• Title/Summary/Keyword: Structural Equations

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Dynamic Characteristics Analysis of Spherical Shell with Initial Deflection(II) - Effects of Initial Deflection - (초기 처짐을 갖는 Spherical Shell의 동적 특성에 관한 연구(II) - 초기 처짐에 따른 동적 특성 -)

  • Cho, Jin-Goo
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.40 no.5
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    • pp.91-99
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    • 1998
  • The widespread use of thin shell structures has created a need for a systematic method of analysis which can adequately account for arbitrary geometric form and boundary conditions as well as arbitrary general type of loading. Therefore, the stress and analysis of thin shell has been one of the more challenging areas of structural mechanics. A wide variety of numerical methods have been applied to the governing differential equations for spherical and cylindrical structures with a few results applicable to practice. The analysis of axisymmetric spherical shell is almost an every day occurrence in many industrial applications. A reliable and accurate finite element analysis procedure for such structures was needed. Dynamic loading of structures often causes excursions of stresses well into the inelastic range and the influence of geometry changes on the response is also significant in many cases. Therefore both material and geometric nonlinear effects should be considered. In general, the shell structures designed according to quasi-static analysis may fail under conditions of dynamic loading. For a more realistic prediction on the load carrying capacity of these shell, in addition to the dynamic effect, consideration should also include other factors such as nonlinearities in both material and geometry since these factors, in different manner, may also affect the magnitude of this capacity. The objective of this paper is to demonstrate the dynamic characteristics of spherical shell. For these purposes, the spherical shell subjected to uniformly distributed step load was analyzed for its large displacements elasto-viscoplastic static and dynamic response. Geometrically nonlinear behaviour is taken into account using a Total Lagrangian formulation and the material behaviour is assumed to elasto-viscoplastic model highly corresponding to the real behaviour of the material. The results for the dynamic characteristics of spherical shell in the cases under various conditions of base-radius/central height(a/H) and thickness/shell radius(t/R) were summarized as follows : The dynamic characteristics with a/H. 1) AS the a/H increases, the amplitude of displacement in creased. 2) The values of displacement dynamic magnification factor (DMF) were ranges from 2.9 to 6.3 in the crown of shell and the values of factor in the mid-point of shell were ranged from 1.8 to 2.6. 3) As the a/H increases, the values of DMF in the crown of shell is decreased rapidly but the values of DMF in mid-point shell is increased gradually. 4) The values of DMF of hoop-stresses were range from 3.6 to 6.8 in the crown of shell and the values of factor in the mid-point of shell were ranged from 2.3 to 2.6, and the values of DMF of stress were larger than that of displacement. The dynamic characteristics with t/R. 5) With the thickness of shell decreases, the amplitude of the displacement and the period increased. 6) The values of DMF of the displacement were ranged from 2.8 to 3.6 in the crown of shell and the values of factor in the mid-point of shell were ranged from 2.1 to 2.2.

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Characteristics of Algebraic Thinking and its Errors by Mathematically Gifted Students (수학영재의 대수적 사고의 특징과 오류 유형)

  • Kim, Kyung Eun;Seo, Hae Ae;Kim, Dong Hwa
    • Journal of Gifted/Talented Education
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    • v.26 no.1
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    • pp.211-230
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    • 2016
  • The study aimed to investigate the characteristics of algebraic thinking of the mathematically gifted students and search for how to teach algebraic thinking. Research subjects in this study included 93 students who applied for a science gifted education center affiliated with a university in 2015 and previously experienced gifted education. Students' responses on an algebraic item of a creative thinking test in mathematics, which was given as screening process for admission were collected as data. A framework of algebraic thinking factors were extracted from literature review and utilized for data analysis. It was found that students showed difficulty in quantitative reasoning between two quantities and tendency to find solutions regarding equations as problem solving tools. In this process, students tended to concentrate variables on unknown place holders and to had difficulty understanding various meanings of variables. Some of students generated errors about algebraic concepts. In conclusions, it is recommended that functional thinking including such as generalizing and reasoning the relation among changing quantities is extended, procedural as well as structural aspects of algebraic expressions are emphasized, various situations to learn variables are given, and activities constructing variables on their own are strengthened for improving gifted students' learning and teaching algebra.

A Study on the Mediating Effects of Organizational Learning Orientation on the Relationship between Entrepreneurship of Corporate Members and Individual and Group Creativity (기업조직 구성원의 기업가정신과 개인 및 집단 창의성 관계에서 조직학습지향성의 매개효과에 관한 연구)

  • Song, Chan-Sub;Noh, Youn-Sook;Lee, Da-Jung;Lee, Sun-Kyu
    • Journal of Digital Convergence
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    • v.18 no.3
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    • pp.99-110
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    • 2020
  • This study deals with the relationship between entrepreneurship of corporate member and creativity at the organizational level by empirically analyzing the relationship between entrepreneurship, organizational learning orientation, individual creativity, and group creativity. In particular, the relationship between entrepreneurship and creativity focuses on analyzing the mediating effects of organizational learning orientation. Based on the literature research, the research model and hypothesis were established by explaining the relationship between entrepreneurship, individual and group creativity, and organizational learning orientation. 308 copies of the questionnaire were distributed and collected for manufacturing workers in Gyeongbuk, and empirical analysis was conducted through structural equations. As a result, it was confirmed that entrepreneurship has an influence on organizational learning orientation without directly affecting individual and group creativity. In addition, the effects of entrepreneurship on organizational learning orientation and organizational learning orientation on individual and group creativity were examined. These findings can provide Directions for organizational management from the cultural perspective by identifying the effects of entrepreneurship and organizational learning orientation at the organizational level.

