• 제목/요약/키워드: closed form

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CBT를 이용한 고체 추진제의 연소효율 도출 방법과 그레인 형상의 영향 분석 (Combustion Efficiency Estimation Method of Solid Propellants and the Effects of Grain Shape using Closed Bomb Test)

  • 박종근;성홍계;이원민;김은미
    • 한국추진공학회지
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    • 제26권6호
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    • pp.53-61
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    • 2022
  • 본 연구에서는 CBT(Closed Bomb Test)시험을 통하여 고체추진제의 연소효율을 추정하는 방법을 제시하였다. CBT는 수백 기압에서 작동하므로 실기체의 영향을 고려하기 위해 Noble-Abel 상태방정식을 적용하였다. 또한 밀폐용기 벽면으로 발생하는 열손실을 고려하였다. 그레인의 연소로 인한 그레인의 체적 변화율 계산은 형상 함수(Form Function)를 적용하였으며, 총 8개의 다른 형태 그레인의 연소 효율을 도출하였다. 본 연구에서 제시한 이론모델의 적절성을 실험 결과인 압력-시간 선도와 비교하여 나타내었다. 그레인 형상과 추진제의 충진량에 따른 연소효율을 도출하였다.

쿨롱마찰을 갖는 단자유도계의 자유진동응답에 관한 닫힌 해 (Closed-Form Solutions to Free Vibration Response of Single Degree of Freedom Systems with Coulomb Friction)

  • 이성경
    • 한국전산구조공학회논문집
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    • 제33권1호
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    • pp.9-16
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    • 2020
  • 본 연구는 쿨롱마찰을 갖는 동적시스템의 기초적인 연구로써 단자유도계의 자유진동응답에 대한 닫힌 해를 제공하는 것을 목적으로 한다. 쿨롱마찰을 포함하는 동적시스템의 운동방정식은 운동방향에 따른 마찰력의 부호변화로 인하여 비선형 미분방정식의 형태로 표현되기 때문에 닫힌 형태의 해를 얻기가 매우 어려운 특성이 있다. 이를 해결하기 위한 기존의 방법으로는 수치적분법에 의해 비선형 미분방정식을 직접 계산하거나 또는, 쿨롱마찰에 의한 감쇠효과를 등가점성감쇠로 치환한 선형 미분방정식을 이용하여 간접적으로 해를 구하는 방법이 사용되고 있다. 그러나 이러한 방법들은 수학적인 측면에서 닫힌 해를 제공하지 않는다. 따라서 본 연구에서는 운동방정식에서 반주기 구간마다 반전되는 마찰력의 부호변화를 고려하고, 이를 멱급수를 이용하여 전 구간으로 확장시킴으로써 쿨롱마찰을 고려한 단자유도계의 자유진동응답에 대해서 수학적으로 닫힌 해를 유도하였다. 또한, 마찰력의 크기가 강성에 의한 복원력의 크기보다 커지는 순간에 자유진동 운동이 정지하는 조건을 이용함으로써 주어진 초기조건에 대해서 예측되는 자유진동 반주기의 수와 운동이 정지하는 순간의 정확한 응답 값을 제안하였다

근사적인 해석법에 의한 근입된 벽체의 극한지지력 평가 (Assessment of Ultimate Bearing Capacity for an Embedded Wall by Closed-Form Analytical Solution)

  • 이용주
    • 한국지반공학회논문집
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    • 제22권9호
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    • pp.23-36
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    • 2006
  • 본 연구는 사질토 지반에 근입되어 있는 벽체의 극한지지력을 구하기 위해 새로운 근사적인 해석법의 전개과정에 대해 설명한다. 이러한 근사적인 형태의 해석기법은 상계 및 하계법으로 구성되어 있다. 상 하계법으로 계산된 값은 소성영역에서 구해진 2차원 실내벽체모형의 하중재하시험 및 유한요소해석 결과와 비교하였다. 비교 결과, 모형실험과 유한요소해석으로부터 구한 극한하중 값은 상계와 하계 사이에 모두 분포하는 것으로 나타났다. 이러한 비교에서 특이 할 사항은 하계법으로 구한 벽체의 극한하중이 모형실험 및 유한요소해석에서 구한 극한하중과 잘 일치되는 것을 보여 주었다. 그러나, 평면변형률 조건에서 기존의 경험적인 식에 의한 계산에서 얻어진 극한하중은 하계법의 극한하중에 훨씬 못 미치는 것으로 나타났다.

