• 제목/요약/키워드: Arc-length method

검색결과 182건 처리시간 0.02초

Vibration and Post-buckling Behavior of Laminated Composite Doubly Curved Shell Structures

  • Kundu, Chinmay Kumar;Han, Jae-Hung
    • Advanced Composite Materials
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    • 제18권1호
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    • pp.21-42
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    • 2009
  • The vibration characteristics of post-buckled laminated composite doubly curved shells are investigated. The finite element method is used for the analysis of post-buckling and free vibration of post-buckled laminated shells. The geometric non-linear finite element model includes the general non-linear terms in the strain-displacement relationships. The shell geometry used in the present formulation is derived using an orthogonal curvilinear coordinate system. Based on the principle of virtual work the non-linear finite element equations are derived. Arc-length method is implemented to capture the load-displacement equilibrium curve. The vibration characteristics of post-buckled shell are performed using tangent stiffness obtained from the converged deflection. The code is first validated and then employed to generate numerical results. Parametric studies are performed to analyze the snapping and vibration characteristics. The relationship between loads and fundamental frequencies and between loads and the corresponding displacements are determined for various parameters such as thickness ratio and shallowness.

Modal Analysis법에 의한 무주대공간 구조물의 좌굴해석 (Buckling Analysis of the Large Span Spatial Structures by Modal Analysis)

  • 한상을;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.195-201
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    • 1996
  • This paper is mainly forcused on the application of modal analysis In analyze the geometrically non-linear buckling behaviors of large span spatial structures, and the evaluation of each eigen mode affected post-buckling behaviors and buckling loads. Modal analysis is applied . to derivation of the system matrices transforming actual displacement space into generalized coordinates space represented by coefficients multiplied in the linear combination of eigen modes which are independent and orthogonal each other. By using modal analysis method, it will be expected to save the calculating time by computer extremely. For example, we can obtain the satisfactorily good results by using about 7% of total eigen modes only in case of single layer latticed dome. And we can decrease the possibility of divergence on the bifurcation point in the calculation of post-buckling path. Arc-length method and Newton-Raphson iteration method are used to calculate the nonlinear equilibrium path.

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초기처짐형상에 따른 판부재의 천이거동에 관한 연구 (A Study on the Snap-through Behaviour According to the Initial Deflection Shape of Plate Members)

  • 고재용;이계희;박주신
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.348-356
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    • 2003
  • Recently, the buckling is easy to happen a thin plate and High Tensile Steel is used at the steel structure and marine structure so that it is wide. Especially, the post-buckling is becoming important design criteria in the ship structure to use especially the High Tensile Steel. Consequently, it is important that we grasp the conduct post-buckling behaviour accurately at the stability of the ship structure or marine structure. In this study, examined closely about conduct and snap-through behaviour after initial buckling of thin plate structure which apply compressive load according to various kinds initial deflection shape under all edges simply supported condition that make by buckling formula in each payment in advance rule to place which is representative construction of hull. Analysis method is F.E.M in used ANSYS program and complicated nonlinear behaviour to analyze such as secondary buckling with snap-through behaviour. Nonlinear buckling control is applied between newton-raphson method and arc-length method in this study

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Free vibration analysis of rotating cantilever plates using the p-version of the finite element method

  • Hamza-Cherif, Sidi Mohammed
    • Structural Engineering and Mechanics
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    • 제22권2호
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    • pp.151-167
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    • 2006
  • A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material

  • Nguyen, Dinh-Kien;Gan, Buntara S.;Trinh, Thanh-Huong
    • Structural Engineering and Mechanics
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    • 제49권6호
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    • pp.727-743
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    • 2014
  • Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material (FGM) by using the finite element method is presented. The material property of the structures is assumed to be graded in the thickness direction by a power law distribution. A nonlinear beam element based on Bernoulli beam theory, taking the shift of the neutral axis position into account, is formulated in the context of the co-rotational formulation. The nonlinear equilibrium equations are solved by using the incremental/iterative procedure in a combination with the arc-length control method. Numerical examples show that the formulated element is capable to give accurate results by using just several elements. The influence of the material inhomogeneity in the geometrically nonlinear behavior of the FGM beam and frame structures is examined and highlighted.

A numerical analysis of the large deflection of an elastoplastic cantilever

  • Wang, B.;Lu, G.;Yu, T.X.
    • Structural Engineering and Mechanics
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    • 제3권2호
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    • pp.163-172
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    • 1995
  • A simple numerical method is applied to calculate the large deflection of a cantilever beam under an elastic-plastic deformation by dividing the deformed axis into a number of small segments. Assuming that each segment can be approximated as a circular arc, the method allows large deflections and plastic deformation to be analyzed. The main interests are the load-deflection relationship, curvature distribution along the beam and the length of the plastic region. The method is proved to be easy and particularly versatile. Comparisons with other studies are given.

