• 제목/요약/키워드: quadrature

검색결과 1,091건 처리시간 0.025초

A machine learning-based model for the estimation of the critical thermo-electrical responses of the sandwich structure with magneto-electro-elastic face sheet

  • Zhou, Xiao;Wang, Pinyi;Al-Dhaifallah, Mujahed;Rawa, Muhyaddin;Khadimallah, Mohamed Amine
    • Advances in nano research
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    • 제12권1호
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    • pp.81-99
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    • 2022
  • The aim of current work is to evaluate thermo-electrical characteristics of graphene nanoplatelets Reinforced Composite (GNPRC) coupled with magneto-electro-elastic (MEE) face sheet. In this regard, a cylindrical smart nanocomposite made of GNPRC with an external MEE layer is considered. The bonding between the layers are assumed to be perfect. Because of the layer nature of the structure, the material characteristics of the whole structure is regarded as graded. Both mechanical and thermal boundary conditions are applied to this structure. The main objective of this work is to determine critical temperature and critical voltage as a function of thermal condition, support type, GNP weight fraction, and MEE thickness. The governing equation of the multilayer nanocomposites cylindrical shell is derived. The generalized differential quadrature method (GDQM) is employed to numerically solve the differential equations. This method is integrated with Deep Learning Network (DNN) with ADADELTA optimizer to determine the critical conditions of the current sandwich structure. This the first time that effects of several conditions including surrounding temperature, MEE layer thickness, and pattern of the layers of the GNPRC is investigated on two main parameters critical temperature and critical voltage of the nanostructure. Furthermore, Maxwell equation is derived for modeling of the MEE. The outcome reveals that MEE layer, temperature change, GNP weight function, and GNP distribution patterns GNP weight function have significant influence on the critical temperature and voltage of cylindrical shell made from GNP nanocomposites core with MEE face sheet on outer of the shell.

Formulation and evaluation a finite element model for free vibration and buckling behaviours of functionally graded porous (FGP) beams

  • Abdelhak Mesbah;Zakaria Belabed;Khaled Amara;Abdelouahed Tounsi;Abdelmoumen A. Bousahla;Fouad Bourada
    • Structural Engineering and Mechanics
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    • 제86권3호
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    • pp.291-309
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    • 2023
  • This paper addresses the finite element modeling of functionally graded porous (FGP) beams for free vibration and buckling behaviour cases. The formulated finite element is based on simple and efficient higher order shear deformation theory. The key feature of this formulation is that it deals with Euler-Bernoulli beam theory with only three unknowns without requiring any shear correction factor. In fact, the presented two-noded beam element has three degrees of freedom per node, and the discrete model guarantees the interelement continuity by using both C0 and C1 continuities for the displacement field and its first derivative shape functions, respectively. The weak form of the governing equations is obtained from the Hamilton principle of FGP beams to generate the elementary stiffness, geometric, and mass matrices. By deploying the isoparametric coordinate system, the derived elementary matrices are computed using the Gauss quadrature rule. To overcome the shear-locking phenomenon, the reduced integration technique is used for the shear strain energy. Furthermore, the effect of porosity distribution patterns on the free vibration and buckling behaviours of porous functionally graded beams in various parameters is investigated. The obtained results extend and improve those predicted previously by alternative existing theories, in which significant parameters such as material distribution, geometrical configuration, boundary conditions, and porosity distributions are considered and discussed in detailed numerical comparisons. Determining the impacts of these parameters on natural frequencies and critical buckling loads play an essential role in the manufacturing process of such materials and their related mechanical modeling in aerospace, nuclear, civil, and other structures.

