• Title/Summary/Keyword: principle of virtual work

검색결과 203건 처리시간 0.02초

박벽 공간 보-기둥과 뼈대구조의 자유진동 및 안정성 해석을 위한 일반이론 (General Theory for Free Vibration and Stability Analysis of Thin-walled Space Beam-Columns and Frames)

  • 김성보;구봉근;한상훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.239-246
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    • 1997
  • The general formulation of free vibration and stability analysis of unsymmetric thin-walled space frames and beam-columns is presented. The kinetic and total potential energy is derived by applying the extended virtual work principle, introducing displacement parameters defined at the arbitrarily chosen axis and including second order terms of finite semitangential rotations. In formulating the finite element procedure, cubic Hermitian polynomials are utilized as shape functions of the two node space frame element. Mass, elastic stiffness, and geometric stiffness matrices for the unsymmetric thin-walled section are evaluated. In order to illustrate the accuracy and practical usefulness of this formulation, finite element solutions for the free vibration and stability problems of thin-walled beam-columns and space frames are presented and compared with available solutions.

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자기시스템의 전자력 밀도 해석 (Electromagnetic Force Density Analysis of Magnetic System)

  • 이세희;최명준;김창욱;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 A
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    • pp.201-203
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    • 1997
  • As electromagnetic systems have the complexity and high performance, they should be designed to take into account the vibration, noise and strain of mechanical aspect as well as electrical problems. Until now, mechanical approaches have been tried to analyze the subject, but it is difficult to figure out the matter in mechanical consideration. Because they are mainly related to electromagnetic phenomena. This paper deals with the theories and numerical formulations of magnetic force density. Several methods are applied to an actuator and DC machine model to calculate magnetic force density. These results are compared with the total force obtained by maxwell stress tensor and virtual work principle.

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Stability of the porous orthotropic laminated composite plates via the hyperbolic shear deformation theory

  • Ferruh Turan
    • Steel and Composite Structures
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    • 제48권2호
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    • pp.145-161
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    • 2023
  • This study investigates the influences of porosity on the stability of the orthotropic laminated plates under uniaxial and biaxial loadings based on the hyperbolic shear deformation theory. Three different porosity distribution are considered with three specific functions through the plate thickness. The stability equations of porous orthotropic laminated plates are derived by the virtual work principle. Applying the Galerkin method to partial differential equations, the critical buckling load relation of porous orthotropic laminated plates is obtained. After validating the accuracy of the proposed formulation in accordance with the available literature, a parametric analysis is performed to observe the sensitivity of the critical buckling load to shear deformation, porosity, orthotropy, loading factor, and different geometric properties.

$C^1$보요소를 이용한 유연매체의 기하비선형 해석 (Geometric Nonlinear Analysis of Flexible Media Using $C^1$ Beam Element)

  • 지중근;홍성권;장용훈;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.326-329
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    • 2005
  • In the development of sheet-handling .machinery, it is important to predict the static and dynamic behavior of the sheets with a high degree of reliability because the sheets are fed and stacked at suck a high speed flexible media behaves geometric nonlinearity of large displacement and small strain. In this paper, static analysis of flexible media are performed by FEM considering geometric nonlinearity. Linear stiffness matrix and geometric nonlinear stiffness matrix based m the updated Lagrangian approach are derived using $C^1$ beam element and numerical simulations are performed by Updated Newton-Raphson(UNR) method.

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열유동학적으로 단순한 점탄성체의 유한요소해석 (Finite Element Analysis of Thermorheologically Simple Viscoelastic Solids)

  • 심우진;박인규
    • 전산구조공학
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    • 제9권1호
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    • pp.101-113
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    • 1996
  • 준-정적 선형 2차원 열점탄성 문제들의 유한요소해석을 위하여 가상일의 원리를 근거로 하여 새로운 변분공식과 유한요소방정식을 유도한다. 이때 점탄성 재료는 열유동학적으로 단순한 물성을 갖는다. T=T(x)일 경우에 유전적 강성행렬들의 효율적이고 단순화된 계산과정을 소개한다. 몇몇 예제를 해석하고 기존의 발표된 수치결과들과 비교 검토하여 정확성 및 경제성을 입증한다.

