• 제목/요약/키워드: lagrange

검색결과 836건 처리시간 0.022초

드롭착지 동작 시 체간모델에 따른 척추분절운동이 자세안정성 해석에 미치는 영향 (The Effect Analysis of Postural Stability on the Inter-Segmental Spine Motion according to Types of Trunk Models in Drop Landing)

  • 유경석
    • 한국운동역학회지
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    • 제24권4호
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    • pp.375-383
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    • 2014
  • The purpose of this study was to assess the inter-segmental trunk motion during which multi-segmental movements of the spinal column was designed to interpret the effect of segmentation on the total measured spine motion. Also it analyzed the relative motion at three types of the spine models in drop landing. A secondary goal was to determine the intrinsic algorithmic errors of spine motion and the usefulness of such an approach as a tool to assess spinal motions. College students in the soccer team were selected the ten males with no history of spine symptoms or injuries. Each subject was given a fifteen minute adaptation period of drop landing on the 30cm height box. Inter-segmental spine motion were collected Vicon Motion Capture System (250 Hz) and synchronized with GRF data (1000 Hz). The result shows that Model III has a more increased range of motion (ROM) than Model I and Model II. And the Lagrange energy has significant difference of at E3 and E4 (p<.05). This study can be concluded that there are differences in the three models of algorithm during the phase of load absorption. Especially, Model III shows proper spine motion for the inter-segmental joint motion with the interaction effects using the seven segments. Model III shows more proper observed values about dynamic equilibrium than Model I & Model II. The findings have shown that the dynamic stability strategy of Model III toward multi-directional spinal motion supports for better function of the inter-segmental motor-control than the Model I and Model II.

고정과 자유경계조건의 조합을 고려한 직사각형 복합적층판의 3차원 진동해석 (Three-Dimensional Vibration Analysis of Rectangular Laminated Composite Plates with Combination of Clamped and Free Boundary Conditions)

  • 김주우
    • 한국강구조학회 논문집
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    • 제18권2호
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    • pp.161-171
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    • 2006
  • 본 논문은 고정과 자유 경계의 다양한 조합을 갖는 직사각형 복합적층판의 고유진동에하고 있다. 본 연구에서는 수학적으로 완전한 특성직교다항식으로 표현되는 근사변위와 Ritz법을 이용하여 Lagrange 범함수의 정상값을 구하였다. 3차원 모델의 정확성이 무차원 진동수의 수렴도를 검토하여 이루어졌으며, 또한 기존 문헌상의 해석결과와의 비교를 통하여 진동수의 정확성을 검토하였다. 본 논문에서 제시된 3차원 진동수의 결과를 이용하여 복합적층판의 기하 및 재료에 관한 매개변수 즉, 형상비(${\mathcal{a/b}}$), 폭두께비(${\mathcal{a/h}}$), 재료의 직교이방성, 플라이 수(${\mathcal{N}}$), 섬유배향각(${\theta}$) 및 적층순서가 미치는 효과를 설명하였다.

Coalition based Optimization of Resource Allocation with Malicious User Detection in Cognitive Radio Networks

  • Huang, Xiaoge;Chen, Liping;Chen, Qianbin;Shen, Bin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권10호
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    • pp.4661-4680
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    • 2016
  • Cognitive radio (CR) technology is an effective solution to the spectrum scarcity issue. Collaborative spectrum sensing is known as a promising technique to improve the performance of spectrum sensing in cognitive radio networks (CRNs). However, collaborative spectrum sensing is vulnerable to spectrum data falsification (SSDF) attack, where malicious users (MUs) may send false sensing data to mislead other secondary users (SUs) to make an incorrect decision about primary user (PUs) activity, which is one of the key adversaries to the performance of CRNs. In this paper, we propose a coalition based malicious users detection (CMD) algorithm to detect the malicious user in CRNs. The proposed CMD algorithm can efficiently detect MUs base on the Geary'C theory and be modeled as a coalition formation game. Specifically, SSDF attack is one of the key issues to affect the resource allocation process. Focusing on the security issues, in this paper, we analyze the power allocation problem with MUs, and propose MUs detection based power allocation (MPA) algorithm. The MPA algorithm is divided into two steps: the MUs detection step and the optimal power allocation step. Firstly, in the MUs detection step, by the CMD algorithm we can obtain the MUs detection probability and the energy consumption of MUs detection. Secondly, in the optimal power allocation step, we use the Lagrange dual decomposition method to obtain the optimal transmission power of each SU and achieve the maximum utility of the whole CRN. Numerical simulation results show that the proposed CMD and MPA scheme can achieve a considerable performance improvement in MUs detection and power allocation.

