• 제목/요약/키워드: multiple point constraints

검색결과 27건 처리시간 0.022초

Using multiple point constraints in finite element analysis of two dimensional contact problems

  • Liu, C.H.;Cheng, I.;Tsai, An-Chi;Wang, Lo-Jung;Hsu, J.Y.
    • Structural Engineering and Mechanics
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    • 제36권1호
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    • pp.95-110
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    • 2010
  • Two-dimensional elastic contact problems, including normal, tangential, and rolling contacts, are treated with the finite element method in this study. Stress boundary conditions and kinematic conditions are transformed into multiple point constraints for nodal displacements in the finite element method. Upon imposing these constraints into the finite element system equations, the calculated nodal stresses and nodal displacements satisfy stress and displacement contact conditions exactly. Frictional and frictionless contacts between elastically identical as well as elastically dissimilar materials are treated in this study. The contact lengths, sizes of slip and stick regions, the normal and the shear stresses can be found.

A topology optimization method of multiple load cases and constraints based on element independent nodal density

  • Yi, Jijun;Rong, Jianhua;Zeng, Tao;Huang, X.
    • Structural Engineering and Mechanics
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    • 제45권6호
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    • pp.759-777
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    • 2013
  • In this paper, a topology optimization method based on the element independent nodal density (EIND) is developed for continuum solids with multiple load cases and multiple constraints. The optimization problem is formulated ad minimizing the volume subject to displacement constraints. Nodal densities of the finite element mesh are used a the design variable. The nodal densities are interpolated into any point in the design domain by the Shepard interpolation scheme and the Heaviside function. Without using additional constraints (such ad the filtering technique), mesh-independent, checkerboard-free, distinct optimal topology can be obtained. Adopting the rational approximation for material properties (RAMP), the topology optimization procedure is implemented using a solid isotropic material with penalization (SIMP) method and a dual programming optimization algorithm. The computational efficiency is greatly improved by multithread parallel computing with OpenMP to run parallel programs for the shared-memory model of parallel computation. Finally, several examples are presented to demonstrate the effectiveness of the developed techniques.

Dynamic response of a beam on multiple supports with a moving mass

  • Lee, H.P.
    • Structural Engineering and Mechanics
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    • 제4권3호
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    • pp.303-312
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    • 1996
  • The dynamic behavior of an Euler beam with multiple point constraints traversed by a moving concentrated mass, a "moving-force moving-mass" problem, is analyzed and compared with the corresponding simplified "moving-force" problem. The equation of motion in matrix form is formulated using Lagrangian approach and the assumed mode method. The effects of the presence of intermediate point constraints in reducing the fluctuation of the contact force between the mass and the beam and the possible separation of the mass from the beam are investigated. The equation of motion and the numerical results are expressed in dimensionless form. The numerical results presented are therefore applicable for a large combination of system parameters.

에너지 최적의 열차 속도 궤적 생성을 위한 GA 기반 알고리즘 (A GA-Based Algorithm for Generating a Train Speed Profile Optimizing Energy Efficiency)

  • 강문호;한문섭
    • 한국철도학회논문집
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    • 제12권6호
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    • pp.878-886
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    • 2009
  • 본 논문에서는 열차 운전시 최적의 에너지 효율을 얻기 위해서 GA(Genetic Algorithm)를 이용하여 열차 속도 프로파일을 생성하는 최적 알고리즘을 제시하고 시뮬레이션을 통해 유효성을 보였다. 역간의 열차 운전 모드를 최대 역행, 타행, 최대 제동으로 간략화 시키고 타행지점을 조절하여 열차 운전시 소비되는 에너지를 최소화 시키는 방식을 기본으로 하여, 정해진 거리의 두 역간을 정해진 운전시간 내에 도달하기 위하여 목표 운전시간을 이용하여 적합도(Fitness) 함수를 설정한 후, GA 알고리즘을 적용하여 역간 거리와 목표 운전시간의 두 제한요소를 모두 만족시키는 타행 지점들을 결정하였다. 시뮬레이션 결과 두 제한 요소들을 만족하는 타행 지점이 여러 개가 존재함을 확인하였고, 각 타행지점들에 따른 소비 에너지를 도출하여 에너지 소비량이 가장 적은 타행지점을 선정하여 최종적인 열차속도 프로파일을 결정하였다. 시뮬레이션을 위해 Simulink를 이용하여 열차성능 시뮬레이션 블록들과 GA 블록들을 설계하였다.

Power Allocation Method of Downlink Non-orthogonal Multiple Access System Based on α Fair Utility Function

  • Li, Jianpo;Wang, Qiwei
    • Journal of Information Processing Systems
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    • 제17권2호
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    • pp.306-317
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    • 2021
  • The unbalance between system ergodic sum rate and high fairness is one of the key issues affecting the performance of non-orthogonal multiple access (NOMA) system. To solve the problem, this paper proposes a power allocation algorithm to realize the ergodic sum rate maximization of NOMA system. The scheme is mainly achieved by the construction algorithm of fair model based on α fair utility function and the optimal solution algorithm based on the interior point method of penalty function. Aiming at the construction of fair model, the fair target is added to the traditional power allocation model to set the reasonable target function. Simultaneously, the problem of ergodic sum rate and fairness in power allocation is weighed by adjusting the value of α. Aiming at the optimal solution algorithm, the interior point method of penalty function is used to transform the fair objective function with unequal constraints into the unconstrained problem in the feasible domain. Then the optimal solution of the original constrained optimization problem is gradually approximated within the feasible domain. The simulation results show that, compared with NOMA and time division multiple address (TDMA) schemes, the proposed method has larger ergodic sum rate and lower Fairness Index (FI) values.

