• 제목/요약/키워드: Static Equilibrium Analysis

검색결과 178건 처리시간 0.026초

Static stability and of symmetric and sigmoid functionally graded beam under variable axial load

  • Melaibari, Ammar;Khoshaim, Ahmed B.;Mohamed, Salwa A.;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제35권5호
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    • pp.671-685
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    • 2020
  • This manuscript presents impacts of gradation of material functions and axial load functions on critical buckling loads and mode shapes of functionally graded (FG) thin and thick beams by using higher order shear deformation theory, for the first time. Volume fractions of metal and ceramic materials are assumed to be distributed through a beam thickness by both sigmoid law and symmetric power functions. Ceramic-metal-ceramic (CMC) and metal-ceramic-metal (MCM) symmetric distributions are proposed relative to mid-plane of the beam structure. The axial compressive load is depicted by constant, linear, and parabolic continuous functions through the axial direction. The equilibrium governing equations are derived by using Hamilton's principles. Numerical differential quadrature method (DQM) is developed to discretize the spatial domain and covert the governing variable coefficients differential equations and boundary conditions to system of algebraic equations. Algebraic equations are formed as a generalized matrix eigenvalue problem, that will be solved to get eigenvalues (buckling loads) and eigenvectors (mode shapes). The proposed model is verified with respectable published work. Numerical results depict influences of gradation function, gradation parameter, axial load function, slenderness ratio and boundary conditions on critical buckling loads and mode-shapes of FG beam structure. It is found that gradation types have different effects on the critical buckling. The proposed model can be effective in analysis and design of structure beam element subject to distributed axial compressive load, such as, spacecraft, nuclear structure, and naval structure.

임의의 경계조건을 갖는 비등방성 탄성체의 3차원 유한차분 해석 (Three-Dimensional Finite Difference Analysis of Anisotropic Body with Arbitrary Boundary Conditions)

  • 이상열;임성순;장석윤
    • 한국강구조학회 논문집
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    • 제12권3호통권46호
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    • pp.303-315
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    • 2000
  • 본 논문에서는 일반화된 21개 강성 매트릭스의 독립 변수를 모두 사용하였고 비등방성 3차원 탄성체의 지배 방정식 및 수치 해석 근사식을 유도하였다. 일반화된 3차원 해석은 2차원 해석의 제한성을 극복하는 정밀해를 보여줄 수 있으며, 두꺼운 보나 판, 또는 쉘에서 전단 변형 효과에 의한 처짐의 증가 효과를 더욱 정밀하게 해석할 수 있다. 따라서 본 논문은 3차원 비등방성 탄성체에 대하여 다양한 경계조건에 따른 유한 차분식을 유도하였으며 이를 전산화하여 해석 프로그램을 개발하였다. 특히, 본 논문에서는 자유경계조건에 대하여 개선된 유한차분법의 적용 방식을 제시하였다. 또한 탄성체의 각 방향 자유경계면에서 경계조건을 해결할 수 있는 일반화된 방식을 제시하였다. 몇가지 수치예제를 통하여 이러한 유한차분 경계처리 방식에 의한 비등방성 3차원 탄성체 해석의 타당성 및 거동을 분석하였다.

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손상 선박의 자세를 고려한 여객선 승객 탈출 시뮬레이션 (Passenger Ship Evacuation Simulation Considering External Forces due to the Inclination of Damaged Ship)

  • 하솔;조윤옥;구남국;이규열;노명일
    • 대한조선학회논문집
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    • 제50권3호
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    • pp.175-181
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    • 2013
  • This paper presents a simulation for passenger ship evacuation considering the inclination of a ship. In order to describe a passenger's behavior in an evacuation situation, a passenger is modeled as a rigid body which translates in the horizontal plane and rotates along the vertical axis. The position and rotation angle of a passenger are calculated by solving the dynamic equations of motions at each time step. To calculate inclined angle of damaged ship, static equilibrium equations of damaged ship are derived using "added weight method". Using these equations, physical external forces due to the inclination of a ship act on the body of each passenger. The crowd behavior of the passenger is considered as the flock behavior, a form of collective behavior of a large number of interacting passengers with a common group objective. Passengers can also avoid an obstacle due to penalty forces acting on their body. With the passenger model and forces acting on its body, the test problems in International Maritime Organization, Maritime Safety Committee/Circulation 1238(IMO MSC/Circ.1238) are implemented and the effects of ship's inclination on the evacuation time are confirmed.

