• Journal for History of Mathematics
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• v.25 no.4
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• pp.83-99
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• 2012

The conic sections are defined as algebraic expressions using the focus and the directrix in the high school curriculum. However it is difficult that students understand the conic sections without environment which they can manipulate the conic sections. To make up for this weak point, we have found the evidence for generating method of a conic section through a sundial and investigated the history of terms 'focus', 'directrix' and the tool of drawing them continuously.

• Proceedings of the KAIS Fall Conference
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• 2009.12a
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• pp.810-812
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• 2009

정보의 양이 기하급수적으로 증가함에 따라, 그 정보들을 효과적으로 제공하기 위해 검색 기술들이 개발 되었다. 현대 검색 기술은 단순 텍스트 매칭 기반으로 사용자의 의도와는 상관없는 정보까지 검색하는 경우가 많아서, 실제로 원하는 정보를 찾는데 많은 시간과 노력을 요구한다. 이런 단점들을 극복하고자 사용자의 검색 의도를 고려한 검색 기술들이 개발되었다. 검색 의도를 획득하는 방법에는 자동적인 방법과 수동적인 방법, 그리고 반자동적인 방법이 있다. 자동적인 방법은 사람이 아닌 컴퓨터를 통해서 획득이 이루어지기 때문에 사용자의 의도를 완벽히 반영하는 것이 어렵다. 수동적인 방법은 사람이 직접 참여하여 작성하기 때문에 사용자의 의도를 반영할 수 있지만, 시간과 비용이 많이 드는 단점이 있다. 반자동적인 방법은 위의 두 가지 단점을 보완할 수 있다. 본 논문에서는 반자동적인 방법인 목적을 가진 게임을 이용한 사용자의 검색 의도 획득 시스템을 사용한다. 이 후에 시스템에서 도입한 Game With A Purpose(GWAP)의 개념과 시스템의 구성, 그리고 발전방향 및 결론을 논의한다.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.10 no.3
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• pp.67-75
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• 1990

A geometrically nonlinear analysis procedure including the damping effects is presented for the investigation of the dynamic post-divergence and post-flutter behavior of a non-conservative system. The dynamic nonlinear analysis of plane frame structure subjected to conservative and non-conservative forces is carried out by solving the equations of motion using Newmark method. Numerical results are presented to demonstrate the effects of the internal and external damping forces in the conservative and non-conservative systems.

• Computational Structural Engineering
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• v.9 no.3
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• pp.187-197
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• 1996

An explicit direct time integration method based solution algorithm is presented to predict dynamic buckling response of Euler column. On the basis of large deflection beam theory, a plane frame finite element is formulated and implemented into the solution algorithm. The element formulation takes into account geometrical nonlinearity and overall buckling of steel structural frames. The solution algorithm employs the central difference method. Using the computer program developed by the author, dynamic instability behavior of Euler column under impact loading is investigated by considering the time variation of load, load magnitude, and load duration. The free vibration of Euler column caused by a short duration impact load is also studied. The validity and efficiency of the present formulation and solution algorithm are verified through illustrative numerical examples.

• Journal of the Earthquake Engineering Society of Korea
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• v.5 no.1
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• pp.31-36
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• 2001

본 논문에서는 지점근처에 납-전단 댐퍼(LSD)가 설치된 케이블의 동적 거동에 대해 다루었다. 이러한 동적 거동에 대한 파악은 케이블의 진동 감소 목적으로 댐퍼를 설계하는 경우 중요한 절차중 하나이다. 납-전단 댐퍼와 같은 이력형 댐퍼의 실제 이력곡선에 기초하여 본 연구에서는 납-전단 댐퍼의 이력곡선을 완전 탄소성으로 가정하였다. 납-전단 댐퍼의 역학적 모델은 등가 켈빈 모델을 사용하였으며 케이블의 새그 효과를 고려하였다. 납- 전단 댐퍼의 용량이라고 할 수 있는 항복력을 설계변수로 선택하고 케이블에 최적의 감쇠효과를 부여하는 동적학적 관계에 대해 연구하였다. 또한 댐퍼가 케이블에 설치되는 지점과 케이블의 장력에 대한 댐퍼의 감쇠효과에 대해서도 연구하였다. 매개변수 해석결과 케이블의 기하학적 형상 및 댐퍼의 설치조건에 따라 납-전단 댐퍼가 케이블에 부가하는 감쇠의 크기가 변함을 알 수 있었으며, 이때 최대의 감쇠성능을 발휘하는 최적 항복력이 존재하는 것을 알았다.