Motion Analysis of Objects Carried by Multiple Cooperating Manipulators with Frictional Contacts

  • Lee, Ji-Hong;Lee, Won-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1424-1429
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    • 2004
  • In this paper a mathematical framework for deriving acceleration bounds from given joint torque limits of multiple cooperating robots are described. Especially when the different frictional contacts for every contact are assumed and the torque limits are given in 2-norm sense, we show that the resultant geometrical configuration for the acceleration is composed of corresponding parts of ellipsoids. Since the frictional forces at the contacts are proportional to the normal squeezing forces, the key points of the work includes how to determine internal forces exerted by each robot in order not to cause slip at the contacts while the object is carried by external forces. A set of examples composed of two robot systems are shown with point-contact-with-friction model and insufficient or proper degree of freedom robots.

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마찰력을 고려한 로봇의 가속도 타원 해석 (Acceleration Ellipsoid of Multiple Cooperating Robots with Friction Contact)

  • 이원희
    • 제어로봇시스템학회논문지
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    • 제10권10호
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    • pp.887-898
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    • 2004
  • In this paper a mathematical framework fur deriving acceleration bounds from given joint torque limits of multiple cooperating robots are described. Especially when the different frictional contacts for every contact are assumed and the torque limits are given in 2-norm sense, we show that the resultant geometrical configuration for the acceleration is composed of corresponding parts of ellipsoids. Since the frictional forces at the contacts are proportional to the normal squeezing forces, the key points of the work includes how to determine internal forces exerted by each robot in order not to cause slip at the contacts while the object is carried by external forces. A set of examples composed of two robot systems are shown with point-contact-with-friction model and insufficient or proper degree of freedom robots.

무선 에너지 하비스팅 네트워크에서의 전력 제어 기법 (Power Control in RF Energy Harvesting Networks)

  • 황유민;신동수;김진영
    • 한국위성정보통신학회논문지
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    • 제12권2호
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    • pp.51-55
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    • 2017
  • 본 논문에서는 RF 에너지 하비스팅 네트워크에서 최대 전송 파워량 제한 및 최소 채널 용량 달성에 관한 제약조건을 만족시키며 에너지 하비스팅율과 채널 용량을 최대화 시키는 연구를 진행하였다. 전력 분할 기법 (power-splitting scheme) 기반 안테나로 구성된 주파수 분할 다중접속 환경에서 하나의 액세스 포인트 (access point)로부터 무선 에너지와 정보를 사용자들에게 동시에 송수신하는 모델을 가정하였다. 네트워크 성능 지표로서 에너지 효율 (energy efficiency)을 정의하고 이를 최대화 시킬 수 있는 Lagrange 이중 분해 기반의 최적화 솔루션을 제안하였다. 모의실험 결과를 통해 제안한 솔루션이 설정된 제한조건들을 만족하면서 효과적으로 에너지 효율을 최대화시키는 것을 확인하였다.

수량(水量) 및 수질(水質)을 고려(考慮)한 저수지군(貯水池群)의 종합관리(綜合管理) (Water Quantity and Quality Management Through A Multiple Reservoir System)

  • 고석구;금수삼;이광만;이기종
    • 대한토목학회논문집
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    • 제12권1호
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    • pp.123-130
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    • 1992
  • 수자원의 개발 및 관리 문제에 있어 양적인 문제가 질적인 문제에 우선하여 왔으나 산업화와 생활수준의 향상에 따라 질적인 문제도 양(量)적인 문제만큼 중요하게 되었다. 본 연구에서는 수량과 수질문제를 동시에 고려하면서 수계내의 저수지 시스템을 종합관리하는 방안을 제시하며, 개발된 인(燐) 수지(收支) 모형(模型)에 따라 저수지 수질을 장기예측하는 기법도 제시한다. 개발된 기법은 5개의 저수지 운영을 감안한 한강 유역의 저수지군 관리에 적용하였으며, 적용 결과 수량적인 면과 수질적인 면에 있어 시간과 공간적으로 편기된 수자원을 모든 제약(制約) 조건(條件)을 만족시키면서 활용할 수 있다는 것을 입증하였다.

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Bayesian inference for an ordered multiple linear regression with skew normal errors

  • Jeong, Jeongmun;Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • 제27권2호
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    • pp.189-199
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    • 2020
  • This paper studies a Bayesian ordered multiple linear regression model with skew normal error. It is reasonable that the kind of inherent information available in an applied regression requires some constraints on the coefficients to be estimated. In addition, the assumption of normality of the errors is sometimes not appropriate in the real data. Therefore, to explain such situations more flexibly, we use the skew-normal distribution given by Sahu et al. (The Canadian Journal of Statistics, 31, 129-150, 2003) for error-terms including normal distribution. For Bayesian methodology, the Markov chain Monte Carlo method is employed to resolve complicated integration problems. Also, under the improper priors, the propriety of the associated posterior density is shown. Our Bayesian proposed model is applied to NZAPB's apple data. For model comparison between the skew normal error model and the normal error model, we use the Bayes factor and deviance information criterion given by Spiegelhalter et al. (Journal of the Royal Statistical Society Series B (Statistical Methodology), 64, 583-639, 2002). We also consider the problem of detecting an influential point concerning skewness using Bayes factors. Finally, concluding remarks are discussed.