Partitioning Behavior of Selected Printing Ink Solvents between Headspace and Chocolate Cookie Samples

  • An, Duek-Jun
    • Preventive Nutrition and Food Science
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    • 제16권3호
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    • pp.267-271
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    • 2011
  • Static Headspace Gas Chromatographic analysis was used to study the partitioning behavior of five organic printing ink solvents between chocolate cookie/air systems. Three cookie sample formulations varied with respect to chocolate type and overall percentage of constituents. Major considerations involved differences in fat content and type and resulting variability in chemical and physical structure. Each of the solvents studied (ethyl acetate, hexane, isopropanol, methyl ethyl ketone, toluene) represents a general class of printing ink solvents based on predominate functional group. Values of the partitioning coefficient (Kp) were determined at equilibrium using measured quantities of both solvent and cookie sample in closed systems at temperature of 25, 35, and $45^{\circ}C$. In each of the three cookies at the three test temperatures, toluene always exhibited the greatest value of partitioning to cookie and hexane always exhibited the least. Results also showed that the partitioning behavior of solvents is generally inversely related to temperature and that solvent affinity, though constant for a particular cookie type over all test temperatures, varies significantly among the three cookie types. The preference of each of the five solvents for each cookie sample was also found to vary with temperature. No correlation was found between the extent of partitioning and cookie formulation or physical characteristic of solvent. The Hildebrand parameter, related to ${\Delta}Hmix$ (heat of mixing), may be used to describe differences in partitioning based on the overall potential of a solvent/cookie interaction to occur. The potential for interaction is dependent upon the chemical structure of the cookie sample and thus the availability of 'active-sites' required for a given solvent.

Game Theory Based Coevolutionary Algorithm: A New Computational Coevolutionary Approach

  • Sim, Kwee-Bo;Lee, Dong-Wook;Kim, Ji-Yoon
    • International Journal of Control, Automation, and Systems
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    • 제2권4호
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    • pp.463-474
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    • 2004
  • Game theory is a method of mathematical analysis developed to study the decision making process. In 1928, Von Neumann mathematically proved that every two-person, zero-sum game with many pure finite strategies for each player is deterministic. In the early 50's, Nash presented another concept as the basis for a generalization of Von Neumann's theorem. Another central achievement of game theory is the introduction of evolutionary game theory, by which agents can play optimal strategies in the absence of rationality. Through the process of Darwinian selection, a population of agents can evolve to an Evolutionary Stable Strategy (ESS) as introduced by Maynard Smith in 1982. Keeping pace with these game theoretical studies, the first computer simulation of coevolution was tried out by Hillis. Moreover, Kauffman proposed the NK model to analyze coevolutionary dynamics between different species. He showed how coevolutionary phenomenon reaches static states and that these states are either Nash equilibrium or ESS in game theory. Since studies concerning coevolutionary phenomenon were initiated, there have been numerous other researchers who have developed coevolutionary algorithms. In this paper we propose a new coevolutionary algorithm named Game theory based Coevolutionary Algorithm (GCEA) and we confirm that this algorithm can be a solution of evolutionary problems by searching the ESS. To evaluate this newly designed approach, we solve several test Multiobjective Optimization Problems (MOPs). From the results of these evaluations, we confirm that evolutionary game can be embodied by the coevolutionary algorithm and analyze the optimization performance of our algorithm by comparing the performance of our algorithm with that of other evolutionary optimization algorithms.