탄성균열 해석을 위한 이동최소제곱 유한차분법의 내적확장 (Intrinsic Enrichment of Moving Least Squares Finite Difference Method for Solving Elastic Crack Problems)

  • 윤영철;이상호
    • 대한토목학회논문집
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    • 제29권5A호
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    • pp.457-465
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    • 2009
  • 본 연구는 균열선단에서 응력특이성을 갖는 탄성균열문제를 해석하기 위한 이동최소제곱 유한차분법을 제시한다. 응력특이성을 유발하는 균열선단 주변장을 모형화하기 위해 근사식에 선단주변함수를 내재적으로 도입하여 이동최소제곱 근사의 틀을 그대로 유지하면서 실제 미분계산을 거의 하지 않고 미분근사를 할 수 있는 이동최소제곱 Taylor 다항식 근사의 장점을 살렸다. 균열문제 정식화시 시간소모적인 적분과정이 필요한 약정식화 대신 해석영역에 배치된 절점에서 지배 미분방정식에 대한 차분식을 직접 구성하는 강정식화를 적용하여 계산 효율성을 향상시켰다. 균열문제 해석을 통해 내적확장된 이동최소제곱 유한차분법이 응력 특이성을 내포한 선단주변 변위장을 정확히 묘사할 수 있을 뿐만 아니라 응력확대계수를 정확히 계산 할 수 있음을 보였다.

Dynamic analysis of nanotube-based nanodevices for drug delivery in sports-induced varied conditions applying the modified theories

  • Shaopeng Song;Tao Zhang;Zhiewn Zhui
    • Steel and Composite Structures
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    • 제49권5호
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    • pp.487-502
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    • 2023
  • In the realm of nanotechnology, the nonlocal strain gradient theory takes center stage as it scrutinizes the behavior of spinning cantilever nanobeams and nanotubes, pivotal components supporting various mechanical movements in sport structures. The dynamics of these structures have sparked debates within the scientific community, with some contending that nonlocal cantilever models fail to predict dynamic softening, while others propose that they can indeed exhibit stiffness softening characteristics. To address these disparities, this paper investigates the dynamic response of a nonlocal cantilever cylindrical beam under the influence of external discontinuous dynamic loads. The study employs four distinct models: the Euler-Bernoulli beam model, Timoshenko beam model, higher-order beam model, and a novel higher-order tube model. These models account for the effects of functionally graded materials (FGMs) in the radial tube direction, giving rise to nanotubes with varying properties. The Hamilton principle is employed to formulate the governing differential equations and precise boundary conditions. These equations are subsequently solved using the generalized differential quadrature element technique (GDQEM). This research not only advances our understanding of the dynamic behavior of nanotubes but also reveals the intriguing phenomena of both hardening and softening in the nonlocal parameter within cantilever nanostructures. Moreover, the findings hold promise for practical applications, including drug delivery, where the controlled vibrations of nanotubes can enhance the precision and efficiency of medication transport within the human body. By exploring the multifaceted characteristics of nanotubes, this study not only contributes to the design and manufacturing of rotating nanostructures but also offers insights into their potential role in revolutionizing drug delivery systems.

Study on derivation from large-amplitude size dependent internal resonances of homogeneous and FG rod-types

  • Somaye Jamali Shakhlavi;Reza Nazemnezhad
    • Advances in nano research
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    • 제16권2호
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    • pp.111-125
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    • 2024
  • Recently, a lot of research has been done on the analysis of axial vibrations of homogeneous and FG nanotubes (nanorods) with various aspects of vibrations that have been fully mentioned in history. However, there is a lack of investigation of the dynamic internal resonances of FG nanotubes (nanorods) between them. This is one of the essential or substantial characteristics of nonlinear vibration systems that have many applications in various fields of engineering (making actuators, sensors, etc.) and medicine (improving the course of diseases such as cancers, etc.). For this reason, in this study, for the first time, the dynamic internal resonances of FG nanorods in the simultaneous presence of large-amplitude size dependent behaviour, inertial and shear effects are investigated for general state in detail. Such theoretical patterns permit as to carry out various numerical experiments, which is the key point in the expansion of advanced nano-devices in different sciences. This research presents an AFG novel nano resonator model based on the axial vibration of the elastic nanorod system in terms of derivation from large-amplitude size dependent internal modals interactions. The Hamilton's Principle is applied to achieve the basic equations in movement and boundary conditions, and a harmonic deferential quadrature method, and a multiple scale solution technique are employed to determine a semi-analytical solution. The interest of the current solution is seen in its specific procedure that useful for deriving general relationships of internal resonances of FG nanorods. The numerical results predicted by the presented formulation are compared with results already published in the literature to indicate the precision and efficiency of the used theory and method. The influences of gradient index, aspect ratio of FG nanorod, mode number, nonlinear effects, and nonlocal effects variations on the mechanical behavior of FG nanorods are examined and discussed in detail. Also, the inertial and shear traces on the formations of internal resonances of FG nanorods are studied, simultaneously. The obtained valid results of this research can be useful and practical as input data of experimental works and construction of devices related to axial vibrations of FG nanorods.