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Elastic analysis of pressurized thick truncated conical shells made of functionally graded materials

  • Ghannad, M.;Nejad, M. Zamani;Rahimi, G.H.;Sabouri, H.
    • Structural Engineering and Mechanics
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    • 제43권1호
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    • pp.105-126
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    • 2012
  • Based on the first-order shear deformation theory (FSDT), and the virtual work principle, an elastic analysis for axisymmetric clamped-clamped Pressurized thick truncated conical shells made of functionally graded materials have been performed. The governing equations are a system of nonhomogeneous ordinary differential equations with variable coefficients. Using the matched asymptotic method (MAM) of the perturbation theory, these equations could be converted into a system of algebraic equations with variable coefficients and two systems of differential equations with constant coefficients. For different FGM conical angles, displacements and stresses along the radius and length have been calculated and plotted.

최적 제어기법을 이용한 다관절 유연 로보트팔의 역동역학 해석 (Inverse Dynamic Analysis of A Flexible Robot Arm with Multiple Joints by Using the Optimal Control Method)

  • Kim, C.B.;Lee, S.H.
    • 한국정밀공학회지
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    • 제10권3호
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    • pp.133-140
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    • 1993
  • In this paper, we prpose a method for tracking optimally a spatial trajectory of the end-effector of flexible robot arms with multiple joints. The proposed method finds joint trajectories and joint torques necessary to produce the desired end-effector motion of flexible manipulator. In inverse kinematics, optimized joint trajectories are computed from elastic equations. In inverse dynamics, joint torques are obtained from the joint euqations by using the optimized joint trajectories. The equations of motion using finite element method and virtual work principle are employed. Optimal control is applied to optimize joint trajectories which are computed in inverse kinematics. The simulation result of a flexible planar manipulator is presented.

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층별변위 유한요소법에 기초한 점탄성층을 갖는 원통형 복합적층 패널의 진동해석 (Vibration Analyses of Cylindrical Hybrid Panel with Viscoelastic Layer Based on Layerwise Finite Elements)

  • 오일권;성태홍
    • 한국소음진동공학회논문집
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    • 제15권12호
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    • pp.1361-1369
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    • 2005
  • Based on a full layerwise displacement shell theory, the nitration and damping characteristics of cylindrical sandwiched panels with viscoelastic layers are investigated. The transverse shear deformation and the normal strain of the cylindrical hybrid panels are fully taken into account for the structural damping modelling. The present finite element model Is formulated by using Hamilton's virtual work principle and the cylindrical curvature of hybrid panels is exactly modeled. Modal loss factors and frequency response functions are analyzed for various structural parameters of cylindrical sandwich panels. Present results show that the full layerwise finite element method can accurately predict the vibration and damping characteristics of the cylindrical hybrid panels with surface damping treatments and constrained layer damping.

불균일한 공극길이에서의 스위치드 리럭턴스 모터 토오크 특성 (Torque Characteristics of Switched Reluctance Motor in Nonuniform airgap field)

  • 정도영;이상호;오흥석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 A
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    • pp.188-190
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    • 1999
  • This paper analyzed the static torque of SRM according to the variation of airgap length using Finite Element Method. The normal and tangential components of flux density are analyzed at uniform airgap field which sap length is 0.3[mm] and nonuniform airgap which gap lengths are 0.2-0.4[mm] and 0.4-0.2[mm]. Also their static torques were simulated by using Virtual Work Principle. We expect that their parameters will help for the design of Switched Reluctance Motor.

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층별변위 유한요소법에 기초한 점탄성층을 갖는 원통형 복합적층 패널의 진동해석 (Vibration Analyses of Cylindrical Hybrid Panel With Viscoelastic Layer Based On Layerwise Finite Elements)

  • 오일권;성태홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.772-778
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    • 2005
  • Based on a full layerwise displacement shell theory, the vibration and damping characteristics of cylindrical sandwiched panels with viscoelastic layers are investigated. The transverse shear deformation and the normal strain of the cylindrical hybrid panels are fully taken into account for the structural damping modelling. The present finite element model is formulated by using Hamilton's virtual work principle and the cylindrical curvature of hybrid panels is exactly modeled. Modal loss factors and frequency response functions are analyzed for various structural parameters of cylindrical sandwich panels. Present results show that the full layerwise finite element method can accurately predict the vibration and damping characteristics of the cylindrical hybrid panels with surface damping treatments and constrained layer damping.

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