[캠퍼스 공간설계 유형에 따른 이용자의 지각반응특성에 관한 연구-안전지각과 시각선호에 대한 비교 분석- (User's responses to the type of campus layouts -Based on perceived safety and landscape visual preferences-)

  • 엄붕훈;한성미
    • 한국조경학회지
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    • 제25권2호
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    • pp.104.1-104.1
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    • 1997
  • The purpose of this study is to grasp the characteristics of user''''s response to perceived safety and visual preferences for outdoor green spaces by the types of campus layouts. This research was investigated by color slide ratings and questionnaire survey to the students who are majoring in Landscape architecture in three universities locating at Taegu area. Two research sites have similarities in many ways but have differences in campus land form and design type such as ''''Closed'''' and ''''Open'''' types. Major results were summarised as follows ; 1. As a result of the slide test, the high degree of visual preference was shown in the campus that is ''''Closed'''' type. However the degree of perceived safety was lower than that of in Youngnam Univ. campus. 2. According to the result of the comparative analysis between user''''s perceived safety and visual preferences in each campus, the degree of perceived safety at ''''Closed'''' type was lower than that of ''''Open'''' type, but the degree of visual satisfactioni was higher at ''''Closed'''' type. 3. The factors affecting visual preference in campus were shown as density of wood, land form, and diverse type of the spaces. On the other hand, the factors affecting perceived safety were ''''enclosed space by wood'''' at the day time, and ''''the condition of lighting'''' at night. 4. Regarding gender differences in sensation of each space variables, female users showed higher satisfactio on the scenic beauty. 5. Regression analysis showed that general satisfation was determined by the variables such as ''''arrangement'''', familiarity'''', ''''cleanness'''', and ''''closed feeling'''', in Kyungbook Univ. And in Youngnam Univ. , the variables were ''''texture'''', ''''perceived beauty'''', ''''cleanness'''', and ''''complexity'''' respectively. 6. In conclusion, campus users wanted the outdoor spaces that have various land form and somewhat ''''open-closed'''' mixture type, which has a good ''''Edge Effect'''' to satisfy both aspects in safety and visual preferneces.

"캠퍼스" 공간설계 유형에 따른 이용자의 지각반응특성에 관한 연구-안전지각과 시각선호에 대한 비교 분석- (User's responses to the type of campus layouts -Based on perceived safety and landscape visual preferences-)

  • 엄붕훈;한성미
    • 한국조경학회지
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    • 제25권2호
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    • pp.104-116
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    • 1997
  • The purpose of this study is to grasp the characteristics of user's response to perceived safety and visual preferences for outdoor green spaces by the types of campus layouts. This research was investigated by color slide ratings and questionnaire survey to the students who are majoring in Landscape architecture in three universities locating at Taegu area. Two research sites have similarities in many ways but have differences in campus land form and design type such as 'Closed' and 'Open' types. Major results were summarised as follows ; 1. As a result of the slide test, the high degree of visual preference was shown in the campus that is 'Closed' type. However the degree of perceived safety was lower than that of in Youngnam Univ. campus. 2. According to the result of the comparative analysis between user's perceived safety and visual preferences in each campus, the degree of perceived safety at 'Closed' type was lower than that of 'Open' type, but the degree of visual satisfactioni was higher at 'Closed' type. 3. The factors affecting visual preference in campus were shown as density of wood, land form, and diverse type of the spaces. On the other hand, the factors affecting perceived safety were 'enclosed space by wood' at the day time, and 'the condition of lighting' at night. 4. Regarding gender differences in sensation of each space variables, female users showed higher satisfactio on the scenic beauty. 5. Regression analysis showed that general satisfation was determined by the variables such as 'arrangement', familiarity', 'cleanness', and 'closed feeling', in Kyungbook Univ. And in Youngnam Univ. , the variables were 'texture', 'perceived beauty', 'cleanness', and 'complexity' respectively. 6. In conclusion, campus users wanted the outdoor spaces that have various land form and somewhat 'open-closed' mixture type, which has a good 'Edge Effect' to satisfy both aspects in safety and visual preferneces.

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초정밀 자유곡면 가공용 long stroke fast tool servo의 설계 및 특성 평가 (Design and Testing of a Long Stroke Fast Tool Servo for Ultra-precision Free-form Machining)

  • 김호상;이광일
    • 한국정밀공학회지
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    • 제26권2호
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    • pp.35-44
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    • 2009
  • Long stroke Fast Tool Servo (LFTS) with maximum stroke of $432{\mu}m$ is designed, manufactured and tested for fabrication of optical free-form surfaces. The large amount of stroke in LFTS has been realized by utilizing the hinge and lever mechanisms which enable the displacement amplification ratio of 4.3. In this mechanism the peculiar shape was devised for maximizing the displacement of end tip in LFTS and special mechanical spring has been mounted to provide the sufficient preload to the piezoelectric actuator. Also, its longitudinal motion of tool tip can be measured by capacitive type displacement sensor and closed-loop controlled to overcome the nonlinear hysteresis. In order to verify the static and dynamic characteristics of designed LFTS, several features including step response, frequency response and cut-off frequency in closed-loop mode were experimentally examined. Also, basic machining result shows that the proposed LFTS is capable of generating the optical free-form surface as an additional axis in diamond turning machine.

