• Title/Summary/Keyword: 動的 平衡方程式

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Nonlinear Dynamic Analysis of Deep Water Riser by the Utilization on the Kinematic Constraint Condition (운동학적 제약조건을 이용한 심해저 라이저의 비선형 동적해석)

  • 홍남식
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.495-508
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    • 1999
  • 변형된 라이저의 단위 접선벡터상의 운동학적 제약조건을 적용하여 심해저 라이저의 비선형 동적해석을 행한다. 이 조건의 적용으로 자유도수를 감소시킬 수 있으며 심한 비선형성으로 인한 해의 발산 가능성을 제거할 수 있다. 라이저의 거대변형으로 인한 기하학적 비선형성과 비선형 경계조건이 고려된다. 또한, 비선형성이 포함되는 수동학적 하중이 조류와 파랑에 의해 발생하여 내부에 정상류가 흐르는 라이저관의 외벽에 작용하게 된다. 이 외에도라이저 자체의 축방향 변형조건을 고려한다. Galerkin의 유한요소 근사화와 시간증분자를 적용하여 유한요소에 대한 평형 메트릭스 방정식을 유도하고, 수치해석을 위한 알고리즘을 제안하며 API 보고서의 결과와 비교함으로써 제안된 모델이 검증된다. 또한, 기하학적 비선형성으로 인한 영향을 조사하였다.

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A Dynamic Simulation for Small Turbushaft Engine with Free Power Turbine Using the CMF Method (CMF 기법을 이용한 소형 분리축 방식 터보축 엔진의 동적모사)

  • 공창덕;기자영;고광웅
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1998.04a
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    • pp.11-11
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    • 1998
  • 다목적으로 활용할 수 있는 터보축 엔진의 개발을 위한 정상상태 및 동적모사 프로그램을 개발하였다. 개발비, 개발시간, 개발위험도의 절감을 위해 가스발생기 부분은 성능이 잘 알려진 기존의 터보제트 엔진을 활용하였으며 약 3000hr 이상의 수명을 확보하기 위해 터빈재질을 교체하고, Larson-Miller 곡선을 이용하여 최대회전속도와 최대 터빈 입구온도를 각각 35000 RPM과 1140 K의 결정하였다 추가되는 동력터빈의 구성품 성능선도는 압축기 터빈 성능선도를 축척하여 사용하였다. 정상상태 성능해석에는 유량 및 일평형 방정식을 이용하였으며, 동력터빈이 각각 73%, 80%, 90%, 100% RPM일 때 가스발생기를 75%(24500 RPM)에서 100%(35000 RPM)까지 5% 간격으로 나누어 계산을 수행하였다.

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Analysis of Unsteady Propagation of Mode III Crack in Arbitrary Direction in Functionally Graded Materials (함수구배재료에서 임의의 방향을 따라 비정상적으로 전파하는 모드 III 균열해석)

  • Lee, Kwang Ho;Cho, Sang Bong;Hawong, Jai Sug
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.2
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    • pp.143-156
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    • 2015
  • The stress and displacement fields at the crack tip were studied during the unsteady propagation of a mode III crack in a direction that was different from the property graduation direction in functionally graded materials (FGMs). The property graduation in FGMs was assumed based on the linearly varying shear modulus under a constant density and the exponentially varying shear modulus and density. To obtain the solution of the harmonic function, the general partial differential equation of the dynamic equilibrium equation was transformed into a Laplace equation. Based on the Laplace equation, the stress and displacement fields, which depended on the time rates of change in the crack tip speed and stress intensity factor, were obtained through an asymptotic analysis. Using the stress and displacement fields, the effects of the angled property variation on the stresses, displacements, and stress intensity factors are discussed.

Undamped Dynamic Response of Anisotropic Laminated Composite Plates and Shell Structures using a Higher-order Shear Deformation Theory (비등방성 복합적층판 및 쉘의 고차전단변형을 고려한 비감쇄 동적응답)

  • Yoon, Seok Ho;Han, Seong Cheon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.9 no.3 s.32
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    • pp.333-340
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    • 1997
  • This paper will expand the third-order shear deformation theory by the double-Fourier series and reduce to the solution of a system of ordinary differential equations in time, which are integrated numerically using Newmark's direct integration method and clarify the undamped dynamic responses for the cross-ply and antisymmetric angle-ply laminated composite plates and shells with simply supported boundary condition. Numerical results for deflections are presented showing the effect of side-to-thickness ratio, aspect ratio, material anisotropy, and lamination scheme.

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Numerical Analysis for Nonlinear Static and Dynamic Responses of Floating Crane with Elastic Boom (붐(Boom)의 탄성을 고려한 해상크레인의 비선형 정적/동적 거동을 위한 수치 해석)

  • Cha, Ju-Hwan;Park, Kwang-Phil;Lee, Kyu-Yeul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.4
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    • pp.501-509
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    • 2010
  • A floating crane is a crane-mounted ship and is used to assemble or to transport heavy blocks in shipyards. In this paper, the static and dynamic response of a floating crane and a heavy block that are connected using elastic booms and wire ropes are described. The static and dynamic equations of surge, pitch, and heave for the system are derived on the basis of flexible multibody system dynamics. The equations of motion are fully coupled and highly nonlinear since they involve nonlinear mass matrices, elastic stiffness matrices, quadratic velocity vectors, and generalized external forces. A floating frame of reference and nodal coordinates are employed to model the boom as a flexible body. The nonlinear hydrostatic force, linear hydrodynamic force, wire-rope force, and mooring force are considered as the external forces. For numerical analysis, the Hilber-Hughes-Taylor method for implicit integration is used. The dynamic responses of the cargo are analyzed with respect to the results obtained by static and numerical analyses.

Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements (박벽보-기둥 요소의 개선된 정적 요소강성행렬)

  • Yun, Hee Taek;Kim, Nam Il;Kim, Moon Young;Gil, Heung Bae
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.509-518
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    • 2002
  • In order to perform the spatial buckling and static analysis of the nonsymmetric thin-walled beam-column element, improved exact static stiffness matrices were evaluated using equilibrium equation and force-deformation relationships. This numerical technique was obtained using a generalized linear eigenvalue problem, by introducing 14 displacement parameters and system of linear algebraic equations with complex matrices. Unlike the evaluation of dynamic stiffness matrices, some zero eigenvalues were included. Thus, displacement parameters related to these zero eigenvalues were assumed as polynomials, with their exact distributions determined using the identity condition. The exact displacement functions corresponding to three loadingcases for initial stress-resultants were then derived, by consistently combining zero and nonzero eigenvalues and corresponding eigenvectors. Finally, exact static stiffness matrices were determined by applying member force-displacement relationships to these displacement functions. The buckling loads and displacement of thin-walled beam were evaluated and compared with analytic solutions and results using ABAQUS' shell element or straight beam element.

A Dynamic Simulation for Small Turboshaft Engine with Free Power Turbine Using The CMF Method (CMF 기법을 이용한 소형 분리축 방식 터보축 엔진의 동적모사)

  • 공창덕;기자영
    • Journal of the Korean Society of Propulsion Engineers
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    • v.2 no.1
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    • pp.13-20
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    • 1998
  • A steady-state and dynamic simulation program for a small multi-purpose turboshaft engine with the free power turbine was developed. In order to reduce developing cost, time and risk, a turbojet engine whose performance was well-known was used for the gas generator, and life time was improved by replacing turbine material and by using Larson-Miller curves. The component characteristic of the power turbine was derived from scaling the gas generator turbine. Equilibrium equations of mass flow rate and work were used for the steady-state performance analysis, and the Constant Flow Method(CMF) was used for the dynamic performance simulation. The step fuel scheduling was carried out for acceleration in the dynamic simulation. Through this simulation, it was found that the overshoot of the turbine inlet temperature exceeded over the compressor turbine limit temperature.

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Dynamic Stability of a Damaged Ship in Beam Wind and Waves (손상된 선박의 횡풍.횡파중에서의 동적 안정성)

  • K.H. Sohn;S.G. Lee;K.S. Choi;Y.S. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.1
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    • pp.50-59
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    • 2000
  • This paper presents a brief outline of dynamic stability of a damaged ship at final stage of flooding in rough beam wind and waves. One degree-of-freedom, roll equation is adopted with effects of flooding water and external forces due to wind and waves, but without effect of sloshing. We discuss the dynamic stability of the damaged ship in terms of capsizing probability based on risk analysis, the method of which was firstly proposed by Umeda et al.[6] to high speed craft in intact condition. As a result, we can evaluate the dynamic stability of the damaged ship in probabilistic manner according to sea state, operating condition and damage situation.

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Material model optimization for dynamic recrystallization of Mg alloy under elevated forming temperature (마그네슘 합금의 온간 동적재결정 구성방정식 최적화)

  • Cho, Yooney;Yoon, Jonghun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.6
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    • pp.263-268
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    • 2017
  • A hot forming process is required for Mg alloys to enhance the formability and plastic workability due to the insufficient formability at room temperature. Mg alloy undergoes dynamic recrystallization (DRX) during the hot working process, which is a restoration or softening mechanism that reduces the dislocation density and releases the accumulated energy to facilitate plastic deformation. The flow stress curve shows three stages of complicated strain hardening and softening phenomena. As the strain increases, the stress also increases due to work hardening, and it abruptly decreases work softening by dynamic recrystallization. It then maintains a steady-state region due to the equilibrium between the work hardening and softening. In this paper, an efficient optimization process is proposed for the material model of the dynamic recrystallization to improve the accuracy of the flow curve. A total of 18 variables of the constitutive equation of AZ80 alloy were systematically optimized at an elevated forming temperature($300^{\circ}C$) with various strain rates(0.001, 0.1, 1, 10/sec). The proposed method was validated by applying it to the constitutive equation of AZ61 alloy.

Seismic Analysis for Performance Assessment of Precast Segmental PSC Bridge Columns (프리캐스트 세그먼트 PSC 교각의 성능평가를 위한 지진해석)

  • Kim, Tae-Hoon;Park, Se-Jin;Kim, Young-Jin;Shin, Hyun-Mock
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.2
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    • pp.15-27
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    • 2009
  • The purpose of this study is to investigate the seismic behavior of precast segmental PSC bridge columns. For the analysis of reinforced concrete structures, a computer program named RCAHEST (Reinforced Concrete Analysis in Higher Evaluation System Technology) is used. To represent the interaction between tendon and concrete of a prestressed concrete member, a bonded or unbonded tendon element based on the finite element method is used. A joint element is modified to predict the inelastic behaviors of segmental joints. The solution of the equations of motion is obtained by numerical integration using Hilber-Hughes-Taylor (HHT) algorithm. The proposed numerical method gives a realistic prediction of seismic behavior throughout the input ground motions for numerical examples.