• 제목/요약/키워드: lagrange

검색결과 836건 처리시간 0.023초

하중경계조건의 변화에 대한 선형탄성문제의 민감도 해석 (Sensitivity Analysis of Linear Elastic Problem due to Variations of the Traction Boundary Conditions)

  • 이태원
    • 대한기계학회논문집
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    • 제15권6호
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    • pp.1852-1860
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    • 1991
  • 본 연구에서는 연구대상을 주어진 구조물 형상에서 경계조건의 변화에 따른 현상 설계민감도, 특히 하중경계조건의 변화에 따른 구조물의 변형에 주안점을 두었다. 이 연구결과는 가공물의 지지위치에 따른 가공면의 변형정도 향상 및 접촉문제 해석등 에 응용이 가능하다. 유도된 민감도가 정확함을 입증하기 위하여 예제로서 하중경계 조건의 변화에 따른 범함수로 정의된 변형의 변화량을 예측하는 문제를 선정하였다.

Earth Albedo perturbations on Low Earth Orbit Cubesats

  • Khalifa, N.S.;Sharaf-Eldin, T.E.
    • International Journal of Aeronautical and Space Sciences
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    • 제14권2호
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    • pp.193-199
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    • 2013
  • This work investigates the orbital perturbations of the cubesats that lie on LEO due to Earth albedo. The motivation for this paper originated in the investigation of the orbital perturbations for closed- Earth pico-satellites due to the sunlight reflected by the Earth (the albedo). Having assumed that the Sun lies on the equator, the albedo irradiance is calculated using a numerical model in which irradiance depends on the geographical latitude, longitude and altitude of the satellite. However, in the present work the longitude dependency is disregarded. Albedo force and acceleration components are formulated using a detailed model in a geocentric equatorial system in which the Earth is an oblate spheroid. Lagrange planetary equations in its Gaussian form are used to analyze the orbital changes when $e{\neq}0$ and $i{\neq}0$. Based on the Earth's reflectivity data measured by NASA Total Ozone Mapping Spectrometer (TOMS project), the orbital perturbations are calculated for some cubesats. The outcome of the numerical test shows that the albedo force has a significant contribution on the orbital perturbations of the pico-satellite which can affect the satellite life time.

이상 유동에서의 유체-구조 연성해석을 위한 Direct Forcing/Ficititious Domain-Level Set Method (Direct forcing/fictitious domain-Level set method for two-phase flow-structure interaction)

  • 전충호;윤현식;정재환
    • 한국해양공학회지
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    • 제25권4호
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    • pp.36-41
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    • 2011
  • In the present paper, a direct forcing/fictitious domain (DF/FD) level set method is proposed to simulate the FSI (fluid-solid interaction) in two-phase flow. The main idea is to combine the direct-forcing/fictitious domain (DF/FD) method with the level set method in the Cartesian coordinates. The DF/FD method is a non-Lagrange-multiplier version of a distributed Lagrange multiplier/fictitious domain (DLM/FD) method. This method does not sacrifice the accuracy and robustness by employing a discrete ${\delta}$ (Dirac delta) function to transfer quantities between the Eulerian nodes and Lagrangian points explicitly as the immersed boundary method. The advantages of this approach are the simple concept, easy implementation, and utilization of the original governing equation without modification. Simulations of various water-entry problems have been conducted to validate the capability and accuracy of the present method in solving the FSI in two-phase flow. Consequently, the present results are found to be in good agreement with those of previous studies.

동적계획법을 이용한 발전기의 운전모드 및 최적부하 배분에 관한 연구 (A Study on Optimal Electric Load Distribution and Generator Operating Mode Using Dynamic Programming)

  • H-H Yoo
    • Journal of Advanced Marine Engineering and Technology
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    • 제26권3호
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    • pp.313-319
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    • 2002
  • Since the oil crisis in 1970, a great deal of effort has been made to develop automatic electric load sharing systems as a part of the efforts to save energy. A large scale electric generating system composes more than two generators whose characteristics may be different. When such a system is operated individually or in parallel, the lagrange multiplier's method has difficulty in achieving optimal load distribution because generators usually have the limitations of the operating range with inequality constraints. Therefore, a suitable operating mode of generators has to be decided according to the selection of the generators to meet electric power requirements at the minimum cost. In this study, a method which solves the optimal electric load distribution problem using the dynamic programming technique is proposed. This study also shows that the dynamic programming method has an advantage in dealing with the optimal load distribution problem under the limitations of the operating range with inequality constraints including generator operation mode. In this study, generator operating cost curve of second order equation by shop trial test results of diesel generators are used. The results indicate that the proposed method can be applied to the ship's electric generating system.

SPH 기법을 이용한 Rock-berm의 앵커 충돌 수치 시뮬레이션 (Anchor Collision Simulation of Rock-berm using SPH Technique)

  • 우진호;나원배;유정석
    • 한국해안·해양공학회논문집
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    • 제26권1호
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    • pp.9-15
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    • 2014
  • 암석과 같은 입자들로 구성된 구조체의 거동을 일반적인 요소망을 이용한 유한요소해석으로 구현하기 어렵다. 이는 입자로 구성된 구조체의 거동 해석시 입자간의 상호작용을 무시할 수 없기 때문이다. 본 연구에서는 입자로 구성된 구조체(rock-berm)의 분할에 Smooth Particle Hydrodynamics (SPH) 기법을 이용하여 충돌해석을 수행하고 이를 기존의 Lagrange 기법을 사용한 해석결과와 비교하여 SPH 기법의 적용 가능성을 알아보았다. 결과적으로 SPH 기법이 입자로 구성된 구조체의 충돌해석에 사실적인 모사가 가능한 것으로 파악되었다.

