• Title/Summary/Keyword: modified equation

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Construction of a Structural Equation Model on Attitudes to Science Using LISREL (LISREL을 이용한 과학에서의 태도에 관한 구조방정식모델의 구축)

  • Lee, Kyung-Hoon
    • Journal of The Korean Association For Science Education
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    • v.17 no.3
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    • pp.301-311
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    • 1997
  • The purpose of this study is to construct a structural equation model and to analyze causal relationships among variables related to attitudes to science using structural equation modeling(SEM) with LISREL VII. The sample consisted of 483 10th grade boys from a general high school in Pusan, Korea. The questionnaires (ABC-attitude scale: affection, behavioral intention, cognition scale of attitude towards science) were developed by the researcher through a pilot study. And other instruments have modified previous ones. Five instruments were used in this study: GALT(group assessment of logical thinking), MTSlS(modified test of science inquiry skill), ABC-attitude scale, MSAS(modified scientific attitude scale), CSAT(common science achievement test). Structural equation modeling with LISREL VII($J\ddot{o}reskog$ & $S\ddot{o}rbom,$ 1993) was employed to estimate the causal inferences about hypothesized relationships among observed data sets. Three competing models consisted of five latent variable(scientific thinking ability, science inquiry skill, attitude towards science, scientific attitude, science achievement) - lP(inquiry preceding) model, AP(attitude preceding) model and AM(attitude mediating) model - were developed. Among these competing models, IP model satisfied the observed data sets. The causal relationships among "attitudes to science" and other latent variables were reliably identified. According to the results of the present study, science inquiry skill was the most significant variable that can predict science achievement. But scientific thinking ability has not directly influenced science achievement. This study suggests that inquiry based teaching-learning processes should be offered to students for improvement of science achievement. At the same time, it seems to be important to develop positive attitude towards science. Understanding of relationships among variables related to attitudes to science will be helpful to the development of science curriculum and to the design of science teaching and learning process. LISREL has been recognized as a useful approach in testing a SEM. However, in this study, LISREL approach was estimated as much more useful method for research design.

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A Study on the Stress Analysis and Parameters of Bucking in Spherical Shell (반 구형 각의 좌굴현상에 대한 응력해석 및 영향인자에 관한 연구)

  • Kim, Yeong-Su;An, Du-Seong
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.21 no.2
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    • pp.142-150
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    • 1985
  • In this paper, stress distribution were given in consideration of bending effects in hemi-spherical shell and a modified equation of buckling load was represented with implicating the effects of plastic deformations and shape parameters. Especially, the distributions of shell near it's vertex were analyzed numerically, according to several cases of loading. For the sake of more good estimation of plastic dissipating energy, we used the yield-line method from plate theory. The modified criterion of bucking, P super(*) sub(cr), that was suggested in this study, was applied to SUS 302 stain-less steel hemi-spherical shell which had it's Poisson's ratio and Young's modulus with 0.33 and 19700 kg/mm$^2$. From some experiments and comparisons with other results, 재 suggested the critical buckling-load-equation with P super(*) sub(cr)=2E super(*).(t super(2)/a super(2)).{3(1-ν super(*2)} and computed the buckling initiation load with this equation. Because these result from modified criterion have more coincidence than previous one, we prospect this equation can be magnified it's utilities to the other materials.

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Seam Efficiency of Geotextile and Verification of Allowable Bearing Capacity of Soft Ground (토목섬유 봉합효율과 연약지반 허용지지력 현장검증)

  • Cho, Dae-Sung;Chae, Yu-Mi;Kim, Jae-Hong
    • Journal of the Korean Geotechnical Society
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    • v.37 no.7
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    • pp.25-34
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    • 2021
  • Since the dredging reclaimed land consisting of soft ground is very weak in support, the difficult and complex factors should be considered in the design to calculate accurate bearing capacity of soft ground. Recently, various reinforcement construction methods of soft ground have been designed for dredged landfills, but the stabilities are predicted by calculating conventional Meyerhof (1974) equation for trafficability in soft ground. Conventional equations increase economic costs by underestimating bearing capacity of weak ground in order to ensure constructive safety, so a modified equation has been proposed from the literature. The paper attempts to experiment and compute important factors, such as stitching fiber and seam tensile strength of geotextiles, that are not theoretically considered and can be identified in the field. In addition, The evaluation of the bearing capacity of the modified equation is verified to be stable for trafficability through the plate bearing test performed on site.

A Note on the Modified Mild-Slope Equation (修正 緩傾斜方程式에 대한 小考)

  • Kyung Doug Suh;Woo Sun Park;Chang Hoon Lee
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.2
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    • pp.55-63
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    • 1998
  • Recently the modified mild-slope equation has been developed by several researchers using different approaches, which, compared to the Berkhoff's mild-slope equation, includes additional terms proportional to the square of bottom slope and to the bottom curvature. By examining this equation, it is shown that both terms are equally important in intermediate-depth water, but in shallow water the influence of the bottom curvature term diminishes while that of the bottom slope square term remains significant. In order to examine the importance of these terms in more detail, the modified mild-slope equation and the Berkhoff's mild-slope equation are tested for the problems of wave reflection from a plane slope, a non-plane slope, and periodic ripples. It is shown that, when only the bottom slope is concerned, the mild-slope equation can give accurate results up to a slope of 1 in 1 rather than 1 in 3, which, until now, has been known as the limiting bottom slope for its proper application. It is also shown that the bottom curvature term plays an important role in modeling wave propagation over a bottom topography with relatively mild variation, but, where the bottom slope is not small, the bottom slope square term should also be included for more accurate results.

