• Title/Summary/Keyword: Curved linear

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Application of Numerical Differentiation in Structural Analysis (구조해석에서 수치미분의 적용)

  • 김영일;신성철;이태은;이병구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.53-58
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    • 2001
  • This paper deals with the application of numerical differentiation in the structural analysis. In the structural analysis, the derivative values of the given function are sometimes used in calculation of structural behaviors. For calculating the derivative values, both the time and labor are needed when the structures consist of non-linear geometries such as arches or curved beams. From this viewpoint the numerical differentiation scheme is applied into the structural analysis. The numerical results obtained from the numerical differentiation are agreed very well with those obtained from the exact derivatives by analytical method. It is expected that the numerical differentiation can be utilized practically in the structural analysis.

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Activation Changes of Hafnia alvei Aspartase by Acetic Anhydride

  • La, Im-Joung;Kim, Joung-Mok;Kim, Jeong-Rim;Kim, Ki-Tae;Kim, Jung-Sung;Yoon, Moon-Young
    • Bulletin of the Korean Chemical Society
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    • v.23 no.8
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    • pp.1057-1061
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    • 2002
  • The Hafnia alvei aspartase activity with acetic anhydride treatment gradually increased and reached 7.5-fold that of the native one. The activity of the acetylated aspartase was a little higher than that of the native enzyme, indicating that the cooperativity between a substrate and enzyme is increased. The optimum temperature of the native asparatse was $45^{\circ}C$, and that of the acetylated enzyme shifted to $40^{\circ}C.$ The pH vs. the activity profile of the acetylated asparatse was also different from that of the native enzyme. The initial velocity pattern of the acetylated aspartase intersects to the left of the ordinate, indicating the sequential kinetic mechanism other than a rapid equilibrium ordered one. The reciprocal plots for aspartate of the native aspartase were curved, but those of the acetylated aspartase were linear, indicating the Michaelis-Menten kinetics. The helical content of the acetylated aspartase was rather decreased to $9{\textperthousand}$ than that $(63{\textperthousand})$ of the native one.

Shape Design Sensitivity Analysis and Optimization of General Plane Arch Structures (일반 평면 아치 구조물의 형상설계민감도 해석 및 최적설계)

  • 최주호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.238-245
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    • 2000
  • A general formulation for shape design sensitivity analysis over a plane arch structure is developed based on a variational formulation of curved beam in linear elasticity. Sensitivity formula is derived using the material derivative concept and adjoint variable method for the stress defined at a local segment. Obtained sensitivity expression, which can be computed by simple algebraic manipulation of the solution variables, is well suited for numerical implementation since it does not involve numerical differentiation. Due to the complete description for the shape and its variation of the arch, the formulation can manage more complex design problems with ease and gives better optimum design than before. Several examples are taken to show the advantage of the method, in which the accuracy of the sensitivity is evaluated. Shape optimization is also conducted with two design problems to illustrate the excellent applicability.

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Shell Finite Element Based on B-Spline Representation for Finite Rotations (B-Spline 곡면 모델링을 이용한 기하비선형 쉘 유한요소)

  • 노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.429-436
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    • 2003
  • A new linkage framework between elastic shell element with finite rotation and computar-aided geometric design (CAGD) (or surface is developed in the present study. The framework of shell finite element is based on the generalized curved two-parametric coordinate system. To represent free-form surface, cubic B-spline tensor-product functions are used. Thus the present finite element can be directly linked into the geometric modeling produced by surface generation tool in CAD software. The efficiency and accuracy of the Previously developed linear elements hold for the nonlinear element with finite rotations. To handle the finite rotation behavior of shells, exponential mapping in the SO(3) group is employed to allow the large incremental step size. The integrated frameworks of shell geometric design and nonlinear computational analysis can serve as an efficient tool in shape and topological design of surfaces with large deformations.

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Buckling Analysis of Thin-Walled Curved Members by Finite Element Method (유한요소법에 의한 박판곡선부채의 좌굴해석)

  • Lee, Sung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.2
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    • pp.1-14
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    • 1991
  • A computer program for the linear elastic buckling anlalysis of thin walled members is developed using a 3-node triangular shell element. The element has real stiffness value for a kinematic degree of freedom associated with rotation about the surface normal at each node. The validity of the present computer program is demonstrated through the plate buckling analysis and the lateral-torsional buckling analysis of a straight beam. Then, simply supported circular arches subjected to uniform bending are analyzed and the results are compared with existing solutions.

