• 제목/요약/키워드: Lagrange Multiplier

검색결과 191건 처리시간 0.028초

Optimum Shape for Buckling and Post-Buckling Behavior of a Laminated Composite Panel with I-type Stiffeners

  • Lee, Gwang-Rog;Yang, Won-Ho;Sub, Myung-Won
    • Journal of Mechanical Science and Technology
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    • 제16권10호
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    • pp.1211-1221
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    • 2002
  • A shape optimization of stiffener was conducted to increase buckling load or failure load with stiffened laminated composite panel of I-type under compression loading. Design variables are cap length, web length, and/or thickness under the constraint of volume constancy. The objective function is buckling load and failure load of post-buckling based on Tsai-Hill theory using ABAQUS 5.8 for analysis and Optimizer on Broydon-Fletcher Goldfarb-Sharno Method and Augmented Lagrange Multiplier Method. The effects of relative length of a web and a cap of stiffener on buckling load and failure load of post-buckling were investigated with the results of optimum design.

Frequency Window Method에 의한 1차-2차 구조시스템의 진동특성 (Frequency Window Method for the Vibration of Primary-Secondary Structural Systems)

  • 민경원
    • 소음진동
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    • 제1권1호
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    • pp.45-52
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    • 1991
  • The dynamic properties of primary-secondary structural systems are examined using analytical expressions for the modal properties. The analysis begins with a Lagrange multiplier formulation to develop a characteristic equation in terms of primary system mobilities and secondary system impedances. The complexity of the characteristic equation by developing new method, frequency window method. It is shown that the reduction of complexity can only be obtained by a reduction of accuracy, but by retaining the dominant effects of the dynamics problem, the loss of accuracy is not excessive. The reduced problem is examined further to develop simple expressions for the modal properties which provide insight into the resonance characteristics of the primary-secondary system problem. The results are useful as a complement to existing computational techniques for understanding and interpreting dynamic analysis results.

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Analysis of Static and Dynamic Frictional Contact of Deformable Bodies Including Large Rotations of the Contact Surfaces

  • Lee, Kisu
    • Journal of Mechanical Science and Technology
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    • 제16권10호
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    • pp.1276-1286
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    • 2002
  • The numerical techniques are presented to solve the static and dynamic contact problems of deformable bodies having large rotations of the contact surfaces. The contact conditions on the possible contact surfaces are enforced by using the contact error vector, and an iterative scheme similar to augmented Lagrange multiplier method is employed to reduce the contact error vector monotonically. For dynamic contact problems using implicit time integration, a contact error vector is also defined by combining the displacement, velocity, and acceleration on the contact surface. The suggested iterative technique is implemented to ABAQUS by using the UEL subroutine UEL. In this work, after the computing procedures to solve the frictional contact problems are explained, the numerical examples are presented to compare the present solutions with those obtained by ABAQUS.

부품의 탄성변형을 고려한 내연기관 밸브트레인 동역학 해석 (Analysis of Valvetrain Dynamics of an Internal Combustion Engine with Elastic Deformation of the Components)

  • 이기수
    • 한국자동차공학회논문집
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    • 제17권4호
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    • pp.63-71
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    • 2009
  • The elastic effects of the valve train components are analyzed by using the finite element models of the rocker arm and valve. The whole equations of motion of the valvetrain of an internal combustion engine formulated by finite element techniques are solved by imposing the contact conditions with the augmented Lagrange multiplier method. The velocity and acceleration constraints as well as the displacement constraints are imposed on the contact points. The numerical simulations show that, even if the magnitude of the elastic deformation of the components is very small, it may have large effects on the valvetrain dynamics of a high-speed engine.

불확실한 선형 시스템의 지역 안정 제한 조건을 가진 강인한 $H_{\infty}$제어기의 설계 (Design of a robust $H_{\infty}$ controller with regional stability constraints for uncertain linear systems)

  • 이문노;문정호;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.747-750
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    • 1996
  • This paper considers the problem of robust H$_{\infty}$ control with regional stability constraints via output feedback to assure robust performance for uncertain linear systems. A robust H$_{\infty}$ control problem and the generalized Lyapunov theory are introduced for dealing with the problem, The output feedback H$_{\infty}$ controller makes the controlled outputs settle within a given bound and the control input not to be saturated. The regional stability constraints problem for uncertain systems can be reduced to the problem for the nominal systems by finding sufficient bounds of variations of the closed-loop poles due to modeling uncertainties. A controller design procedure is established using the Lagrange multiplier method. The controller design technique was illustrated on the track-following system of a optical disk drive.ve.