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Calculation of Consolidation Settlement considering Primary and Secondary Settlement (1차와 2차 침하를 고려한 압밀침하량 계산식의 제안)

  • Lee, Dal-Won;Jeong, Seong-Gyu
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2003.10a
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    • pp.159-162
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    • 2003
  • In this study, it was proposed that a modified equation for estimating consolidation settlement on soft clay ground, which separate total settlement into primary and secondary settlement equation. The settlement by the proposed equation and by the measured settlements from laboratory model test was compared and verified for its application. It was appeared that the proposed equation from the laboratory model test approached to be more realistic comparing to the result of Terzaghi's equation. From the above application, it was concluded that the final settlement prediction by the Hyperbolic, Asaoka methods is needed to measure the initial period of settlement but the proposed equation could be much applicable in the lacking condition of measured data of the initial period.

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A Study on Modifacation of a Prediction Equation for the Natural Frequency of a Composite Deck Floor System through the Simplification of a section Transformation (합성데크 플레이트 바닥구조의 단면환산 단순화를 통한 고유진동수 예측식의 보정에 관한 연구)

  • Im, Ji Hoon;Park, Jin Young;Hong, Won Kee;Kim, Hee Cheul
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.549-556
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    • 2002
  • The natural frequency of a system is commonly used in evaluating the serviceability condition of a floor. However. the current equations recommended in many building codes do not consider the various material types of a slab system; thus. different results are observed. Likewise. the transformation of a slab section required to predict the natural frequency of a composite deck plate is complicated. due to the varying shapes of the deck plates. Therefore. a new and simplified method of transforming a composite slab into an equivalent concrete slab is proposed. he modified vibration prediction equation was proposed based on the current vibration prediction equation recommended by LRFD. Compared to other equations. it is the closest to those obtained from experiments. The modified equation provides about 14.3% more accurate results than that recommended by LRFD. Likewise. the applicability of the proposed equation to other types of composite deck plate floor system was validated.

Modified Equation for Ductility Demand Based Confining Reinforcement Amount of RC Bridge Columns (철근콘크리트 교각의 소요연성도에 따른 심부구속철근량 산정식 수정)

  • Lee, Jae-Hoon;Son, Hyeok-Soo
    • Journal of the Korea Concrete Institute
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    • v.21 no.2
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    • pp.169-178
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    • 2009
  • An equation for calculating confining reinforcement amount of RC bridge columns, specified in the current bridge design codes, has been made to provide additional load-carrying strength for concentrically loaded columns. The additional load-carrying strength will be equal to or slightly greater than the resistant strength of a column against axial load, which is lost because the cover concrete spalls off. The equation considers concrete compressive strength, yield strength of transverse reinforcement, and the section area ratio as major variables. Among those variables, the section area ratio between the gross section and the core section, varying by cover thickness, is a variable which considers the strength in the compression-controlled region. Therefore, the cross section ratio does not have a large effect in the aspect of ductile behavior of the tension-controlled region, which is governed by bending moment rather than axial force. However, the equation of the design codes for calculating confining reinforcement amount does not directly consider ductile behavior, which is an important factor for the seismic behavior of bridge columns. Consequently, if the size of section is relatively small or if the section area ratio becomes excessively large due to the cover thickness increased for durability, too large an amount of confining reinforcement will be required possibly deteriorating the constructability and economy. Against this backdrop, in this study, comparison and analysis were performed to understand how the cover thickness influences the equation for calculating the amount of confining reinforcement. An equation for calculating the amount of confining reinforcement was also modified for reasonable seismic design and the safety. In addition, appropriateness of the modified equation was examined based on the results of various test results performed at home and abroad.

ON THE APPLICABILITY OF TWO NEWTON METHODS FOR SOLVING EQUATIONS IN BANACH SPACE

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • v.6 no.2
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    • pp.369-378
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    • 1999
  • In This study we examine the applicability of Newton's method and the modified Newton's method for a, pp.oximating a lo-cally unique solution of a nonlinear equation in a Banach space. We assume that the newton-Kantorovich hypothesis for Newton's method is violated but the corresponding condition for the modified Newton method holds. Under these conditions there is no guaran-tee that Newton's method starting from the same initial guess as the modified Newton's method converges. Hence it seems that we must always use the modified Newton method under these condi-tions. However we provide a numerical example to demonstrate that in practice this may not be a good decision.

The Analysis of Arc-Flow Interaction in the GCB using the Modified FLIC Method and the Arc Model (Modified FLIC법과 아크 모델을 이용한 차단기 내의 아크 유동 해석)

  • Sin, Seung-Rok;Kim, Hong-Gyu;Jeong, Hyeon-Gyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.3
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    • pp.172-179
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    • 2000
  • In this paper, the analysis of the arc-flow in the GCB is presented by using the modified FLIC method and the arc model. The modified FLIC method adopts the upwind scheme and requires short calculation time. The arc model used in this paper treats the arc as a energy source in the energy equation. The energy source is composed of the ohmic heating and the radiation energy transfer. At each step, the movement of electrode is simulated. From the simulation, reasonable results can be obtained.

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