• Journal of Korean Society of Steel Construction
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• v.24 no.3
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• pp.289-299
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• 2012

The goal of this paper is to apply the multi-step Taylor method to a space truss, a non-linear discrete dynamic system, and analyze the non-linear dynamic response and unstable behavior of the structures. The accurate solution based on an analytical approach is needed to deal with the inverse problem, or the dynamic instability of a space truss, because the governing equation has geometrical non-linearity. Therefore, the governing motion equations of the space truss were formulated by considering non-linearity, where an accurate analytical solution could be obtained using the Taylor method. To verify the accuracy of the applied method, an SDOF model was adopted, and the analysis using the Taylor method was compared with the result of the 4th order Runge-Kutta method. Moreover, the dynamic instability and buckling characteristics of the adopted model under step excitation was investigated. The result of the comparison between the two methods of analysis was well matched, and the investigation shows that the dynamic response and the attractors in the phase space can also delineate dynamic snapping under step excitation, and damping affects the displacement of the truss. The analysis shows that dynamic buckling occurs at approximately 77% and 83% of the static buckling in the undamped and damped systems, respectively.

• Journal of Korean Society of Steel Construction
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• v.13 no.5
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• pp.599-608
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• 2001

Many papers which deal with the dynamic instability of shell-like structures under the STEP load has been published but there have been few papers related to the dynamic instability of hybrid cable domes. And also there are a few researches which treat the essential phenomenon of the dynamic buckling using the phase for investigating occurrence of chaos. In this study the indirect buckling of hybrid cable domes considering geometric nonlinearity are investigated numerically and compared it with the static critical load The dynamic critical loads are determined by the numerical integration of the geometric nonlinear equation of motion and the mechanism of the indirect buckling is examined by using the phase curves.

• Journal of KIISE:Software and Applications
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• v.27 no.4
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• pp.412-421
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• 2000

In spite that the main contents of mathematical and scientific learning are understanding principles and their applications, most of existing educational softwares are based on rote learning, thus resulting in limited educational effects. In the artificial intelligence research, some progress has been made in developing automatic tutors based on proving and simulation, by adapting the techniques of knowledge representation, search and inference to the design of tutors. However, these tutors still fall short of being practical and the turor, even a prototype model, for learning problem solving is yet to come out. The geometry problem-solving tutor proposed by this research involves dynamic inference performed in parallel with learning. As an ontology for composing the problem space within a real-time setting, we have employed the notions of propositions, hypotheses and operators. Then we investigated the mechanism of interactive learning of problem solving in which the main target of inference involves the generation and the test of these components. Major accomplishment from this research is a practical model of a problem tutor embedded with a series of inference techniques for algebraic manipulation, which is indispensable in geometry problem solving but overlooked by previous research. The proposed model is expected to be applicable to the design of problem tutors in other scientific areas such as physics and electric circuitry.

• Journal of the Earthquake Engineering Society of Korea
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• v.3 no.4
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• pp.71-82
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• 1999

An axisymmetric shell element which includes the effects of the meridional and circumferential cable prestresses is developed. The fluid-structure interaction is expressed as added mass effect which is in proportion to the acceleration of the structure in interface surface. The added mass is obtained by using finite element method under the assumption that the fluid is invicid, incompressible and irrotational. It is coded for personal computer by the maximum use of axisymmetic properties and the dynamic analysis are performed under seismic exitations. A ring element makes the characteristics of the axisymmetric shell to be fully utilized. The elgenvalue solutons under the initial prestresses and the internal fluid are well agreed with the exact solutions and references by using under 20 elements. The eigenvalues are decreased along the increasing the height of internal fluid and these effects are dominant under the lower wave numbers. The results of the seismic analysis show that the radial deflection under the meridional prestress is a little larger than that under the circumferential prestress.

• School Mathematics
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• v.11 no.1
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• pp.131-145
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• 2009

This research was designed to investigate the possibility to teach function concept and graph representation of functions in explicit manner toward at elementary level. Eight class-hours instruction was given to four Grade 5(age 11) students, and dynamic geometry software GSP was partially used in the class. Results indicate that the students could conceptualize the function relation, interpret linear function graphs, recognize the meaning of their slopes, and discuss the relationships among linear graphs and real life situation. Results also indicate that GSP helped students to recognize the relation between dots and the linear graph clearly and that GSP-line graph did decisive role for children to understand the meaning of graph representation of function.