Finite Element Analysis for Evaluation of Viscous and Eccentricity Effects on Fluid Added Mass and Damping (유체 부가질량 및 감쇠 결정시 점성 및 편심 영향에 대한 유한요소해석)

  • 구경회;이재한
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.2
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    • pp.21-27
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    • 2003
  • In general, simple fluid added mass method is used for the seismic and vibration analysis of the immersed structure to consider the fluid-structure interaction effect. Actually, the structural response of the immersed structure can be affected by both the fluid added mass and damping caused by the fluid viscosity. These variables appeared as a consistent matrix form with the coupling terms. In this paper, finite element formula for the inviscid fluid case and viscous fluid case are derived from the linearized Navier Stoke's equations. Using the finite element program developed in this paper, the analyses of fluid added mass and damping for the hexagon core structure of the liquid metal reactor are carried out to investigate the effect of fluid viscosity with variation of the fluid gap and Reynolds number. From the analysis results, it is verified that the viscosity significantly affects the fluid added mass and damping as the fluid gap size decrease. From the analysis results of eccentricity effect on the fluid added mass and damping of the concentric cylinders, the fluid added mass increase as the eccentricity increases, however the fluid damping increases only when the eccentricity is very severe.

Tracking Method of Inclination-dependent 2-axis Solar Tracker (경사각 종속형 2축식 태양광 추적기의 추적방식)

  • Hong, Jung-Hoon;Kim, Eun-Sung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.180-187
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    • 2013
  • The dinger in solar generation is the amount of sunlight which the solar cells absorb. Various types of solar trackers, which rotate themselves in order to make the solar cells face the sun as much as possible, have been developed, and especially the method of tracking with two axes has greatly contributed in increasing the generation amount at work sites. Among theses 2-axis solar trackers, the inclination-dependent 2-axis solar tracker are widely utilized for its advantages of requiring less initial investment and easy maintenance due to a solid structure. However, the drawback is that the generation efficiency is relatively low because of the structural restriction that limits the rotation angle, thus making it less efficient when tracking the sun. This paper proposes a method to increase the generation efficiency of the inclination-dependent 2-axis solar tracker. It also contains the derived equations needed for precise controlling along with a method to keep tracking with the other axis even when one has reached its angle limit. To confirm that the proposed method increases the amount of incidence onto the solar cells, formulas needed for operation on the proposed method and tracking the exact position of the sun are derived, and applying this to the quarterly data of Korea Astronomy and Space Science Institute it shows maximum over 11.1% more incidence compared to existing methods.

Indeterminate Strut-Tie Model and Load Distribution Ratio of Continuous RC Deep Beams (II) Validity Evaluation (연속지지 RC 깊은 보의 부정정 스트럿-타이 모델 및 하중분배율 (II) 적합성 평가)

  • Chae, Hyun-Soo;Kim, Byung-Hun;Yun, Young-Mook
    • Journal of the Korea Concrete Institute
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    • v.23 no.1
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    • pp.13-22
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    • 2011
  • In this study, ultimate strengths of 51 continuous reinforced concrete deep beams were evaluated by the ACI 318M-08's strut-tie model approach implemented with the presented indeterminate strut-tie model and load distribution ratio of the companion paper. The ultimate strengths of the continuous deep beams were also estimated by the shear equations derived based on experimental results, conventional design codes based on experimental and theoretical shear strength models, and current strut-tie model design codes. The validity of the presented strut-tie model and load distribution ratio was examined through the comparison of the strength analysis results classified according to the primary design variables of shear span-to-effective depth ratio, flexural reinforcement ratio, and concrete compressive strength. The present study results of ultimate strengths obtained using the indeterminate strut-tie model and load distribution ratio of the continuous deep beams agree fairly well with those obtained using other approaches. In addition, the present approach reflected the effect of the primary design variables on the ultimate strengths of the continuous deep beams consistently and accurately. Therefore, the present study will help structural designers to conduct rational and practical strut-tie model designs of continuous deep beams.