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Vibration of mitred and smooth pipe bends and their components

  • Redekop, D.;Chang, D.
    • Structural Engineering and Mechanics
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    • v.33 no.6
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    • pp.747-763
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    • 2009
  • In this work, the linear vibration characteristics of $90^{\circ}$ pipe bends and their cylindrical and toroidal shell components are studied. The finite element method, based on shear-deformation shell elements, is used to carry out a vibration analysis of metallic multiple $90^{\circ}$ mitred pipe bends. Single, double, and triple mitred bends are considered, as well as a smooth bend. Sample natural frequencies and mode shapes are given. To validate the procedure, comparison of the natural frequencies is made with existing results for cylindrical and toroidal shells. The influence of the multiplicity of the bend, the boundary conditions, and the various geometric parameters on the natural frequency is described. The differential quadrature method, based on classical shell theory, is used to study the vibration of components of these bends. Regression formulas are derived for cylindrical shells (straight pipes) with one or two oblique edges, and for sectorial toroidal shells (curved pipes, pipe elbows). Two types of support are considered for each case. The results given provide information about the vibration characteristics of pipe bends over a wide range of the geometric parameters.

Free-Stream Turbulence Effect on the Heat (Mass) Transfer Characteristics on a Turbine Rotor Surface (자유유동 난류강도가 터빈 동익 표면에서의 열(물질)전달 특성에 미치는 영향)

  • Lee, Sang-Woo;Park, Jin-Jae;Kwon, Hyun-Goo;Park, Byung-Kyu
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1442-1446
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    • 2004
  • The heat (mass) transfer characteristics on the blade surface of a first-stage turbine rotor cascade has been investigated by employing the naphthalene sublimation technique. A four-axis profile measurement system is employed for the measurements of the local heat (mass) transfer coefficient on the curved blade surface. The experiments are carried out for two free-stream turbulence intensities of 1.2% and 14.7%. The high free-stream turbulence results in more uniform distributions of heat load on the both pressure and suction surfaces and in an early boundary-layer separation on the suction surface. The heat (mass) transfer enhancement on the suction surface due to the endwall vortices is found to be relatively small under the high free-stream turbulence.

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Equilibrium shape analysis of single layer structure by measure potential function

  • Ijima, Katsushi;Xi, Wei;Goto, Shigeo
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.775-784
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    • 1997
  • A unified theory is presented for the shape analysis of curved surface with a single layer structure composed by frame, membrane or shell. The shapes produced by the theory have no shear stress in elements, and the stress states in the whole shape are as uniform as possible under an ordinary load. The theory starts from defining an element potential function expressed by the measurement of the element length or the element area. Therefore, the shape analysis can produce various forms according to the definition of the potential function, and each of those form or the cable net form with the potential function of the second power of element length is simply gotten by the linear analysis. The form in tensile stress is mechanically equal to an isotropic tension form.

리엔트런트 패널의 전면볼록성에 대한 정량적 해석

  • Heo, Jeong-Min;Lee, Ji-Hwan
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.228-233
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    • 2016
  • Auxetic material is a material which has negative Poisson's ratio(NPR). Auxetic material shows some distinctive property like high energy absorbing property and high shear modulus. Among these, synclastic curvature is very interesting characteristic. When synclastic-curvature-material bends, it changes its shape like dome, contrary to non-auxetic material which changes its shape like saddle(anticlastic). This distinctive property could make it easy to manufacture curved structure like nose cone or wing panel in aerospace engineering. In this study, we studied a quantitative analysis about synclastic curvature of re-entrant panel with finite element model. We suggested a concept 'Degree of Synclasticity(DOS)', which means a ratio of curvature of load-direction and load-orthogonal direction. We studied the variation of DOS with two factor, unit cell inner angle(${\theta}$) and load position angle(${\phi}$). DOS decreases as ${\theta}$ increases because the unit cell goes out of auxetic-shape. As ${\phi}$ varies, DOS changes in a large range. So proper optimization of ${\phi}$ would be needed for application.

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Manufacturing and Application of the Flat-ways Spinned Cocoon (평면견의 제조와 용도모색)

  • 정병희;강경돈;이기훈;남중희
    • Journal of Sericultural and Entomological Science
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    • v.41 no.3
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    • pp.196-200
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    • 1999
  • The flat-ways spinned cocoon was prepared from the silkworm using flat and circular type cocooning frame. The spinning rate of the silkworm was 76.9% compared to the normal mounted silkworm. The arrangement of cocoon baves of the flat-ways spinned cocoon was more linear than the normal cocoon which is curved. To maintain the size-stability of the flat-ways spinned cocoon, degumming process was treated with enzymes. These flat-ways spinned cocoons could be used as padding materials for the thermal insulations and decoration uses for the traditional fan which the silkworms are mounted directly on the fan frame.

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