• 제목/요약/키워드: Principle plane

검색결과 307건 처리시간 0.028초

Effect of Three-dimensional Warping on Stiffness Constants of Closed Section Composite Beams

  • Dhadwal, Manoj Kumar;Jung, Sung Nam
    • International Journal of Aeronautical and Space Sciences
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    • 제18권3호
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    • pp.467-473
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    • 2017
  • This paper focuses on the investigation of three-dimensional (3D) warping effect on the stiffness constants of composite beams with closed section profiles. A finite element (FE) cross-sectional analysis is developed based on the Reissner's multifield variational principle. The 3D in-plane and out-of-plane warping displacements, and sectional stresses are approximated as linear functions of generalized sectional stress resultants at the global level and as FE shape functions at the local sectional level. The classical elastic couplings are taken into account which include transverse shear and Poisson deformation effects. A generalized Timoshenko level $6{\times}6$ stiffness matrix is computed for closed section composite beams with and without warping. The effect of neglecting the 3D warping on stiffness constants is shown to be significant indicating large errors as high as 93.3%.

회전하는 얇은 링의 진동해석을 위한 비선형 모델링 (Non-linear Modelling for the Vibration Analysis of a Rotating Thin Ring)

  • 김원석;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
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    • pp.319-324
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    • 2001
  • Free non-linear vibration of a rotating thin ring with a constant speed is analyzed when the ring has both the in-plane and out-of-plane motions. The geometric non-linearity of displacements is considered by adopting the Lagrange strain theory for the circumferential strain. By using Hamilton's principle, the coupled non-linear partial differential equations are derived, which describe the out-of-plane and in-plane bending, extensional and torsional motions. The natural frequencies are calculated from the linearized equations at various rotational speeds. Finally, the computation results from three non-linear models are compared with those from a linear model. Based on the comparison, this study recommends which model is appropriate to describe the non- linear behavior more precisely.

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유체를 이송하는 양단 고정된 반원관의 면내/면외 진동 특성 (Vibration Characteristics of a Semi-circular Pipe Conveying Fluid with Both Ends Clamped)

  • 정두한;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.252-257
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    • 2004
  • Free vibration of a semi-circular pipe conveying fluid is analyzed when the pipe is clamped at both ends. To consider the geometric non-linearity, this study adopts the Lagrange strain theory and the extensibility of the pipe. By using the extended Hamilton principle, the non-linear partial differential equations are derived, which are coupled to the in-plane and out-of\ulcornerplant: motions. To investigate the vibration characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies are computed from the linearized equations of motion in the neighborhood of the equilibrium position. From the results. the natural frequencies for the in-plane and out-of-plane motions are vary with the flow velocity. However, no instability occurs the semi-circular pipe with both ends clamped, when taking into account the geometric non-linearity explained by the Lagrange strain theory.

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A 2D hybrid stress element for improved prediction of the out-of-plane fields using Fourier expansion

  • Feng, M.L.;Dhanasekar, M.;Xiao, Q.Z.
    • Structural Engineering and Mechanics
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    • 제13권5호
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    • pp.491-504
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    • 2002
  • Recently we formulated a 2D hybrid stress element from the 3D Hellinger-Reissner principle for the analysis of thick bodies that are symmetric to the thickness direction. Polynomials have typically been used for all the displacement and stress fields. Although the element predicted the dominant stress and all displacement fields accurately, its prediction of the out-of-plane shear stresses was affected by the very high order terms used in the polynomials. This paper describes an improved formulation of the 2D element using Fourier series expansion for the out-of-plane displacement and stress fields. Numerical results illustrate that its predictions have markedly improved.

내부유동을 포함한 굴곡된 파이프의 외평면 진동해석 (Out-of-Plane Vibrations of Angled Pipes Conveying Fluid)

  • Pak, chol-Hui;Hong, Sung-Chul;Kim, Tae-Ryong
    • Nuclear Engineering and Technology
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    • 제23권3호
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    • pp.306-315
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    • 1991
  • 본 연구는 두개의 직선 pipe가 elbow로 연결된 piping system의 내부에 유체가 흐를때 발생하는 out-of-plane 운동을 다루었으며, Extended Hamilton's principle을 이용하여 운동방정식을 유도하였다. clamped-clamped, clamped-pinned; pinned-pinned인 경계조건을 갖는 piping system의 경우, dynamic instability는 일어나지 않음을 고찰하였으며, 각 경계조건에 대한 진동수 방정식으로부터 고유진동수의 수치해를 얻었다. 유체의 속도와 Coriolis힘이 진동수에 미치는 영향을 고찰하였고, 유체의 속도와 압력이 어느값을 넘어설때 buckling-type instability가 일어남을 알았다. 그리고 유체의 속도와 압력의 함수로 등가임계속도를 정의하고 여러가지 경계조건에 대해 buckling 이 일어나는 등가임계속도를 계산하였다.