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최소노름 응력장를 이용한 구조물의 소성해석법 (Plastic Design Method for Steel Skeletal Structure based on the Least Norm Stress Field)

  • 이승재
    • 한국공간구조학회논문집
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    • 제6권3호
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    • pp.131-137
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    • 2006
  • 본 연구는 소성이론의 하계정리를 이용하여 구조설계자의 부재의 응력장에 대한 만족도를 고려한 구조해석 프로그램을 제안한다. 구조물에 작용하는 계수하중과 평형을 이루는 임의의 응력장 중에서 최소노름 응력장을 이용하여 찾아내고, 구조물의 모든 부위에서 부재의 설계내력이 부재력을 상회하도록 부재 단면을 결정하는 방법을 제안한다.

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Optimal Topologies for Cascaded Sub-Multilevel Converters

  • Babaei, Ebrahim
    • Journal of Power Electronics
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    • 제10권3호
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    • pp.251-261
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    • 2010
  • The general function of a multilevel converter is to synthesize a desired output voltage from several levels of dc voltages as inputs. In order to increase the steps in the output voltage, a new topology is recommended in [1], which benefits from a series connection of sub-multilevel converters. In the procedure described in this reference, despite all the advantages, it is not possible to produce all the steps (odd and even) in the output. In addition, for producing an output voltage with a constant number of steps, there are different configurations with a different number of components. In this paper, the optimal structures for this topology are investigated for various objectives such as minimum number of switches and dc voltage sources and minimum standing voltage on the switches for producing the maximum output voltage steps. Two new algorithms for determining the dc voltage sources magnitudes have been proposed. Finally, in order to verify the theoretical issues, simulation and experimental results for a 49-level converter with a maximum output voltage of 200V are presented.

일치하지 않는 경계를 갖는 분리된 시스템을 위한 계면 요소법 (Interface element method (IEM) for a partitioned system with non-matching interfaces)

  • 김현규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.324-329
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    • 2001
  • A novel method for non-matching interfaces on the boundaries of the finite elements in partitioned domains is presented by introducing interface elements in this paper. The interface element method (IEM) satisfies the continuity conditions exactly through interfaces without recourse to the Lagrange multiplier technique. The moving least square (MLS) approximation in the present study is implemented to construct the shape functions of the interface elements. Alignment of the boundaries of sub-domains in the MLS approximation and integration domains provides a consistent numerical integration due to one form of rational functions in an integration domain. The compatibility of displacements on the boundaries of the finite elements and the interface elements is always preserved in this method, and the completeness of the shape functions of the interface elements guarantees the convergence of numerical solutions. The numerical examples show that the interface element method is a useful tool for the analysis of a partitioned system and for a global-local analysis.

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객체지향 데이터 모델을 이용한 다물체 동역학 해석 시스템 개발 (Development of a Multibody Dynamics Analysis System Using the Object-Oriented Data Model)

  • 박태원;송현석;서종휘;한형석;이재경
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1487-1490
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    • 2003
  • In this paper, the application of object-oriented Data Model to develop a multibody dynamic system, called O-DYN, is introduced. Mechanical components, such as bodies, joints, forces are modeled as objects which have data and method by using object-oriented modeling methodology. O-DYN, a dynamic analysis system, based on the object-oriented modeling concept is made in C++. One example is analyzed through the O-DYN, It is expected that the analysis program or individual module constructed in this paper would be useful for mechanical engineers in predicting the dynamic responses of multibody systems and developing an analysis program

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무요소법에서 가중함수를 수정한 필수경계조건 처리법 (Treatment of Essential Boundary Conditions using Modified Weight Functions in Meshless Method)

  • 강명석;윤성기
    • 대한기계학회논문집A
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    • 제24권11호
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    • pp.2705-2712
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    • 2000
  • In meshless methods some techniques to impose essential boundary conditions have been developed since the approximations do not satisfy Kronecker delta properties at nodal points. In this study, new scheme for imposing essential boundary conditions is developed. Weight functions are modified by multiplying with auxiliary weight functions and the resulting shape functions satisfy Kronecker delta property on the bound ary nodes. In addition, the resulting shape functions possess and interpolation features on the boundary segments where essential boundary conditions are prescribed. Therefore the essential boundary conditions can be exactly satisfied with the new method. More importantly, the impositions of essential boundary conditions using the present method is relatively easy as in finite element method. Numerical examples show that the method also retains high convergence rate comparable to Lagrange multiplier method.