• 제목/요약/키워드: exponential law

검색결과 169건 처리시간 0.024초

선형 음의 사분 종속확률변수에서 가중합에 대한 수렴성 연구 (Convergence of weighted sums of linearly negative quadrant dependent random variables)

  • 이승우;백종일
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제12권4호
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    • pp.265-274
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    • 2012
  • We in this paper discuss the strong law of large numbers for weighted sums of arrays of rowwise LNQD random variables by using a new exponential inequality of LNQD r.v.'s under suitable conditions and we obtain one of corollary.

스트레스함수가 균등분포인 가속수명시험 (Accelerated Life Tests under Uniform Stress Distribution)

  • 원영철
    • 대한안전경영과학회지
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    • 제2권2호
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    • pp.71-83
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    • 2000
  • This paper presents accelerated life tests for Type I censoring data under probabilistic stresses. Probabilistic stress, $S_j$, is the random variable for stress influenced by test environments, test equipments, sampling devices and use conditions. The hazard rate, ,$theta_j$, is the random variable of environments and the function of probabilistic stress. Also it is assumed that the general stress distribution is uniform, the life distribution for the given hazard rate, $\theta$, is exponential and inverse power law model holds. In this paper, we obtained maximum likelihood estimators of model parameters and the mean life in use stress condition.

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Optimal Guidance and Nonlinear Tracking Control for a Lunar Lander

  • Hwang, Myung-Shin;Kim, Jin-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.167.2-167
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    • 2001
  • This paper presents guidance and control laws which guarantee a minimum fuel consumption and have obustness against various disturbances during a terminal-landing phase on the lunar surface. The nonlinear robust tracking control system is designed to track the reference profiles, which are expressed by exponential functions. An adjustment law in the tracking controller is given in the form of the differential equations with respect to the controller´s variable gains. Computer simulations are performed to examine the tracking accuracy, the robustness in a thrust failure mode, and the vertical soft landing at a pre-assigned point on the lunar surface. The results of numerical simulation show the effectiveness of the present control law.

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Constitutive Model of Tendon Responses to Multiple Cyclic Demands (II) -Theory and Comparison-

  • Chun, Keyoung-Jin;Robert P. Hubbard
    • Journal of Mechanical Science and Technology
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    • 제15권9호
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    • pp.1281-1291
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    • 2001
  • The hereditary integral form of a quasi-linear viscoelastic law has been employed. Four new concepts have been employed: 1. a reduced relaxation function with a non-linear exponential function of time, 2. an inverse method to determine the scale factor of the elastic response, 3. an instant elastic recovery strain during unloading, and 4. the results of a constitutive model for cyclic tests may be a function of the Heavyside class. These concepts have been supported by agreement between measured and predicted responses of soft connective tissue to three types of multiple cyclic tests which include rest periods of no extension and alternations between different strain levels. Such agreement has not been attained in the previous studies. Chun and Hubbard (2001) is our companion experimental analysis paper.

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Robust Predictive Feedback Control for Constrained Systems

  • Giovanini, Leonardo;Grimble, Michael
    • International Journal of Control, Automation, and Systems
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    • 제2권4호
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    • pp.407-422
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    • 2004
  • A new method for the design of predictive controllers for SISO systems is presented. The proposed technique allows uncertainties and constraints to be concluded in the design of the control law. The goal is to design, at each sample instant, a predictive feedback control law that minimizes a performance measure and guarantees of constraints are satisfied for a set of models that describes the system to be controlled. The predictive controller consists of a finite horizon parametric-optimization problem with an additional constraint over the manipulated variable behavior. This is an end-constraint based approach that ensures the exponential stability of the closed-loop system. The inclusion of this additional constraint, in the on-line optimization algorithm, enables robust stability properties to be demonstrated for the closed-loop system. This is the case even though constraints and disturbances are present. Finally, simulation results are presented using a nonlinear continuous stirred tank reactor model.

Bending analysis of power-law sandwich FGM beams under thermal conditions

  • Garg, Aman;Belarbi, Mohamed-Ouejdi;Li, Li;Tounsi, Abdelouahed
    • Advances in aircraft and spacecraft science
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    • 제9권3호
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    • pp.243-261
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    • 2022
  • Broad writing on the examination of sandwich structures mirrors the significance of incorporating thermal loadings during their investigation stage. In the current work, an endeavor has been made to concentrate on sandwich FGM beams' bending behaving under thermal loadings utilizing shear deformation theory. Temperature-dependent material properties are used during the analysis. The formulation includes the transverse displacement field, which helps better predict the behavior of thick FGM beams. Three-different thermal profiles across the thickness of the beam are assumed during the analysis. The study has been carried out on both symmetric and unsymmetric sandwich FGM beams. It has been observed that the bending behavior of sandwich FGM beams is impacted by the temperature profile to which it is subjected. Power-law exponent and thickness of core also affect the behavior of the beam.

Bending and free vibration analysis of FG sandwich beams using higher-order zigzag theory

  • Gupta, Simmi;Chalak, H.D.
    • Steel and Composite Structures
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    • 제45권4호
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    • pp.483-499
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    • 2022
  • In present work, bending and free vibration studies are carried out on different kinds of sandwich FGM beams using recently proposed (Chakrabarty et al. 2011) C-0 finite element (FE) based higher-order zigzag theory (HOZT). The material gradation is assumed along the thickness direction of the beam. Power-law, exponential-law, and sigmoidal laws (Garg et al 2021c) are used during the present study. Virtual work principle is used for bending solutions and Hamilton's principle is applied for carrying out free vibration analysis as done by Chalak et al. 2014. Stress distribution across the thickness of the beam is also studied in detail. It is observed that the behavior of an unsymmetric beam is different from what is exhibited by a symmetric one. Several new results are also reported which will be useful in future studies.

