• 제목/요약/키워드: Penalty element

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단계 분할 유한 요소법을 이용한 분산 보상 광 전송 시스템의 시뮬레이션 (Simulation of Dispersion Compensation Transmission System Using Split-Step Finite Element Method)

  • 홍순원;이호준
    • 전자공학회논문지D
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    • 제36D권8호
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    • pp.79-86
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    • 1999
  • 분산 보상을 위하여 DCF(dispersion compensating fiber)를 사용한 10Gbps 전송 시스템을 시뮬레이션 하였다. 비선형 광섬유에서 NRZ 펄스 전파를 분석하기 위해서, 유한 요소법과 유한 차분법을 조합한 단계 분할 유한 요소법을 사용하였다. 광 증폭기와 시스템 잡음이 포함된 시스템의 수신기에서 eye diagram과 BER 곡선을 구하였다. 시뮬레이션 결과로써, 50km 전송후에 분산 패널티가 약 0.8dB이었으며, 이득이 12dB인 EDFA를 사용하였을 때 $10^{-9}$ BER에서 -27.4dBm의 수신감도를 나타내었고 EDFA를 사용하지 않았을 경우에는 15.6dBm.의 감도를 나타낸다는 것을 확인하였다.

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A FINITE-VISCOELASTIC CONTINUUM MODEL FOR RUBBER AND ITS FINITE ELEMENT ANALYSIS

  • Kim, Seung-Jo;Kim, Kyeong-Su;Cho, Jin-Yeon
    • Journal of Theoretical and Applied Mechanics
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    • 제1권1호
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    • pp.97-109
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    • 1995
  • In this paper, a finite viscoelastic continuum model for rubber and its finite element analysis are presented. This finite viscoelatic model based on continuum mechanics is an extended model of Johnson and Wuigley's 1-D model. In this extended model, continuum based kinematic measures are rigorously defied and by using this kinematic measures, elastic stage law and flow rule are introduced. In kinematics, three configuration are introduced. In kinematics, three configuration are introduced. They are reference, current and virtual visco configurations. In elastic state law, it is assumed that at a certain time, there exists an elastic potential which describes the recoverable elastic energy. From this elastic potential, elastic state law is derived. The proposed flow rule is based on phenomenological observation. The flow rule gives precise relaxation response. In finite element approximation, mixed Lagrangian description is used, where total and similar method of updated Lagrangian descriptions are used together. This approach reduces the numerical job and gives simple nonlinear syatem of equations. To satisfy the incompressible condition, penalty-type modified Mooney-Rivlin energy function is adopted. By this method nearly incompressible condition is obtain the virtual visco configuration. For verification, uniaxial stretch tests are simulated for various stretch rates. The simulated results show good agreement with experiments. As a practical experiments. As a preactical example, pressurized rubber plate is simulated. The result shows finite viscoelastic effects clearly.

Analysis of shallow footings rested on tensionless foundations using a mixed finite element model

  • Lezgy-Nazargah, M.;Mamazizi, A.;Khosravi, H.
    • Structural Engineering and Mechanics
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    • 제81권3호
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    • pp.379-394
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    • 2022
  • Shallow footings usually belonged to the category of thick plate structures. For accurate analysis of thick plates, the contribution of out-of-plane components of the stress tensor should be considered in the formulation. Most of the available shallow footing models are based on the classical plate theories, which usually neglect the effects of the out-of-plane stresses. In this study, a mixed-field plate finite element model (FEM) is developed for the analysis of shallow footings rested on soil foundations. In addition to displacement field variables, the out-of-plane components of the stress tensor are also assumed as a priori unknown variables. For modeling the interaction effect of the soil under and outside of the shallow footings, the modified Vlasov theory is used. The tensionless nature of the supporting soil foundation is taken into account by adopting an incremental, iterative procedure. The equality requirement of displacements at the interface between the shallow footing and soil is fulfilled using the penalty approach. For validation of the present mixed FEM, the obtained results are compared with the results of 3D FEM and previous results published in the literature. The comparisons show the present mixed FEM is an efficient and accurate tool for solving the problems of shallow footings rested on subsoil.

