• Title/Summary/Keyword: warping deformation

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Transverse Shear Behavior of Thin-Walled Composite Beams Using a Mixed Method (혼합법을 이용한 박벽 복합재료 보의 전단변형거동 해석)

  • Park, Il-Ju;Jeong, Sung-Nam
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.11a
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    • pp.194-197
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    • 2005
  • In this work, a mixed beam approach is performed to identify the transverse shear behavior of thin-walled composite beams with closed cross-sections. The analytical model includes the effects of elastic couplings, shell wall thickness, and torsion warping. The distributions of shear flow across the section as well as the shear correction coefficients are obtained in a closed form in the beam formulation. The influence of transverse shear deformation on the static behavior of closed cross-section composite beams is also investigated in the analysis

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Alleviating Deformation of MEMS Structure in Surface Micromachining (표면미세가공시 발생하는 MEMS 구조물의 변형 억제)

  • Hong Seok-Kwan;Kweon Soon-Cheol;Jeon Byung-Hee;Shin Hyung-Jae
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.8 s.185
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    • pp.163-170
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    • 2006
  • By removing sacrificial layer through ashing process, movable MEMS structure on substrate can be fabricated in surface micromachining. However, MEMS structure includes, during the ashing process, the warping or buckling effects due to stress gradient along the vertical direction of thin film. In this study, we presented method for counteracting the unwanted deflection of MEMS structure and designed using character of deposit process to overcome limited design conditions. Unit cell patterns were designed with character of deposit shape, and their final shapes were adopted using Finite Element Method. Finally, RF MEMS switch was fabricated by surface micro machining as test vehicles. We checked out that alleviation effect for deformation of switch improved by 35%.

Strategy to increase distortional rigidity of crane box girder: Staggered truss diaphragm

  • Yangzhi Ren;Wenjing Guo;Xuechun Liu;Bin Wang;Piyong Yu;Xiaowen Ji
    • Structural Engineering and Mechanics
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    • v.86 no.4
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    • pp.461-472
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    • 2023
  • This paper proposes a novel method for increasing the distortional frame rigidity of off-rail box girder bridges for cranes by reinforcing the diaphragm with staggered truss. The study starts by using the Matrix Displacement Method to determine the shear angle of the staggered truss diaphragm under two assumptions: hinge joint and rigid joint. To obtain closed-form solutions for the transversal and longitudinal deformations and warping stress of the crane girder, the study employs the Initial Parameter Method and considers the compatibility of shear deformation at joints between the diaphragms and the girder. The theoretical solutions are validated through finite element analysis, which also confirms that the hinge-joint assumption accurately represents the shear angle of the staggered truss diaphragm in girder distortion. Additionally, the study conducts extensive parameter analyses to examine the impact of staggered truss dimensions on distortional stress and deformation. Furthermore, the study compares the distortional warping stresses of crane girders reinforced with staggered truss diaphragms and those reinforced with perforated ones, emphasizing the importance of incorporating stagger truss in diaphragms. Overall, this paper provides a thorough evaluation of the proposed approach's effectiveness in enhancing the distortional frame rigidity of off-rail box girder bridges for cranes. The findings offer valuable insights into the design and reinforcement of diaphragms using staggered truss to enhance the structural performance of crane girders.

Flexural and Buckling Analysis of Laminated Composite Beams with Bi- and Mono-Symmetric Cross-Sections (이축 및 일축 대칭단면 적층복합 보의 휨과 좌굴해석)

  • Hwoang, Jin-Woo;Back, Sung Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.12
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    • pp.614-621
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    • 2019
  • A generalized laminated composite beam element is presented for the flexural and buckling analysis of laminated composite beams with double and single symmetric cross-sections. Based on shear-deformable beam theory, the present beam model accounts for transverse shear and warping deformations, as well as all coupling terms caused by material anisotropy. The plane stress and plane strain assumptions were used along with the cross-sectional stiffness coefficients obtained from the analytical technique for different cross-sections. Two types of one-dimensional beam elements with seven degrees-of-freedom per node, including warping deformation, i.e., three-node and four-node elements, are proposed to predict the flexural behavior of symmetric or anti-symmetric laminated beams. To alleviate the shear-locking problem, a reduced integration scheme was employed in this study. The buckling load of laminated composite beams under axial compression was then calculated using the derived geometric block stiffness. To demonstrate the accuracy and efficiency of the proposed beam elements, the results based on three-node beam element were compared with those of other researchers and ABAQUS finite elements. The effects of coupling and shear deformation, support conditions, load forms, span-to-height ratio, lamination architecture on the flexural response, and buckling load of composite beams were investigated. The convergence of two different beam elements was also performed.

Buckling Analysis of Thin-Walled Laminated Composite I-Beams Including Shear Deformation (전단변형을 고려한 적층복합 I형 박벽보의 좌굴해석)

  • Back, Sung Yong;Lee, Seung Sik;Park, Yong Myung
    • Journal of Korean Society of Steel Construction
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    • v.18 no.5
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    • pp.575-584
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    • 2006
  • In this paper, a shear-flexible finite element model is developed for the buckling analysis of axially loaded, thin-walled composite I-beams. Based on an orthogonal Cartesian coordinate system, the displacement fields are defined using the first-order shear-deformable beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, were developed to solve the governing equations. An inverse iteration with shift eigenvalue solution was used to solve the resulting linearized buckling problem. A parametric study was conducted to show the importance of shear flexibility and fiber orientation on the buckling behavior of thin-walled composite beams. A good agreement was obtained among the proposed shear-flexible model, other results available in literature, and the finite element solution.