완화된 평형조건을 만족하는 응력함수를 가지는 3절점 혼합 곡선보요소 (3-Node Relaxed-Equiribrium Hybrid-Mixed Curved Beam Elements)

  • 김진곤
    • 한국전산구조공학회논문집
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    • 제21권2호
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    • pp.153-160
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    • 2008
  • 본 연구에서는 완화된 평형조건을 만족하는 응력함수를 가지는 새로운 3절점 혼합요소를 제안하였다. 전단변형률을 고려한 본 요소는 Hellinger-Reissner 변분이론에 바탕하여 유한요소정식화를 수행하였다. 응력함수는 강체변형모드를 제거하고, 장일치(field consistency) 개념을 이용하여 곡선보의 극한거동에서 가성구속조건들을 억제할 수 있도록 선정하였다. 또한, 3절점 곡선보의 혼합정식화에서 강체변형모드를 제거하면서 동시에 평형방정식을 완전하게 만족하는 응력함수와 응력매개변수를 선정하는 것은 매우 어렵기 때문에 완화된 평형조건을 만족할 수 있는 응력함수를 도입하였다. 해석결과를 통하여, 제안된 3절점 혼합 곡선보요소가 곡선보의 해석에서 세장비와 곡률에 상관없이 매우 빠른 수렴성과 안정적인 거동을 나타냄을 확인할 수 있었으며, 응력분포 계산에 있어서도 기존 혼합요소보다 뛰어난 성능을 보여주었다.

동양의학에서 생명활동과정의 시스템을 통한 항노화 헬스케어 (Anti-aging Healthcare through The System of Life Activity Process in Oriental Medicine)

  • 김명주
    • 디지털융복합연구
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    • 제19권12호
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    • pp.513-521
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    • 2021
  • 본 연구의 목적은 동양의학에서 생명 활동 체계 부분의 문헌적 분석을 통해 항노화에 대한 헬스케어 방안을 제시하는 데 있다. 이를 위해 먼저 기의 승강출입운동을 통한 자연계와 인간 생명활동과정 시스템인 신기(神機)와 기립(氣立)에 관한 이론적 배경을 살펴보았다. 자연계와 인체의 생명활동과정이 정상적으로 유지되고 발전, 변화되는 근원은 내적으로 신기의 생장화수장(生长化收藏), 외적으로 기립의 생장장로이(生長壯老已)의 생명활동과정 시스템이 동태적인 협조평형에 있다. 그래서 자연계와 인체의 생명활동과정이 정상적으로 유지되고 발전, 변화되는 근원으로 분석되었다. 이로써 기의 승강출입운동을 응용한 항노화 헬스케어의 방법인 정적인 호흡법과 동적인 복부마사지가 결합한 '호흡마사지'로 인체 생명력의 근원인 진기의 자연치유력을 솟아나게 하면 생명활동과정 시스템인 신기와 기립이 조화를 이루어 건강수명 연장에 도움이 되리라 여겨진다.

수직적으로 차별화된 시장 하에서 망외부성이 미치는 영향에 대한 동태적 분석 (Dynamic Analysis of the Effect of Network Externality in Vertically Differentiated Market)

