선택적 촉매환원장치의 내부유동해석에 사용되었으며, 이를 통해 압력강하와 속도증가 특성을 분석하고, 암모니아의 농도균일도와 과잉분포 위치를 예측한다.

중간구속조건을 갖는 양단탄성구속 Timoshenko 보-기동의 진동 및 동특성감도 해석 (Vibration and Dynamic Sensitivity Analysis of a Timoshenko Beam-Column with Ends Elastically Restrained and Intermediate Constraints)

  • 정정훈;주원호;김극천
    • 대한조선학회논문집
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    • 제30권1호
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    • pp.125-133
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    • 1993
  • 중간구속조건을 갖는 보 및 보-기둥의 진동에 관한 기존연구들의 대부분은 Euler 보이론틀에서 다루었다. 세장비가 작은 경우 또는 세장비가 큰 경우일지라도 고차진동에 대해서는 Timoshenko 이론들에 의한 해석이 요구되나, Timoshenko 보 및 보-기둥에 관한 연구사례는 적은 편이다. 본 연구에서는 Timoshenko 보-기둥에 대해서 양단경계조건을 병진스프링 회전스프링 구속으로, 중간구속조건을 임의 갯수의 집중질량 병진스프링 회전스프링으로 일반화하여 정식화한 다음 엄밀해법을 제시하고, 아울러 엄밀해법의 연산부담이 매우 큰 점을 고려하여 적정한 Rayleigh-Ritz 해석에 대해서도 검토하였다. Rayleigh-Ritz 해석에 있어서는 우선 기준계의 고유함수를 이용하는 방법이 고려될 수 있으나 이 경우에도 Euler 보이론과는 달라서 연산부담이 역시 큰 편이다. 따라서 기준계의 고유함수와 같은 성질을 갖는 다항식을 도출하고 이를 이용하는 Rayleigh-Ritz 해석의 유용성에 관해 검토했다. 한편, 본 연구의 대상계와 같은 복합계에 대해서는 최적설계관점에서 설계변수변경에 따른 재해석문제 또한 중요한 과제임을 고려하여, 특성다항식 이용 Rayleigh-Ritz 방법에 기초하여 계산되는 동특성 1차 감도의 유용성도 검토되었다. 수치 계산예를 통해 전기 특성 다항식을 이용한 Rayleigh-Ritz 해석이 정확도면에서 엄밀해와 부합성이 양호하고, 계산 효율은 매우 높음이 확인되었다.

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