Thermal Analysis on Glass Backplane of OLED Displays During Joule Induced Crystallization Process (OLED 디스플레이 제작을 위한 Joule 유도 결정화 공정에서의 유리기판에 대한 열해석)

  • Kim, Dong-Hyun;Park, Seung-Ho;Hong, Won-Eui;Chung, Jang-Kyun;Ro, Jae-Sang;Lee, Seung-Hyuk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.10
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    • pp.797-802
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    • 2009
  • Large area crystallization of amorphous silicon thin-films on glass substrates is one of key technologies in manufacturing flat displays. Among various crystallization technologies, the Joule induced crystallization (JIC) is considered as the highly promising one in the OLED fabrication industries, since the amorphous silicon films on the glass can be crystallized within tens of microseconds, minimizing the thermally and structurally harmful influence on the glass. In the JIC process the metallic layers can be utilized to heat up the amorphous silicon thin films beyond the melting temperatures of silicon and can be fabricated as electrodes in OLED devices during the subsequent processes. This numerical study investigates the heating mechanisms during the JIC process and estimates the deformation of the glass substrate. Based on the thermal analysis, we can understand the temporal and spatial temperature fields of the backplane and its warping phenomena.

Analytical solutions using a higher order refined theory for the stability analysis of laminated composite and sandwich plates

  • Kant, T.;Swaminathan, K.
    • Structural Engineering and Mechanics
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    • v.10 no.4
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    • pp.337-357
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    • 2000
  • Analytical formulations and solutions for the first time, to the stability analysis of a simply supported composite and sandwich plates based on a higher order refined theory, developed by the first author and already reported in the literature are presented. The theoretical model presented herein incorporates laminate deformations which account for the effects of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of inplane displacements with respect to the thickness coordinate - thus modelling the warping of transverse cross sections more accurately and eliminating the need for shear correction coefficients. The equations of equilibrium are obtained using the Principle of Minimum Potential Energy (PMPE). The comparison of the results using this higher order refined theory with the available elasticity solutions and the results computed independently using the first order and the other higher order theories developed by other investigators and available in the literature shows that this refined theory predicts the critical buckling load more accurately than all other theories considered in this paper. New results for sandwich laminates are also presented which may serve as a benchmark for future investigations.

Effects of Processing Conditions on Thickness Distribution for a Laminated Film during Vacuum-Assisted Thermoforming (열진공성형 공형조건이 적층필름의 두께분포에 미치는 영향)

  • Yoo, Y.G.;Lee, H.S.
    • Transactions of Materials Processing
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    • v.20 no.3
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    • pp.250-256
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    • 2011
  • Vacuum-assisted thermoforming is one of the critical steps for the successful application of film insert molding(FIM) to parts of complex shapes. If the thickness distribution of the formed film is non-uniform, cracking, deformation, warping, and wrinkling can easily occur at the injection molding stage. In this study, the effects of processing parameters, which include the film heating time, plug depth, plug speed and vacuum delay time, on film thickness distribution were investigated. It was found that the film thickness at the part sidewall decreases with increasing the film heating time and plug depth, but the thickness at the bottom was found to exhibit the opposite behavior. The film thickness of the sidewall was observed to increase at higher plug speed and vacuum delay time of 0 ~ 0.3sec.

A Survey on Deformation Techniques in Computer Graphics (그래픽스 분야의 물체 변형기법 연구 동향)

  • Park, K.R.;Choi, Y.C.;Lee, S.Y.
    • Electronics and Telecommunications Trends
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    • v.13 no.4 s.52
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    • pp.43-58
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    • 1998
  • 애니메이션이나 멀티미디어에서 사용될 물체들을 모두 처음부터 만들어 나간다는 것은 굉장히 시간이 많이 들고 힘든 일이다. 따라서, 물체를 처음부터 디자인하는 것이 아니라 단순한 모양의 물체로부터 복잡한 모양의 물체를 쉽게 만드는 방법에 대한 연구가 많이 진행되었다. 본 논문에서는 그래픽스 분야의 물체 변형기법에 대한 연구 결과들을 살펴본다. 대표적인 변형기법으로 Barr의 음함수 변형법, 자유형태 변형기법과 그 확장, skeleton warping 등을 살펴본다. 물체의 보다 사실적인 변형을 얻기 위해서 물리 법칙을 이용하는 방법과, 구조가 복잡한 물체를 여러 상세 단계로 나누어 처리하는 다중해상 방법도 살펴본다. 그리고, 매개변수 함수로 표현된 물체를 편집할 경우에 곡선/곡면의 제어점 대신 물체상의 임의의 위치를 직접 움직이는 직접제어 기법의 연구동향을 살펴본다.

Free Vibration Analysis of Thin-walled Circular Arch with Unsymmetric Section (비대칭 단면을 갖는 박벽 원형아치의 자유진동 해석)

  • 김문영;민병철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.465-472
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    • 1998
  • In this study, analytic solution and finite element formulation for the free vibration analysis of thin-walled circular arch, based on linearized virtual work and Vlasov's assumption, including restrained warping effect and second order terms of finite semitangential rotations, is presented. The total potential energy is derived by applying the Hellinger-Reissner principle. In this formulation, all displacement parameters of deformation are defined at the centroid axis. For the finite element formulation, the two node cubic Hermitian polynomials are utilized as shape functions. In special case, potential energy functional of thin-walled curved beam with monosymmetric cross section is derived. From this methodology, analytic solution for the free vibration of monosymmetric circular arch with simply supported is derived. In order to illustrate the accuracy of this study, various parameter studies for free vibration of circular arches are presented and compared with numerical solution analyzed by the FEM using straight beam element.

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