  • 조형래;이민호
    • 산업경영시스템학회지
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    • 제42권2호
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    • pp.1-8
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    • 2019
  • Network externalities are essentially dynamic in that the value consumers feel about a product is affected by the size of the existing customer base that uses that product. However, existing studies on network externalities analyzed the effects of network externalities in a static way, not dynamic. In this study, unlike previous studies, the impact of network externalities on price competition in a vertically differentiated market is dynamically analyzed. To this end, a two-period duopoly game model was used to reflect the dynamic aspects of network externalities. Based on the game model, the Nash equilibria for price, sales volume, and revenue were derived and numerically analyzed. The results can be summarized as follows. First, if high-end product has strong market power, the high-end product vendor takes almost all benefits of the network externality. Second, when high-end product has strong market power, the low-end product will take over most of the initial sales volume increase. Third, when market power of high-end product is not strong, it can be seen that the effects of network externalities on the high and low-end products are generally proportional to the difference in quality. Lastly, if there exists a strong network externality, it is shown that the presence of low-end product can be more profitable for high-end product vendor. In other words, high-end product vendor has incentive to disclose some technologies for the market entrance of low-end product, even if it has exclusive rights to the technologies. In that case, however, it is shown that the difference in quality should be maintained significantly.

Bending of axially functionally graded carbon nanotubes reinforced composite nanobeams

  • Ahmed Drai;Ahmed Amine Daikh;Mohamed Oujedi Belarbi;Mohammed Sid Ahmed Houari;Benoumer Aour;Amin Hamdi;Mohamed A. Eltaher
    • Advances in nano research
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    • 제14권3호
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    • pp.211-224
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    • 2023
  • This work presents a modified analytical model for the bending behavior of axially functionally graded (AFG) carbon nanotubes reinforced composite (CNTRC) nanobeams. New higher order shear deformation beam theory is exploited to satisfy parabolic variation of shear through thickness direction and zero shears at the bottom and top surfaces.A Modified continuum nonlocal strain gradient theoryis employed to include the microstructure and the geometrical nano-size length scales. The extended rule of the mixture and the molecular dynamics simulations are exploited to evaluate the equivalent mechanical properties of FG-CNTRC beams. Carbon nanotubes reinforcements are distributed axially through the beam length direction with a new power graded function with two parameters. The equilibrium equations are derived with associated nonclassical boundary conditions, and Navier's procedure are used to solve the obtained differential equation and get the response of nanobeam under uniform, linear, or sinusoidal mechanical loadings. Numerical results are carried out to investigate the impact of inhomogeneity parameters, geometrical parameters, loadings type, nonlocal and length scale parameters on deflections and stresses of the AFG CNTRC nanobeams. The proposed model can be used in the design and analysis of MEMS and NEMS systems fabricated from carbon nanotubes reinforced composite nanobeam.

Application of the optimal fuzzy-based system on bearing capacity of concrete pile

  • Kun Zhang;Yonghua Zhang;Behnaz Razzaghzadeh
    • Steel and Composite Structures
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    • 제51권1호
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    • pp.25-41
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    • 2024
  • The measurement of pile bearing capacity is crucial for the design of pile foundations, where in-situ tests could be costly and time needed. The primary objective of this research was to investigate the potential use of fuzzy-based techniques to anticipate the maximum weight that concrete driven piles might bear. Despite the existence of several suggested designs, there is a scarcity of specialized studies on the exploration of adaptive neuro-fuzzy inference systems (ANFIS) for the estimation of pile bearing capacity. This paper presents the introduction and validation of a novel technique that integrates the fire hawk optimizer (FHO) and equilibrium optimizer (EO) with the ANFIS, referred to as ANFISFHO and ANFISEO, respectively. A comprehensive compilation of 472 static load test results for driven piles was located within the database. The recommended framework was built, validated, and tested using the training set (70%), validation set (15%), and testing set (15%) of the dataset, accordingly. Moreover, the sensitivity analysis is performed in order to determine the impact of each input on the output. The results show that ANFISFHO and ANFISEO both have amazing potential for precisely calculating pile bearing capacity. The R2 values obtained for ANFISFHO were 0.9817, 0.9753, and 0.9823 for the training, validating, and testing phases. The findings of the examination of uncertainty showed that the ANFISFHO system had less uncertainty than the ANFISEO model. The research found that the ANFISFHO model provides a more satisfactory estimation of the bearing capacity of concrete driven piles when considering various performance evaluations and comparing it with existing literature.