표면에 수직한 계면방향 표면균열의 해석 (Analysis of Interfacial Surface Crack Perpendicular to the Surface)

  • 최성렬
    • 대한기계학회논문집
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    • 제17권2호
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    • pp.277-284
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    • 1993
  • 본 연구에서는 적분변환에 의한 해법을 사용하여 폐형으로 주어지는 엄밀해를 얻었다. 먼저 평면에 수직한 방향의 변위를 도입하여 주어진 문제를 Mellin 변환하 고 수식화 하면 Wiener-Hopf 방정식이 주어진다.이 방정식을 푼 다음 변위에 관한 적분 표현식을 점근(asymptotic)전개하여 평가하면 균열선단 부근의 변위가 결정된다. 이로부터 폐형(closed form)으로 구성되는 균열선단부근의 응력확대계수(stress in- tensity factor)를 얻었다. 이 결과를 가지고 특정한 경우에 해당되는 기존의 연구 결과와 비교하였다. 특별히 가해진 하중이 자기평형(self equilibrium)을 이루는 경 우에 한정하여 계면에 인접한 재료의 결과와 동일함을 무한고체물에 대한 해석에서 보 인 바 있는데, 이와같은 정성적인 결과가 본문제와 같이 계면방향 표면균열을 지니는 반무한 크기의 고체물에서도 유지되는가를 검토하였다. 아울러 본 연구와 동일한 모 양의 균열이라면 고체물표면 혹은 균열면에 임의로 분포하는 비평면하중문제에 대한 응력확대계수는 본 연구의 결과를 가지고 간단한 적분을 수행함으로써 용이하게 계산 됨을 보였다.

Effective technique to analyze transmission line conductors under high intensity winds

  • Aboshosha, Haitham;El Damatty, Ashraf
    • Wind and Structures
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    • 제18권3호
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    • pp.235-252
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    • 2014
  • An effective numerical technique to calculate the reactions of a multi-spanned transmission line conductor system, under arbitrary loads varying along the spans, is developed. Such variable loads are generated by High Intensity Wind (HIW) events in the form of tornadoes and downburst. First, a semi-closed form solution is derived to obtain the displacements and the reactions at the ends of each conductor span. The solution accounts for the nonlinearity of the system and the flexibility of the insulators. Second, a numerical scheme to solve the derived closed-form solution is proposed. Two conductor systems are analyzed under loads resulting from HIW events for validation of the proposed technique. Non-linear Finite Element Analyses (FEA) are also conducted for the same two systems. The responses resulting from the technique are shown to be in a very good agreement with those resulting from the FEA, which confirms the technique accuracy. Meanwhile, the semi-closed form technique shows superior efficiency in terms of the required computational time. The saving in computational time has a great advantage in predicting the response of the conductors under HIW events, since this requires a large number of analyses to cover different potential locations and sizes of those localized events.

펄트루젼 I형 단면 압축재의 국부좌굴계수 계산을 위한 근사식의 개발 (An Approximate Solution for the Local Buckling Coefficient of Pultruded I-Shape Compression Members)

  • 주형중;정재호;이승식;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.223-227
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    • 2004
  • The pultruded structural shapes are usually composed of thin-walled plate elements. Because the composite material has relatively low elastic moduli, the design of pultruded compression members may not be governed by the material strength limit state but by the stability limit state such as the local buckling or the global buckling. Therefore, the stability limit state must be checked to design pultruded columns. In this research, the local buckling analysis of pultruded I-shape column was conducted for various composite materials using the closed-form solution. To establish the design guidelines for the local buckling of pultruded I-shape compression members, the simplified form of equation to find the local buckling coefficient of pultruded I-shape column was proposed as a function of mechanical properties and the width ratio of plate components using the results obtainde by the closed-form solution. In order to verify the validity of proposed solution, the results obtained by the proposed approximate solution were compared with those of the closed-form solution and the experimental results.

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PRICING OF QUANTO CHAINED OPTIONS

  • Kim, Geonwoo
    • 대한수학회논문집
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    • 제31권1호
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    • pp.199-207
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    • 2016
  • A chained option is a barrier option activated in the event that the underlying asset price crosses barrier or barriers prior to maturity in a specified order. In this paper, we study the pricing of chained options with the quanto property called the "Quanto chained option". A quanto chained option is a chained option starting at time when the foreign exchange rate has the multiple crossing of specified barriers. We provide closed-form formulas for valuing the quanto chained options based on probabilistic approach.