Finite element based free vibration analysis of sandwich FGM plates under hygro-thermal conditions using zigzag theory

  • Aman Garg;Neeraj Kumar Shukla;M.Ramkumar Raja;Hanuman D. Chalak;Mohamed-Ouejdi Belarbi;Abdelouahed Tounsi;Li Li;A.M. Zenkour
    • Steel and Composite Structures
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    • 제49권5호
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    • pp.547-570
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    • 2023
  • In the present work, a comparative study has been carried out between power, exponential, and sigmoidal sandwich FGM plates for free vibration conditions under hygro-thermal conditions. Rules of mixture is used to determine effective material properties across the thickness for power-law and sigmoid sandwich FGM plates. Exponential law is used to plot effective material properties for exponentially graded sandwich FGM plates. Temperature and moisture dependent material properties were used during the analysis. Free vibration analysis is carried out using recently proposed finite element based HOZT. Present formulation satisfies interlayer transverse stress continuity conditions at interfaces and transverse shear stress-free conditions at the plate's top and bottom surfaces. The present model is free from any penalty or post-processing requirements. Several new results are reported in the present work, especially for unsymmetric sandwich FGM plates and exponential and sigmoidal sandwich FGM plates.

P1 비순응 요소를 이용한 비압축성 유동 문제의 위상최적화 (Topology Optimization of Incompressible Flow Using P1 Nonconforming Finite Elements)

  • 장강원;장세명
    • 대한기계학회논문집A
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    • 제36권10호
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    • pp.1139-1146
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    • 2012
  • P1 비순응 요소를 이용하여 정상 비압축성 Navier-Stokes 유동의 위상최적화 문제를 푸는 방법을 제시한다. 본 연구는 Stokes 유동의 위상최적화 문제에 P1 비순응 요소를 적용하여 그 수치적 효용성을 보인바 있는 이전 연구에 대한 후속 연구이다. 비압축성 물질 해석에서 잠김현상이 발생하지 않으며 선형형상함수를 가지는 P1 비순응 요소의 장점이 관성항을 가지는 유체 문제의 해석과 설계에도 유효한 지를 파악하고자 한다. 일반적으로 사용되는 혼합정식화법과 비교하여 P1 비순응 요소의 사용은 벌칙 함수를 이용하여 연속 방정식을 따로 사용하지 않고 운동방정식에 부과할 수 있기 때문에 자유도의 개수를 감소시킬 수 있다. 벌칙 파라미터가 해의 정확도에 주는 영향과 적정 범위는 수치적으로 검토하도록 한다. 또한 보통의 사각 비순응 요소들이 요소면의 중앙에 절점을 가지고 고차의 형상함수를 지니는데 비하여, 본 연구에서 제시하는 P1 비순응 요소는 요소의 꼭지점에 절점을 가지고 {1, x, y}의 P1 형상함수로 구성됨으로써 수치적인 구현의 용이함이 일반 선형 사절점 요소와 동일하다. 제안한 방법의 효용성을 다양한 레이놀즈수에 따른 유동최적화 문제들을 살펴봄으로써 검증하도록 한다.

Material distribution optimization of 2D heterogeneous cylinder under thermo-mechanical loading

  • Asgari, Masoud
    • Structural Engineering and Mechanics
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    • 제53권4호
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    • pp.703-723
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    • 2015
  • In this paper optimization of volume fraction distribution in a thick hollow cylinder with finite length made of two-dimensional functionally graded material (2D-FGM) and subjected to steady state thermal and mechanical loadings is considered. The finite element method with graded material properties within each element (graded finite elements) is used to model the structure. Volume fractions of constituent materials on a finite number of design points are taken as design variables and the volume fractions at any arbitrary point in the cylinder are obtained via cubic spline interpolation functions. The objective function selected as having the normalized effective stress equal to one at all points that leads to a uniform stress distribution in the structure. Genetic Algorithm jointed with interior penalty-function method for implementing constraints is effectively employed to find the global solution of the optimization problem. Obtained results indicates that by using the uniform distribution of normalized effective stress as objective function, considerably more efficient usage of materials can be achieved compared with the power law volume fraction distribution. Also considering uniform distribution of safety factor as design criteria instead of minimizing peak effective stress affects remarkably the optimum volume fractions.