Development of optimum design curves for reinforced concrete beams based on the INBR9

  • Habibi, Alireza;Ghawami, Fouad;Shahidzadeh, Mohammad S.
    • Computers and Concrete
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    • 제18권5호
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    • pp.983-998
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    • 2016
  • Structural optimization is one of the most important topics in structural engineering and has a wide range of applicability. Therefore, the main objective of the present study is to apply the Lagrange Multiplier Method (LMM) for minimum cost design of singly and doubly reinforced rectangular concrete beams. Concrete and steel material costs are used as objective cost function to be minimized in this study, and ultimate flexural strength of the beam is considered to be as the main constraint. The ultimate limit state method with partial material strength factors and equivalent concrete stress block is used to derive general relations for flexural strength of RC beam and empirical coefficients are taken from topic 9 of the Iranian National Building Regulation (INBR9). Optimum designs are obtained by using the LMM and are presented in closed form solutions. Graphical representation of solutions are presented and it is shown that proposed design curves can be used for minimum cost design of the beams without prior knowledge of optimization and without the need for iterative trials. The applicability of the proposed relations and curves are demonstrated through two real life examples of SRB and DRB design situations and it is shown that the minimum cost design is actually reached using proposed method.

Wave dispersion characteristics of nonlocal strain gradient double-layered graphene sheets in hygro-thermal environments

  • Ebrahimi, Farzad;Dabbagh, Ali
    • Structural Engineering and Mechanics
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    • 제65권6호
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    • pp.645-656
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    • 2018
  • Importance of procuring adequate knowledge about the mechanical behavior of double-layered graphene sheets (DLGSs) incensed the authors to investigate wave propagation responses of mentioned element while rested on a visco-Pasternak medium under hygro-thermal loading. A nonlocal strain gradient theory (NSGT) is exploited to present a more reliable size-dependent mechanical analysis by capturing both softening and hardening effects of small scale. Furthermore, in the framework of a classical plate theory the kinematic relations are developed. Incorporating kinematic relations with the definition of Hamilton's principle, the Euler-Lagrange equations of each of the layers are derived separately. Afterwards, combining Euler-Lagrange equations with those of the NSGT the nonlocal governing equations are written in terms of displacement fields. Interaction of the each of the graphene sheets with another one is regarded by the means of vdW model. Then, a widespread analytical solution is employed to solve the derived equations and obtain wave frequency values. Subsequently, influence of each participant variable containing nonlocal parameter, length scale parameter, foundation parameters, temperature gradient and moisture concentration is studied by plotting various figures.

Nonlinear flexural analysis of laminated composite flat panel under hygro-thermo-mechanical loading

  • Kar, Vishesh R.;Mahapatra, Trupti R.;Panda, Subrata K.
    • Steel and Composite Structures
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    • 제19권4호
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    • pp.1011-1033
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    • 2015
  • In this article, large amplitude bending behaviour of laminated composite flat panel under combined effect of moisture, temperature and mechanical loading is investigated. The laminated composite panel model has been developed mathematically by introducing the geometrical nonlinearity in Green-Lagrange sense in the framework of higher-order shear deformation theory. The present study includes the degraded composite material properties at elevated temperature and moisture concentration. In order to achieve any general case, all the nonlinear higher order terms have been included in the present formulation and the material property variations are introduced through the micromechanical model. The nonlinear governing equation is obtained using the variational principle and discretised using finite element steps. The convergence behaviour of the present numerical model has been checked. The present proposed model has been validated by comparing the responses with those available published results. Some new numerical examples have been solved to show the effect of various parameters on the bending behaviour of laminated composite flat panel under hygro-thermo-mechanical loading.

액적변동을 고려한 액체로켓의 연소실 내 비정상 분무연소 해석 (Spray Combustion Analysis for Unsteady State in Combustion Chamber of Liquid Rocket Engine Considering Droplet Fluctuation)

  • 정대권;노태성
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2006년도 제27회 추계학술대회논문집
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    • pp.175-178
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    • 2006
  • 인젝터의 특성을 고려한 분무연소 현상을 해석하기 위하여 연소실에 주입되는 연료와 산화제의 액적에 변동을 가해 연소실내 분무연소 현상을 수치적으로 해석하였다. 2차원 비정상 상태의 유동장을 QUICK Scheme과 SIMPLER Algorithm을 사용하여 계산하였고, 분무모델로는 DSF 모델과 Euler-Lagrange방법을 사용하였다. 연료와 산화제의 액적 변동은 사인 함수를 이용하여 모델링 하였고, 액적과 가스상의 커플효과와 가스상과 증발된 기체상의 커플효과는 PSIC 모델을 사용하여 계산하였다.

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기상요소가 식량작물 생산량에 미치는 영향: 패널자료를 활용한 회귀분석 (Effects of Meteorological Elements in the Production of Food Crops: Focused on Regression Analysis using Panel Data)

  • 이중우;장영재;고광근;박종길
    • 한국환경과학회지
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    • 제22권9호
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    • pp.1171-1180
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    • 2013
  • Recent climate change has led to fluctuations in agricultural production, and as a result national food supply has become an important strategic factor in economic policy. As such, in this study, panel data was collected to analyze the effects of seven meteorological elements and using the Lagrange multipliers method, the fixed-effects model for the production of five types of food crop and the seven meteorological elements were analyzed. Results showed that the key factors effecting increases in production of rice grains were average temperature, average relative humidity and average ground surface temperature, while wheat and barley were found to have positive correlations with average temperature and average humidity. The implications of this study are as follow. First, it was confirmed that the meteorological elements have profound effects on the production of food crops. Second, when compared to existing studies, the study was not limited to one food crop but encompassed all five types, and went beyond other studies that were limited to temperature and rainfall to include various meterological elements.