FG-based computational fracture of frequency up-conversion for bistablity of rotating shell: An effective numerical scheme

  • Hussain, Muzamal
    • Advances in concrete construction
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    • 제13권5호
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    • pp.367-376
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    • 2022
  • Theoretical study of vibration distinctiveness of rotating cylindrical are examined for three volume fraction laws viz.: polynomial, exponential and trigonometric. These laws control functionally graded material composition in the shell radius direction. Functionally graded materials are controlled from two or more materials. In practice functionally graded material comprised of two constituent materials is used to form a cylindrical shell. For the current shell problem stainless steel and nickel are used for the shell structure. A functionally graded cylindrical shell is sanctioned into two types by interchanging order of constituent materials from inner and outer side for Type I and Type II cylindrical shell arrangement. Fabric composition of a functionally graded material in a shell thickness direction is controlled by volume fraction law. Variation of power law exponent brings change in frequency values. Influence of this physical change is investigated to evade future complications. This procedure is capable to cater any boundary condition by changing the axial wave number. But for simplicity, numerical results have been evaluated for clamped- simply supported rotating cylindrical shells. It has been observed from these results that shell frequency is bifurcated into two parts: one is related to the backward wave and other with forward wave. It is concluded that the value of backward frequency is some bit higher than that forward frequency. Influence of volume fraction laws have been examined on shell frequencies. Backward and forward frequency curves for a volume fraction law are upper than those related to two other volume fraction laws. The results generated furnish the evidence regarding applicability of present shell model and also verified by earlier published literature.

실시간 추천을 위한 분할셋 기반 Up-to-Moment 선호모델 탐색 (Mining the Up-to-Moment Preference Model based on Partitioned Datasets for Real Time Recommendation)

  • 한정혜;변루나
    • 인터넷정보학회논문지
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    • 제8권2호
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    • pp.105-115
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    • 2007
  • 최근 들어 유비퀴터스 컴퓨팅에 대한 많은 연구들이 활발히 시작되고 있는데, 특히 모바일을 활용한 실시간 추천 모델에 대한 요구는 점차 커지고 있다. 본 연구에서는 기존 대용량 데이터베이스에서 실시간 추천을 위하여 Up-To-Moment 연관규칙 탐색 알고리즘이 있는데, 보다 더 정교하게 과거의 거래 세부정보까지 고려할 수 있도록 UP-To-Moment 데이터 셋의 과거 데이터 셋 부분을 (k-1)개로 분할-조합규칙을 적용하는 연관규칙 선호모델을 제안하였다. 제안된 모델은 전자상점 뿐만 아니라 유비퀴터스 컴퓨팅에 적용 가능한 레스토랑 음식 추천 데이터에 대하여, 전통적인 Up-To-Moment 연관규칙 탐색모델 $EM_{past'}$ 데이터 셋 크기값을 가중 조합한 $EM^w_{past'}$ 그리고 시간에 따른 지수평활법 분할-조합규칙을 적용한 $EM^{ES}_{past}$을 비교하여 보았다. 특히 $EM^{ES}_{past}$의 지수평활 상수 a 값의 변화에 따른 세 알고리즘의 연관규칙 계산에 대한 민감도도 비교함으로써, 실제 데이터 적용 시에 보수적 또는 진보적 실시간 추천의 선택이 가능하도록 하였다. 세 알고리즘의 비교 시뮬레이션 결과를 보면, 데이터 셋 크기 값을 가중 조합한 $EM^w_{past}$이 가장 효율이 떨어지는 것으로 나타났으며, 누적된 과거 데이터 셋의 크기가 클수록 $EM^{ES}_{past}$의 정확성이 높은 추천을 하는 것으로 나타났다.

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대칭형 다공성 매질의 확산주도 영역에 관한 1차 물질이동 방정식 (First-Order Mass Transfer in a Diffusion-Dominated (Immobile) Zone of an Axisymmetric Pore: Semi-Analytic Solution and Its Limitations)

  • 김영우;강기준;조정호
    • 한국산학기술학회논문지
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    • 제11권11호
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    • pp.4664-4670
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    • 2010
  • 본 연구에서는 기존 MIM Zone model과 새로이 유도한 모델과 비교를 통해 몇가지 결론을 도출하였다. MIM model 이 적용되면 immobile 영역에서의 초기농도는 기공의 형태에 의해 달라지는 보정계수에 의해 실제농도보다 저평가되었으며 이는 오직 확산이 기공의 가장 깊은 부분까지 시행된 이후에 유효함을 확인하였다. 물질이동계수, $\alpha$는 기공의 깊이에 따라 반비례하며, 유동 구역의 유속에는 종속되어지지 않는다. 기존의 MIM model 은 확산주도영역의 농도가 급속하게 감소하는 현상을 보여주는데 새로이 유도된 모델의 경우도 충분한 시간이 경과한후 비슷한 현상을 보였으며 이는 기존의 여러 실험에서 관찰된 power-law BTC 의 상반되는 결과를 보여준다.