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.

Nonlinear bending of multilayer functionally graded graphene-reinforced skew microplates under mechanical and thermal loads using FSDT and MCST: A study in large deformation

  • J. Jenabi;A.R. Nezamabadi;M. Karami Khorramabadi
    • Structural Engineering and Mechanics
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    • 제90권3호
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    • pp.219-232
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    • 2024
  • In current study, for the first time, Nonlinear Bending of a skew microplate made of a laminated composite strengthened with graphene nanosheets is investigated. A mixture of mechanical and thermal stresses is applied to the plate, and the reaction is analyzed using the First Shear Deformation Theory (FSDT). Since different percentages of graphene sheets are included in the multilayer structure of the composite, the characteristics of the composite are functionally graded throughout its thickness. Halpin-Tsai models are used to characterize mechanical qualities, whereas Schapery models are used to characterize thermal properties. The microplate's non-linear strain is first calculated by calculating the plate shear deformation and using the Green-Lagrange tensor and von Karman assumptions. Then the elements of the Couple and Cauchy stress tensors using the Modified Coupled Stress Theory (MCST) are derived. Next, using the Hamilton Principle, the microplate's governing equations and associated boundary conditions are calculated. The nonlinear differential equations are linearized by utilizing auxiliary variables in the nonlinear solution by applying the Frechet approach. The linearized equations are rectified via an iterative loop to precisely solve the problem. For this, the Differential Quadrature Method (DQM) is utilized, and the outcomes are shown for the basic support boundary condition. To ascertain the maximum values of microplate deflection for a range of circumstances-such as skew angles, volume fractions, configurations, temperatures, and length scales-a parametric analysis is carried out. To shed light on how the microplate behaves in these various circumstances, the resulting results are analyzed.

자기공명영상 왜곡에서 마스카라와 아이섀도의 영향 (Effects of the mascara and eye shadow on theMR image distortion)

  • 이현용;신운재;박병래
    • 대한방사선기술학회지:방사선기술과학
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    • 제28권1호
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    • pp.25-32
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    • 2005
  • 목 적 : 마스카라와 아이섀도가 자기공명영상 획득시 artifact를 어느 정도 일으키는가를 알아보고, pulse sequence에 따른 영상 왜곡의 차이를 비교하고자 한다. 대상 및 방법 : 실제 국내 여성들이 많이 사용 중인 3개 제조사의 제품 중 마스카라(M1, M2, M3)와 아이섀도(E1, E2, E3)를 선별하여 사용하였다. 자체 제작한 내경이 4 cm, 코일의 길이가 8 cm인 Tx/Rx 겸용의 quadrature type의 안장 코일을 사용하였다. 실험 1에서는 마스카라를 실험 2에서는 아이섀도를 실험 3에서는 마스카라에 아이섀도를 덧바른 후 영상을 획득하였다. Pulse sequence는 FSE(fast spin echo), SE(spin echo), GE(gradient echo)기법을 적용하였으며, 나타난 artifacts는 axial상에서 폭, sagittal상에서 길이를 각각 측정하였다. 각 sequence별로 측정된 영상왜곡 정도를 정량적 및 정성적으로 분석하였다. 결 과 : 마스카라와 아이섀도가 자기공명영상에서 부분적으로 artifact가 발생되어 영상왜곡을 유발하였다. Pulse sequence에 따른 artifact의 유발 정도도 다소 차이가 나타났다. 마스카라에 아이섀도를 덧바른 실험 3에서는 axial상에서 GE sequence에서 16.73 mm, SE에서 6.64 mm, FSE에서 6.19 mm의 폭으로 GE 기법에서 가장 많이 유발되었으며, SE, FSE 기법 순으로 높게 나타났다. sagittal상에서 GE sequence에서 22.84 mm, SE에서 18.15 mm, SE에서 17.81 mm의 길이로 GE 기법에서 가장 많이 유발되었으며, SE, FSE 기법 순으로 낮게 나타났다. 결 론 : 마스카라와 아이섀도로 화장한 여성의 뇌 및 안구 영상검사시 artifact가 영상진단에 영향을 미치는 것으로 판단된다. 뇌 및 안구 T2 강조영상을 얻고자 하는 경우는 pulse sequence를 GE보다 FSE 기법을 사용하는 것이 적합한 것으로 사료된다.