Simplified model to study the dynamic behaviour of a bolted joint and its self loosening

  • Ksentini, Olfa;Combes, Bertrand;Abbes, Mohamed Slim;Daidie, Alain;Haddar, Mohamed
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.639-654
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    • 2015
  • Bolted joints are essential elements of mechanical structures and metal constructions. Although their static behaviour is fairly well known, their dynamic behaviour due to shocks and vibrations has been less studied, because of the large size of the finite element models needed for a detailed simulation. This work presents four different simplified models suitable for studying the dynamic behaviour of an elementary bolted joint. Three of them include contact elements to allow sliding of the screw head and the nut on the assembled parts, and the last one allows rotation between screw and nut. A penalty approach based on the Coulomb friction model is used to model contact. The results show that these models effectively represent the dynamic behaviour, with different accuracy depending on the model details. The last model simulates the self loosening of a bolt subjected to transversal vibrations.

영역/경계 분할에 의한 열탄점소성 손상 및 접촉 해석의 효율화 (Computational Efficiency of Thermo-Elasto-Viscoplastic Damage and Contact Analyses by Domain/Boundary Decomposition)

  • 김성준;신의섭
    • 한국전산구조공학회논문집
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    • 제22권2호
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    • pp.153-161
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    • 2009
  • 재료 비선형성을 갖는 열탄점소성 손상 문제와 경계 비선형성을 갖는 접촉 문제의 효율적인 해석을 위하여 열탄성 부영역, 열탄점소성/손상 부영역, 공유면, 접촉 공유면에 기반을 둔 영역/경계 분할법을 제안하였다. 대변형과 같은 지하학적 비선형성은 고려하지 않았으며, 영역 및 경계 분할에 관련된 공유면 및 접촉 공유면에서의 연속 구속 조건을 처리하기 위하여 간단한 벌칙 함수 기법을 적용하였다. 결과적으로 재료 및 경계 비선형성은 소수의 부영역과 접촉 경계면에서 계산되는 유한요소 행렬들에 국한된다. 따라서 적절한 해석 알고리듬을 구성하면 대폭적인 효율성 향상이 가능하게 된다. 간단한 수치 실험을 통해서 열탄점소성 손상 및 접촉 해석의 효율성에 관련된 기본적인 특성을 분석하였다.

부유식 진자형 파력발전 장치의 파랑운동 수치해석 (Numerical Analysis of Wave-induced Motion of Floating Pendulor Wave Energy Converter)

  • 남보우;홍사영;김기범;박지용;신승호
    • 한국해양공학회지
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    • 제25권4호
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    • pp.28-35
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    • 2011
  • In this paper, the wave-induced motion characteristics of a floating pendulor are investigated numerically. A floating pendulor is a movable-body-type wave energy converter. This device consists of three main parts (floater, pendulum, and damping plates). In order to obtain the hydrodynamic coefficients and wave exciting forces acting on floating bodies, a higher-order boundary element method (HOBEM) using a wave Green function is applied to the present problems. The hinged motion of a pendulum is simulated by applying the penalty method. In order to obtain a more realistic motion response for a pendulor, numerical body damping is included. First, the wave force and motion characteristics of just a floater are observed with respect to different shape parameters. Then, a coupled analysis of a floater, pendulum, and damping plates is carried out. The relative pitch velocity and wave forces acting on the floating pendulor are compared with those of a fixed pendulor.

Finite element modeling and bending analysis of piezoelectric sandwich beam with debonded actuators

  • Rao, K. Venkata;Raja, S.;Munikenche, T.
    • Smart Structures and Systems
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    • 제13권1호
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    • pp.55-80
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    • 2014
  • The present work pays emphasis on investigating the effect of different types of debonding on the bending behaviour of active sandwich beam, consisting of both extension and shear actuators. An active sandwich beam finite element is formulated by using Timoshenko's beam theory, characterized by first order shear deformation for the core and Euler-Bernoulli's beam theory for the top and bottom faces. The problem of debondings of extension actuator and face are dealt with by employing four-region model for inner debonding and three-region model for the edge debonding respectively. Displacement based continuity conditions are enforced at the interfaces of different regions using penalty method. Firstly, piezoelectric actuation of healthy sandwich beam is assessed through deflection analysis. Then the effect of actuators' debondings with different boundary conditions on bending behavior is computationally evaluated and experimentally clamped-free case is validated. The results generated will be useful to address the damage tolerant design procedures for smart sandwich beam structures with structural control and health monitoring applications.