함정용 추진전동기 코깅 토크 저감에 관한 연구 (The Study on Reducing Cogging Torque of Propulsion Motor for Electric Ship)

  • 빈재구
    • 한국군사과학기술학회지
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    • 제8권3호
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    • pp.18-23
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    • 2005
  • Ships have been propelled and maneuvered by electrical drives since trle late seventies. Recently, rare earth PMs allow the design of brushless motors with very high efficiency over a wide speed range. This is the most important factor in ship propulsion technology. Several types PM motors have been developing for ship propulsion system. However these have disadvantage such as cogging torque. It causes an undesired effect that contributes to output ripple, vibration, and noise of machine. Therefore several techniques may be adopted in designing PM motor in order to reduce the cogging torque. This paper describes cogging torque receding methods such as adjusting arigap length, magnet arc, and magnet thickness. That are analysed by using the finite element method(FEM) and the maxwell stress tensor method.

Minimization of Torque Ripple for an IPMSM with a Notched Rotor Using the Particle Swarm Optimization Method

  • Shin, Pan Seok;Kim, Ho Youn;Kim, Yong Bae
    • Journal of Electrical Engineering and Technology
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    • 제9권5호
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    • pp.1577-1581
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    • 2014
  • This paper presents a method to minimize torque ripple of a V-type IPMSM using the PSO (Particle Swarm Optimization) method with FEM. The proposed algorithm includes one objective function and three design variables for a notch on the surface of a rotor. The simulation model of the V-type IPMSM has 3-phases, 8-poles and 48 slots with 2 notches on the one-pole rotor surface. The arc-angle, length and width of the notch are optimized to minimize the torque ripple of the motor. The cogging torque of the model is reduced by 55.6% and the torque ripple is decreased by 15.5 %. Also, the efficiency of the motor is increased by 15.5 %.

A Study for Optimal Dose Planning in Stereotactic Radiosurgery

  • Suh, Tae-suk
    • 한국의학물리학회지:의학물리
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    • 제1권1호
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    • pp.23-29
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    • 1990
  • In order to explane the stereotactic procedure, the three steps of the procedure (target localization, dose planning, and radiation treatment) must be examined separately. The ultimate accuracy of the full procedure is dependent on each of these steps and on the consistancy of the approach The concern in this article was about dose planning, which is a important factor to the success of radiation treatment. The major factor in dose planning is a dosimetry system to evaluate the dose delivered to the target and normal tissues in the patient, while it generates an optimal dose distribution that will satisfy a set of clinical criteria for the patient. A three-dimensional treatment planning program is a prerequisite for treatment plan optimization. It must cover 3-D methods for representing the patient, the dose distributions, and beam settings. The major problems and possible modelings about 3-D factors and optimization technique were discussed to simplify and solve the problems associatied with 3-D optimization, with relative ease and efficiency. These modification can simplify the optimization problem while saving time, and can be used to develop reference dose planning system to prepare standard guideline for the selection of optimum beam parameters, such as the target position, collimator size, arc spacing, the variation in arc length and weight. The method yields good results which can then be simulated and tailored to the individual case. The procedure needed for dose planning in stereotactic radiosurgery is shown in figure 1.

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반복하중을 받는 철근콘크리트 전단벽의 비선형 유한요소 해석 (Nonlinear Finite Element Analysis of RC Shear Walls under Cyclic Loadings)

  • 곽효경;김도연
    • 한국전산구조공학회논문집
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    • 제16권4호
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    • pp.353-367
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    • 2003
  • 이 논문에서는 단조증가하중 하에서 철근콘크리트 전단벽의 수치해석을 위해 개발된 재료모델을 반복하중을 포함한 일반적인 하중 하에서의 구조 거동을 효과적으로 모사하기 위한 해석모델로 확장하여 제안하고 있다. 먼저 재료모델을 구성함에 있어 하중이력에 따라 인장과 압축이 교대로 작용하는 콘크리트는 기본적으로 회전균열모델을 따르는 직교이방성 재료로써 가정하였고, 직교하는 축에 대해 인장과 압축을 오가는 이력곡선을 중심으로 등가의 일축응력-변형률 관계를 정의하였다. 나아가 철근은 평균응력-변형률 개념을 통해 단조증가 상태의 응력-변형률 관계를 구성하였고, 역전된 반복하중으로 인해 발생하는 Bausc-hinger 효과를 고려하여 이력곡선을 정의하였으며, 전단 효과를 고려하기 위해 전단지간 비에 따라 기존에 제안된 이력곡선을 수정하였다. 특히 해석과정의 효율성을 도모하고 변형연화 거동특성 등 일반적인 하중-변위 평형경로를 갖는 철근콘크리트 구조물의 비선형 해석을 위해 arc-length 기법을 도입하였다. 또한 제안된 수치해석모델에 대한 효율성을 검증하기 위해 요소단위의 철근콘크리트 판넬 시험체와 대표적인 전단벽 시험체의 반복하중 이력에 따른 하중-변위 관계 등 전단에 의해 지배를 받는 구조체에 대한 해석 결과와의 비교가 이루어졌다.