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복합재료 팻칭에 의한 중앙경사균열에서 2단계 확장 가상균열닫힘법을 사용한 혼합모우드해석 (Mixed Mode Analysis using Two-step Extension Based VCCT in an Inclined Center Crack Repaired by Composite Patching)

  • 안재석;우광성
    • 대한토목학회논문집
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    • 제32권1A호
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    • pp.11-18
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    • 2012
  • 이 논문에서는 유리-에폭시 섬유 보강 복합재료판에 $K_I$$K_{II}$ 에 의한 혼합모우드 상태의 균열된 알루미늄판의 응력확대계수의 수치해석 산정을 다루고 있다. 응력확대계수 산정을 위한 가상균열닫힘법과 2단계 확장법이 고려된다. 에너지 방출률과 응력확대계수의 항으로 표현되는 파괴역학 매개변수 계산을 위하여, p-수렴 부분 층별모델이 채택된다. 고려되는 p-수렴 방식은 저매개변수 요소의 개념에 기초한다. 1개 층에 대해 가정된 변위장, 변위-변형률 관계, 그리고 3차원 구성방정식은 2차원과 1차원 고차 형상함수의 조합으로 정의된다. 고려되는 요소는 변위장의 보간과 수치적분을 수행하기 위해 로바토 형상함수와 가우스-로바토 적분법이 사용된다. 언급된 모델과 기법들을 사용하여, 경사각도의 변화에 따른 적층판 형상의 효과와 접착제의 강도가 팻치보강 시스템에 미치는 영향이 조사된다. 중립축 변화에 따른 팻치보강 적층판의 면외 휨 효과도 분석된다. 고려되는 모델의 정확성과 단순성 등에 관해서 응력확대계수, 응력분포, 자유도 수, 에너지 방출률 등의 항목을 가지고서 평가된다.

Motor Control IP Design and Quality Evaluation from the Viewpoint of Reuse (ICCAS 2004)

  • Lee, Sang-Deok;Han, Sung-Ho;Kim, Min-Soo;Park, Young-Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.981-985
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    • 2004
  • In this paper we designed the motor control IP Core and evaluate its quality from the viewpoint of IP reuse. The most attractive merit of this methodology, so called IP-based hardware design, is hardware reuse. Although various vendors designed hardware with the same specification and got the same functional results, all that IPs is not the same quality in the reuse aspect. As tremendous calls for SoC have been increased, associated research about IP quality standard, VSIA(Virtual Socket Interface Alliance) and STARC(Semiconductor Technology Academic Research Center), has been doing best to make the IP quality evaluation system. And they made what conforms to objective IP design standard. We suggest the methodology to evaluate our own designed motor control IP quality with this standard. To attain our goal, we designed motor control IP that could control the motor velocity and position with feedback compensation algorithm. This controller has some IP blocks : digital filter, quadrature decoder, position counter, motion compensator, and PWM generator. Each block's functionality was verified by simulator ModelSim and then its quality was evaluated. To evaluate the core, We use Vnavigator for lint test and ModelSim for coverage check. During lint process, We adapted the OpenMORE's rule based on RMM (Reuse Methodology Manual) and it could tell us our IP's quality in a manner of the scored value form. If it is high, its quality is also high, and vice versa. During coverage check ModelSim-SE is used for verifying how our test circuits cover designs. This objective methods using well-defined commercial coverage metrics could perform a quantitative analysis of simulation completeness. In this manner, We evaluated the designed motor control IP's quality from the viewpoint of reuse. This methodology will save the time and cost in designing SoC that should integrate various IPs. In addition to this, It can be the guide for comparing the equally specified IP's quality. After all, we are continuously looking forward to enhancing our motor control IP in the aspect of not only functional perfection but also IP reuse to prepare for the SoC-Compliant motor control IP design.

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