횡방향 철근의 구속효과를 고려한 반복하중을 받는 철근콘크리트 부재의 비탄성해석 (Inelastic Analysis of Reinforced Concrete Structure Subjected to Cyclic Loads with Confining Effects of Lateral Tie)

  • 유영화;최정호;신현목
    • 한국지진공학회논문집
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    • 제2권1호
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    • pp.79-93
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    • 1998
  • 철근콘크리트부재가 갖는 균열의 발생, 항복 및 파괴 등의 단계별 역학적 거동의 특성을 정확히 예측하고 모사할 수 있는 해석기법의 개발을 목적으로 하였다. 이를 위해서 균열발생후의 철근과 콘크리트의 부착거동, 균열면에서의 골재의 맞물림 거동 및 철근항복후의 모델링 등에 의해서 반복하중을 받는 철근콘크리트 구조부재의 항복후 파괴거동을 예측할 수 있는 해석모델을 개발하였다. 두께가 서로 다릉 부재간의 접합부에서는 단면강성이 급변하기 때문에 기초의 바닥으로부터 철근의 인발, 접합면의 미끄러짐 및 접합면의 관입 등의 국소적인 불연속 변형이 집중하게 된다. 이와 같은 국소적인 불연속 교각구조의 변형능력에 미치는 기여도는 일반적으로 무시할 수 없는 정도이므로, 불연속 변형을 고려하기 위한 접합요소(joint element)를 도입하였다. 또한 축방향철근 및 횡방향 구속철근의 유무 및 그 양 등에 따른 구속효과를 적절히 표현할 수 있는 해석모델을 개발하였다. 각각의 해석모델들을 조합한 유한요소 해석프로그램에 의한 결과를 다른 연구자들의 결과와 비교하여 타당성을 검증하였다.

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Analysis of Stokes flows by Carrera unified formulation

  • Varello, Alberto;Pagani, Alfonso;Guarnera, Daniele;Carrera, Erasmo
    • Advances in aircraft and spacecraft science
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    • 제5권3호
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    • pp.363-383
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    • 2018
  • One-dimensional (1D) models of incompressible flows, can be of interest for many applications in which fast resolution times are demanded, such as fluid-structure interaction of flows in compliant pipes and hemodynamics. This work proposes a higher-order 1D theory for the flow-field analysis of incompressible, laminar, and viscous fluids in rigid pipes. This methodology is developed in the domain of the Carrera Unified Formulation (CUF), which was first employed in structural mechanics. In the framework of 1D modelling, CUF allows to express the primary variables (i.e., velocity and pressure fields in the case of incompressible flows) as arbitrary expansions of the generalized unknowns, which are functions of the 1D computational domain coordinate. As a consequence, the governing equations can be expressed in terms of fundamental nuclei, which are invariant of the theory approximation order. Several numerical examples are considered for validating this novel methodology, including simple Poiseuille flows in circular pipes and more complex velocity/pressure profiles of Stokes fluids into non-conventional computational domains. The attention is mainly focused on the use of hierarchical McLaurin polynomials as well as piece-wise nonlocal Lagrange expansions of the generalized unknowns across the pipe section. The preliminary results show the great advantages in terms of computational costs of the proposed method. Furthermore, they provide enough confidence for future extensions to more complex fluid-dynamics problems and fluid-structure interaction analysis.

