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대칭 조건을 갖는 2-자유절점 공간 트러스의 평형점과 안정성
하준홍,손수덕,이승재,황경주 한국공간구조학회 2019 한국공간구조학회지 Vol.19 No.4
A stadium roof that uses the pin-jointed spatial truss system has to be designed by taking into account the unstable phenomenon due to the geometrical non-linearity of the long span. This phenomenon is mainly studied in the single-free-node model (SFN) or double-free-node model (DFN). Unlike the simple SFN model, the more complex DFN model has a higher order of characteristic equations, making analysis of the system’s stability complicated. However, various symmetric conditions can allow limited analysis of these problems. Thus, this research looks at the stability of the DFN model which is assumed to be symmetric in shape, and its load and equilibrium state. Its governing system is expressed by nonlinear differential equations to show the double Duffing effect. To investigate the dynamic behavior and characteristics, we normalize the system of the model in terms of space and time. The equilibrium points of the system unloaded or symmetrically loaded are calculated exactly. Furthermore, the stability of these points via the roots of the characteristic equation of a Jacobian matrix are classified.
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Optimal parameters for a damped sine-Gordon equation
하준홍,Semion Gutman 대한수학회 2009 대한수학회지 Vol.46 No.5
In this paper a parameter identification problem for a damped sine-Gordon equation is studied from the theoretical and numerical perspectives. A spectral method is developed for the solution of the state and the adjoint equations. The Powell's minimization method is used for the numerical parameter identification. The necessary conditions for the optimization problem are shown to yield the bang-bang control law. Numerical results are discussed and the applicability of the necessary conditions is examined. In this paper a parameter identification problem for a damped sine-Gordon equation is studied from the theoretical and numerical perspectives. A spectral method is developed for the solution of the state and the adjoint equations. The Powell's minimization method is used for the numerical parameter identification. The necessary conditions for the optimization problem are shown to yield the bang-bang control law. Numerical results are discussed and the applicability of the necessary conditions is examined.
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Identification of constant parameters in perturbed sine-Gordon equations
하준홍,Shin-ichi Nakagiri 대한수학회 2006 대한수학회지 Vol.43 No.5
We study the identification problems of constant parametersappearing in the perturbed sine-Gordon equation with the Neumannboundary condition. The existence of optimal parameters is proved,and necessary conditions are established for several types ofobservations by utilizing quadratic optimal control theory due toLions [ref{Lions:op}].
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Riccati equation in quadratic optimal control problem of damped second order system
하준홍,Shin-ichi Nakagiri 대한수학회 2013 대한수학회지 Vol.50 No.1
This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class of the second order distributed systems with arbitrary damping terms.
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하준홍 대한양계협회 1982 월간 양계 Vol.14 No.10
정부 '88년 서울 올림픽 개최를 앞두고 식품가공산업을 적극 육성 개발하고 있다. 국제적으로 대중화가 가능하고, 국내에서 식품으로서의 정착화가 가능한, 외국인 들에게는 고유한 우리 식품의 소개를 목적으로 농어촌개발공사 식품연구소에서는 축산제품 등 새로운 제품개발에 몰두하고 있으나 그중 양계산물의 연구는 극히 미약한 것으로 알려지고 있다.
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실천공학교육 관련 : Pseudo-STEM에 기초한 미분방정식 교육
하준홍 ( Jun Hong Ha ),심재동 ( Jae Dong Shim ) 한국실천공학교육학회 2013 실천공학교육논문지 Vol.5 No.2
본 연구에서는 학생중심의 수학 및 과학 교육법으로 화제가 되고 있는 STEM교육의 유래와 STEM 교육을 대학교육에 부분적으로 적용하고 있는 Hands-on교육과 일본대학의 수리공교육의 사례를 조사한다. STEM교육은 학생들이 기술과 공학의 문제에서 수학의 필요성을 자각하도록 하고, 더 나아가 수학교과에 대한 수동적 학습태도를 능동적으로 바꾸는데 적합한 방법으로 부상되고 있지만, S(과학), T(기술), E(공학), M(수학)의 물리적 융합이 아닌 화학적 융합으로써 현행 대학 교과과정에 바로 적용하기에는 다소 무리한 측면이 있다. 따라서 실제 프로젝트에서 고려되어야 하는 T와 E를 졸업작품에서 스스로 찾도록 하고, 이 자발적인 발견을 수학교과목과 연계하는 Pseudo-STEM교육법을 제안한다. In this paper we investigate the history of the education based on STEM which is one of the topics of teaching method of Mathematics and Science oriented to the student, Hand-on education be applying partly to college education and the case of the education of the subject “Mathematics and Science for Engineering” of Japan`s college. The educational method based on STEM make the student to recognize by themselves the necessity of the mathematics in the study of the technological and engineering problem, and furthermore draw a conclusion which is the proper method to change from passive to positive the study attitude for the mathematics. But it is more or less unreasonable to apply directly to college education with not physical fusion but chemical fusion of S (science), T (technology), E (engineering) and M (mathematics). Therefore we make themselves to find T and E considered at graduation works. We propose Pseudo-STEM teaching method linking this recognition obtained through self-activity to the mathematics subject.
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실천공학 교수법 : 함수의 그래프를 이용한 형상의 윤곽 그리기
하준홍 ( Jun Hong Ha ) 한국실천공학교육학회 2010 실천공학교육논문지 Vol.2 No.2
함수와 그 그래프는 수학교육에서 매우 중요한 개념이다. 그러나 함수의 개념에 대한 이해 없이 학습을 하거나 또는 함수에 대한 흥미 없이 함수를 학습을 하는 학생들이 많이 있다. 본 연구에서는 함수와 그 그래프의 개념을 일상에서 볼 수 있는 다양한 형상 속에서 찾아보고, 형상과 함수의 그래프를 매칭하는 학습방법을 제시한다. 즉, 형상의 윤곽을 함수의 그래프로 생각하고, 그 그래프를 생성하는 함수를 추정하여 그래픽 기능이 내장된 계산기의 스크린에 함수의 그래프를 그리는 학습방법을 제시한다. The functions and their graphs are very important parts in mathematical educations. But there seems be a lot of students studying the functions and their graphs without grasping the meaning of them and without interest with them. We present a learning method of how to match functions and their graphs with outlines of various shapes. That is, outlines of the shapes are assumed to be the graphs of the functions and the graphs will be plotted on the screen of a computer with help of the computer algebra system.
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하준홍(Ha, Jun-Hong),손수덕(Shon, Su-Deok),이승재(Lee, Seung-Jae) 대한건축학회 2016 大韓建築學會論文集 : 構造系 Vol.32 No.7
In this study, the dynamic unstable phenomenon and critical load variation of the spatial truss under the beating-wave load were researched. For this purpose, a non-linear governing equation of a shallow spatial truss was derived. In addition, a dynamic analysis and a characteristic analysis of the buckling phenomenon were conducted using the numerical method. The analysis model was selected considering the number of free nodes and the rise-span ratio, and the response to the periodic parameter that determines the period of the beating function was analyzed. To compare the results, a analysis for the step load and sinusoidal—wave load were also conducted. Resonance was observed in the analysis results for both the sinusoidal-wave load and the beating-wave load. The patterns of critical load level were similar in the area lower than the natural frequency, but they were different in the area above it. Furthermore, the critical level of the beating-wave load changed more sensitively than the sinusoidal-wave load did and was much lower than the step load.
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