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압축잔류응력장을 전파하는 피로균열의 개구거동의 유한요소법을 이용한 해석적 검토 (An Analysis of the Fatigue Crack Opening Behaviour in the Welding Residual Stress Field by the Finite Element Method)

  • 박응준;김응준;유승현
    • Journal of Welding and Joining
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    • 제21권6호
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    • pp.77-83
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    • 2003
  • The finite element analysis was performed for the cracks existing in residual stress fields in order to investigate the effects of configuration of residual stress distribution to the fatigue crack opening behaviour. And the variation of stress distributions adjacent to the crack caused by uploading was examined. The finite element model with contact elements for the crack plane and plane stress elements for the base material and the analytical method based on the superposition principle to estimate crack opening behaviour and the stress distribution adjacent to the crack subjected to uploading were used. The results of the analysis showed that crack opening behaviors and variations of stress distribution caused by uploading were changed depending on the configuration of residual stress distribution. When the crack existed in the region of compressive residual stress and the configuration of compressive residual stress distribution were inclined, a partial crack opening just behind of a crack tip occurred during uploading. Based on the above results, it was clarified that the crack opening behaviour in the residual stress field could be predicted accurately by the finite element analysis using these analytical method and model.

남자 한복바지구성의 상징성 연구 - 도식을 중심으로 - (A Study of Symbolism in the Composition of Korean Men's Trousers Interpreted with Figures)

  • 정옥임;김경희
    • 복식문화연구
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    • 제11권3호
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    • pp.367-374
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    • 2003
  • When analyzing forms in the human body and clothes, we conceptualize each part into a cone, sphere, and cylinder, and the esthetic characteristics of our fashion culture and esthetic fashion characteristics of Koreans are composed by expressing with universal images such as circle, square, and triangle when forms are expressed in a plane. To determine how the structural principle of shapes that are the shapes of all things and basic to geometry, i.e., circle, square, and triangle, applies to clothes that cloth our body called the small cosmos, we discussed the symbolic meaning hidden inside the structure of Korean clothes based on the basic pattern drafting method of Korean men’s traditional trousers. We drew the conclusion that Korean men's trousers composed of circles, triangles, and squares express the five elements diagram through their plane structure, are designed in circles with cones and pyramids, and are made to well express the principle of the small cosmos of our body. Moreover, when the basic pattern of Korean men’s trousers explained with the antipathy diagram is viewed to create all things while maintaining opposite and complementary relationship with Sangsang (mutually benefitting factor), it would be correct to say that the principle of the top verse the bottom is viewed as conflicting. From the structural point of view, since the philosophy of the Samsu principle (the principle of 1, 2 and 3 in which 1 represents the heaven, 2 represents the earth, and 3 represents the people) is hidden in Korean men's trousers in which Hurimalgi (the part of trousers corresponding to the waist band of Western pants) is the circle representing the heaven, Marupok is the square representing the earth, and Sapok is the triangle representing the people, we could look at deep meaning of our ancestors expressed in our clothes.

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Wafer Level Vacuum Packaged Out-of-Plane and In-Plane Differential Resonant Silicon Accelerometers for Navigational Applications

  • Kim, Illh-Wan;Seok, Seon-Ho;Kim, Hyeon-Cheol;Kang, Moon-Koo;Chun, Kuk-Jin
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제5권1호
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    • pp.58-66
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    • 2005
  • Inertial-grade vertical-type and lateral-type differential resonant accelerometers (DRXLs) are designed, fabricated using one process and tested for navigational applications. The accelerometers consist of an out-of-plane (for z-axis) accelerometer and in-plane (for x, y-axes) accelerometers. The sensing principle of the accelerometer is based on gap-sensitive electrostatic stiffness changing effect. It says that the natural frequency of the accelerometer can be changed according to an electrostatic force on the proof mass of the accelerometer. The out-of-plane resonant accelerometer shows bias stability of $2.5{\mu}g$, sensitivity of 70 Hz/g and bandwidth of 100 Hz at resonant frequency of 12 kHz. The in-plane resonant accelerometer shows bias stability of $5.2{\mu}g$, sensitivity of 128 Hz/g and bandwidth of 110 Hz at resonant frequency of 23.4 kHz. The measured performances of two accelerometers are suitable for an application of inertial navigation.

해석적 비용함수와 최대원리리에 의한 양수운전을 포함하는 최적전원계획 (Optimal Generation Planning Including Pumped-Storage Plant Based on Analytic Cost Function and Maximum Principle)

  • 박영문;이봉용
    • 대한전기학회논문지
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    • 제34권8호
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    • pp.308-316
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    • 1985
  • This paper proposes an analytic tool for long-term generation expansion planning based on the maximum principle. Many research works have been performed in the field of generation expansion planning. But few works can be found with the maxinmum principle. A recently published one worked by professor Young Moon Park et al. shows remarkable improvements in modeling and computation. But this modeling allows only thermal units. This paper has extended Professor Park's model so that the optimal pumped-storage operation is taken into account. So the ability for practical application is enhanced. In addition, the analytic supply-shortage cost function is included. The maximum principle is solved by gradient search due to its simplicity. Every iteration is treated as if mathematical programming such that all controls from the initial to the terminal time are manipulated within the same plane. Proposed methodology is tested in a real scale power system and the simulation results are compared with other available package. Capability of proposed method is fully demonstrated. It is expected that the proposed method can be served as a powerful analytic tool for long-term generation expansion planning.

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