Nonlinear numerical modelling for the effects of surface explosions on buried reinforced concrete structures

  • Nagy, N.;Mohamed, M.;Boot, J.C.
    • Geomechanics and Engineering
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    • 제2권1호
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    • pp.1-18
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    • 2010
  • The analysis of structure response and design of buried structures subjected to dynamic destructive loads have been receiving increasing interest due to recent severe damage caused by strong earthquakes and terrorist attacks. For a comprehensive design of buried structures subjected to blast loads to be conducted, the whole system behaviour including simulation of the explosion, propagation of shock waves through the soil medium, the interaction of the soil with the buried structure and the structure response needs to be simulated in a single model. Such a model will enable more realistic simulation of the fundamental physical behaviour. This paper presents a complete model simulating the whole system using the finite element package ABAQUS/Explicit. The Arbitrary Lagrange Euler Coupling formulation is used to model the explosive charge and the soil region near the explosion to eliminate the distortion of the mesh under high deformation, while the conventional finite element method is used to model the rest of the system. The elasto-plastic Drucker-Prager Cap model is used to model the soil behaviour. The explosion process is simulated using the Jones-Wilkens-Lee equation of state. The Concrete Damage Plasticity model is used to simulate the behaviour of concrete with the reinforcement considered as an elasto-plastic material. The contact interface between soil and structure is simulated using the general Mohr-Coulomb friction concept, which allows for sliding, separation and rebound between the buried structure surface and the surrounding soil. The behaviour of the whole system is evaluated using a numerical example which shows that the proposed model is capable of producing a realistic simulation of the physical system behaviour in a smooth numerical process.

Verification and validation of isotope inventory prediction for back-end cycle management using two-step method

  • Jang, Jaerim;Ebiwonjumi, Bamidele;Kim, Wonkyeong;Cherezov, Alexey;Park, Jinsu;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • 제53권7호
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    • pp.2104-2125
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    • 2021
  • This paper presents the verification and validation (V&V) of a calculation module for isotope inventory prediction to control the back-end cycle of spent nuclear fuel (SNF). The calculation method presented herein was implemented in a two-step code system of a lattice code STREAM and a nodal diffusion code RAST-K. STREAM generates a cross section and provides the number density information using branch/history depletion branch calculations, whereas RAST-K supplies the power history and three history indices (boron concentration, moderator temperature, and fuel temperature). As its primary feature, this method can directly consider three-dimensional core simulation conditions using history indices of the operating conditions. Therefore, this method reduces the computation time by avoiding a recalculation of the fuel depletion. The module for isotope inventory calculates the number densities using the Lagrange interpolation method and power history correction factors, which are applied to correct the effects of the decay and fission products generated at different power levels. To assess the reliability of the developed code system for back-end cycle analysis, validation study was performed with 58 measured samples of pressurized water reactor (PWR) SNF, and code-to-code comparison was conducted with STREAM-SNF, HELIOS-1.6 and SCALE 5.1. The V&V results presented that the developed code system can provide reasonable results with comparable confidence intervals. As a result, this paper successfully demonstrates that the isotope inventory prediction code system can be used for spent nuclear fuel analysis.

Validation of spent nuclear fuel decay heat calculation by a two-step method

  • Jang, Jaerim;Ebiwonjumi, Bamidele;Kim, Wonkyeong;Park, Jinsu;Choe, Jiwon;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • 제53권1호
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    • pp.44-60
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    • 2021
  • In this paper, we validate the decay heat calculation capability via a two-step method to analyze spent nuclear fuel (SNF) discharged from pressurized water reactors (PWRs). The calculation method is implemented with a lattice code STREAM and a nodal diffusion code RAST-K. One of the features of this method is the direct consideration of three-dimensional (3D) core simulation conditions with the advantage of a short simulation time. Other features include the prediction of the isotope inventory by Lagrange non-linear interpolation and the use of power history correction factors. The validation is performed with 58 decay heat measurements of 48 fuel assemblies (FAs) discharged from five PWRs operated in Sweden and the United States. These realistic benchmarks cover the discharge burnup range up to 51 GWd/MTU, 23.2 years of cooling time, and spanning an initial uranium enrichment range of 2.100-4.005 wt percent. The SNF analysis capability of STREAM is also employed in the code-to-code comparison. Compared to the measurements, the validation results of the FA calculation with RAST-K are within ±4%, and the pin-wise results are within ±4.3%. This paper successfully demonstrates that the developed decay heat calculation method can perform SNF back-end cycle analyses.