Study on the Micellization of CPC/Brij 35 Mixed Surfactant Systems in Water (순수 물에서 CPC/Brij 35 혼합계면활성제의 미셀화에 대한 연구)

  • Gil, Han-Nae;Lee, Byung-Hwan
    • Journal of the Korean Chemical Society
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    • v.53 no.2
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    • pp.118-124
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    • 2009
  • The values of critical micelle concentration (CMC) and counter ion binding constants (B) in a micellar state of CPC (1-hexadecylpyridinium chloride) with Brij 35 (polyoxyethylene(23) lauryl ether) in water were determined as a function of ${\alpha}_1$ (the overall mole fraction of CPC) by the use of electric conductivity method. Various thermodynamic parameters ($X_i,\;{\gamma}_i,\;C_i,\;a_{i}^{M},\;\beta,\;and\;{\Delta}H_{mix}$) were calculated and analyzed by means of the equations derived from the non-ideal mixed micellar model. And thermodynamic parameters (${\Delta}{G^o}_m,\;{\Delta}{H^o}_m,\;and\;{\Delta}{S^o}_m$) for the micellization of CPC/Brij 35 mixtures were also calculated from the temperature dependence of the CMC values. The values of ${\Delta}{G^o}_m$ are all negative, but the values of ${\Delta}{S^o}_m$ and ${\Delta}{H^o}_m$ are positive or negative, depending on the measured temperature and ${\alpha}_1$.

Modeling of Liquid Hold-up in Fixed-bed Reactor for Fischer-Tropsch Synthesis (고정층 Fischer-Tropsch 반응기의 액상 왁스 정체 현상 모델링)

  • Park, Chansaem;Jung, Ikhwan;Park, Seongho;Na, Jonggeol;Kshetrimayum, Krishnadash;Han, Chonghun;Lee, Jong Yeol;Jung, Jongtae
    • Journal of the Korean Institute of Gas
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    • v.18 no.4
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    • pp.63-67
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    • 2014
  • Fischer-Tropsch synthesis mainly produces a wax which is a viscous liquid for long carbon chain. When a catalytic fixed-bed reactor is used for Fischer-Tropsch synthesis, the wax generated on a catalyst surface can keep adsorbing on the catalyst surface. This liquid hold-up causes significant pressure drop and clogging problems through the reactor. Thus, the model for liquid hold-up is required to design the size of reactor and catalyst particles. In this study, the liquid hold-up model considering structural and operational conditions was proposed based on empirical equations for convective mass transfer between the syngas flow and the wax-adsorbed catalyst. The developed model was validated by comparing with the experimental data from Knochen's work (2010). The influence of reactor length and coross section on the wax hold-up in reactor were analyzed and the optimal reactor size were proposed.

An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

  • Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • v.31 no.2
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    • pp.181-210
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    • 2009
  • This paper presents the theoretical developments of an exact finite strip for the buckling and initial post-buckling analyses of isotropic flat plates. The so-called exact finite strip is assumed to be simply supported out-of-plane at the loaded ends. The strip is developed based on the concept that it is effectively a plate. The present method, which is designated by the name Full-analytical Finite Strip Method in this paper, provides an efficient and extremely accurate buckling solution. In the development process, the Von-Karman's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-of-plane buckling deflection modes. The investigation of thin flat plate buckling behavior is then extended to an initial post-buckling study with the assumption that the deflected form immediately after the buckling is the same as that obtained for the buckling. It is noted that in the present method, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e., the first mode is used for the initial post-buckling study. Thus, the postbuckling study is effectively a single-term analysis, which is attempted by utilizing the so-called semi-energy method. In this method, the Von-Karman's compatibility equation governing the behavior of isotropic flat plates is used together with a consideration of the total strain energy of the plate. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficient in the assumed out-of-plane deflection function. These in-plane and out-of-plane deflected functions are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficient. The developed method is subsequently applied to analyze the initial postbuckling behavior of some representative thin flat plates for which the results are also obtained through the application of a semi-analytical finite strip method. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of the developed method is significantly promoted.

Effects of Biased Awareness of Security Policies on Security Compliance Behavior (보안정책에 대한 편향적 사고가 보안준수 행동에 미치는 영향)

  • Heo, Jun;Ahn, Seongjin
    • The Journal of Korean Association of Computer Education
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    • v.23 no.1
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    • pp.63-75
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    • 2020
  • From the perspective of compliance with security policies by members of the organization, which is a major cause of security incidents, this study presented biased thinking as factors that affect compliance with security policies and verified the following: First, the impact of biased thinking on security policies on compliance with security policies is verified. Second, the participation of management, perceived risk, education and punishment of management will verify the adjustment effect of increasing or decreasing biased thinking. Finally, we have verified that compliance attitudes have a significant impact on compliance behavior. To this end, 157 people were surveyed, statistical analysis of research models and structural equations, and conformity analysis were conducted. Studies have shown that biased thinking has a negative effect on the attitude of compliance with information security. In addition, it was analyzed that the attitude of compliance with information security policy increases policy compliance behavior. On the other hand, the higher the perceived risk of information security, the lower the bias was the adjustment effect, but management's participation, education and punishment were found to have no adjustment effect.