Analysis of critical fluid velocity and heat transfer in temperature-dependent nanocomposite pipes conveying nanofluid subjected to heat generation, conduction, convection and magnetic field

  • Fakhar, Mohammad Hosein;Fakhar, Ahmad;Tabatabaei, Hamidreza
    • Steel and Composite Structures
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    • 제30권3호
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    • pp.281-292
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    • 2019
  • In this paper, analysis of critical fluid velocity and heat transfer in the nanocomposite pipes conveying nanofluid is presented. The pipe is reinforced by carbon nanotubes (CNTs) and the fluid is mixed by $AL_2O_3$ nanoparticles. The material properties of the nanocomposite pipe and nanofluid are considered temperature-dependent and the structure is subjected to magnetic field. The forces of fluid viscosity and turbulent pressure are obtained using momentum equations of fluid. Based on energy balance, the convection of inner and outer fluids, conduction of pipe and heat generation are considered. For mathematical modeling of the nanocomposite pipes, the first order shear deformation theory (FSDT) and energy method are used. Utilizing the Lagrange method, the coupled pipe-nanofluid motion equations are derived. Applying a semi-analytical method, the motion equations are solved for obtaining the critical fluid velocity and critical Reynolds and Nusselt numbers. The effects of CNTs volume percent, $AL_2O_3$ nanoparticles volume percent, length to radius ratio of the pipe and shell surface roughness were shown on the critical fluid velocity, critical Reynolds and Nusselt numbers. The results are validated with other published work which shows the accuracy of obtained results of this work. Numerical results indicate that for heat generation of $Q=10MW/m^3$, adding 6% $AL_2O_3$ nanoparticles to the fluid increases 20% the critical fluid velocity and 15% the Nusselt number which can be useful for heat exchangers.

협력 통신을 이용한 LTE-Advanced 릴레이 시스템을 위한 하향링크 통합 자원할당 및 경로선택 기법 (A Joint Allocation and Path Selection Scheme for Downlink Transmission in LTE-Advanced Relay System with Cooperative Relays)

  • 이혁준;엄태현
    • 한국ITS학회 논문지
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    • 제17권6호
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    • pp.211-223
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    • 2018
  • 릴레이 시스템은 커버리지 확장과 셀 경계(Cell-Edge)의 시스템 처리량 향상을 목적으로 4세대 이동통신 시스템에 적용되어 왔다. 릴레이 시스템은 커버리지 확장과 시스템 처리량 증대에 효과적이지만 기존 단일 홉 시스템과 달리 추가 자원을 사용하기 때문에 릴레이 시스템에 특화된 경로선택 및 무선자원 할당 알고리즘의 적용을 요구한다. 본 논문에서는 협력 통신을 이용하는 LTE-Advanced 릴레이 시스템을 위한 통합 경로선택 및 자원할당 기법을 제안한다. 제안하는 기법은 라그랑지 승수 기반의 휴리스틱 알고리즘으로, 다중차원 다중선택 배낭 문제(Multi-dimensional Multi-choice Knapsack Problem)의 형태로 정의된 협력 통신 기반의 LTE-Advanced 릴레이 시스템 하향링크 처리율 최대화 문제의 근사 해를 구한다. 제안된 기법에 의해 도출된 근사 해의 성능이 최적 해의 성능에 충분히 근접할 수 있음을 시뮬레이션을 통해 보인다.