• Title/Summary/Keyword: mixed beam

Search Result 265, Processing Time 0.027 seconds

GLOBAL EXISTENCE AND STABILITY FOR EULER-BERNOULLI BEAM EQUATION WITH MEMORY CONDITION AT THE BOUNDARY

  • Park, Jong-Yeoul;Kim, Joung-Ae
    • Journal of the Korean Mathematical Society
    • /
    • v.42 no.6
    • /
    • pp.1137-1152
    • /
    • 2005
  • In this article we prove the existence of the solution to the mixed problem for Euler-Bernoulli beam equation with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We proved that the energy decay with the same rate of decay of the relaxation function, that is, the energy decays exponentially when the relaxation function decay exponentially and polynomially when the relaxation function decay polynomially.

A Study on the Mixed Finite Element Models of Nonlinear Beam Bending Based on the Unconventional Residual Minimizing Method (비전통적 오차 최소화 방식에 기초한 비선형 빔의 휨에 대한 혼합형 유한요소해석 모델 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.12 no.6
    • /
    • pp.785-795
    • /
    • 2009
  • In this paper, new type of finite element models for the analysis of nonlinear beam bending are developed by using unconventional residual minimizing method to increase accuracy of finite element solutions and overcome some of computational drawbacks. Developing procedures of the new models are presented along with the comparison of the numerical results of existing beam bending models.

Mixed Reality Extension System Using Beam Projectors : Beyond the Sight (빔 프로젝터를 이용한 혼합현실 확장 시스템 : Beyond the Sight)

  • Kim, Jongyong;Song, J.H;Park, J.H.;Nam, J.;Yoon, Seung-Hyun;Park, Sanghun
    • Journal of the Korea Computer Graphics Society
    • /
    • v.25 no.3
    • /
    • pp.65-73
    • /
    • 2019
  • Recently commercial mixed-reality devices have be launched and a variety of mixed-reality content has produced, but narrow field of view, which appear to be hardware technical limitations, are mentioned as an important issue for hindering immersion and limiting the scope of use. We propose a new innovative system that cooperate multiple beam projectors and a number of mixed reality devices. Using this technology, users can maximize immersion and minimize frustration of narrow viewing angles through 3D object rendering on background of large 2D screens. This system, named BtS (Beyond the Sight), is implemented on a client-server basis and includes the ability to calibrate between devices, share spatial coordinate systems, and synchronize real-time renderings as core modules. In this paper, each configuration module is described in detail and the possibility of its performance and application is shown through the introduction of mixed reality content case created using BtS system.

Strain Energy Release Rate of Carbon/Epoxy Composite Material under Mixed Mode Delamination (혼합모우드 층간분리하에 있는 탄소/에폭시 복합재료의 변형에너지 방출율)

  • Yum, Y.J.;You, H.
    • Composites Research
    • /
    • v.12 no.3
    • /
    • pp.66-74
    • /
    • 1999
  • A modified mixed mode bending test was performed to investigate the mixed mode delamination for carbon/epoxy composite material. Various mixed mode ratios could be produced by changing the applied load position on the loading lever and the bending load position on the specimen. The modified mixed mode bending test was analyzed to obtain strain energy release rates using beam theory, compliance method and finite element method, This results were in good agreement with the experimental result, which confirmed the validity of this test.

  • PDF

Shape Optimization of Structures with a Crack (균열이 있는 구조물의 형상 최적화)

  • 한석영;송시엽;백춘호
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
    • /
    • 2001.10a
    • /
    • pp.298-303
    • /
    • 2001
  • Most of mechanical failures are caused by repeated loadings and therefore they are strongly related to fatigue. To avoid the failures caused by fatigue, determination of an optimal shape of a structure is one of the very important factors in the initial design stage. Shape optimization for a compact tension specimen in opening mode in fracture mechanics, was accomplished by the linear elastic fracture mechanics and the growth-strain method in this study. Also shape optimization for a cantilever beam in mixed mode was carried out by the same techniques. The linear elastic fracture mechanics was used to estimate stress intensity factors and fatigue lives. And the growth-strain method was used to optimize the shape of the initial shape of the specimens. From the results of the shape optimization, it was found that shapes of two types of specimens and a cantilever beam optimized by the growth-strain method prolong their fatigue lives very much. Therefore, it was verified that the growth-strain method is an appropriate technique for shape optimization of a structure having a crack.

  • PDF

Structural Analysis of Thin-Walled, Multi-Celled Composite Blades with Elliptic Cross-Sections (다중세포로 구성된 박벽 타원형 단면 복합재료 블레이드의 구조해석)

  • 박일주;정성남
    • Composites Research
    • /
    • v.17 no.4
    • /
    • pp.25-31
    • /
    • 2004
  • In this study, a refined beam analysis model has been developed for multi-celled composite blades with elliptic cross-sections. Reissner's semi-complimentary energy functional is introduced to describe the beam theory and also to deal with the mixed-nature of the formulation. The wail of elliptic sections is discretized into finite number of elements along the contour line and Gauss integration is applied to obtain the section properties. For each cell of the section, a total of four continuity conditions are used to impose proper constraints for the section. The theory is applied to single- and double-celled composite blades with elliptic cross-sections and is validated with detailed finite element analysis results.

MINLP optimization of a composite I beam floor system

  • Zula, Tomaz;Kravanja, Stojan;Klansek, Uros
    • Steel and Composite Structures
    • /
    • v.22 no.5
    • /
    • pp.1163-1192
    • /
    • 2016
  • This paper presents the cost optimization of a composite I beam floor system, designed to be made from a reinforced concrete slab and steel I sections. The optimization was performed by the mixed-integer non-linear programming (MINLP) approach. For this purpose, a number of different optimization models were developed that enable different design possibilities such as welded or standard steel I sections, plastic or elastic cross-section resistances, and different positions of the neutral axes. An accurate economic objective function of the self-manufacturing costs was developed and subjected to design, resistance and deflection (in)equality constraints. Dimensioning constraints were defined in accordance with Eurocode 4. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied together with a two-phase MINLP strategy. A numerical example of the optimization of a composite I beam floor system, as presented at the end of this paper, demonstrates the applicability of the proposed approach. The optimal result includes the minimal produced costs of the structure, the optimal concrete and steel strengths, and dimensions.

Transverse Shear Behavior of Thin-Walled Composite Beams with Closed Cross-Sections (폐쇄형 단면을 갖는 박벽 복합재료 보의 전단변형 거동 해석)

  • Park, Il-Ju;Jung, Sung-Nam
    • Composites Research
    • /
    • v.19 no.5
    • /
    • pp.1-6
    • /
    • 2006
  • In this study, a closed-form analysis has been developed for the transverse shear behavior of thin-walled composite beams with closed cross-sections. The shear flow distributions and cross-section stiffness coefficients are derived analytically by using a mixed beam approach. The theory has been applied to single-celled composite box-beams with elastic couplings. The location of the shear center and the effect of transverse shear deformation on the static behavior of composite beams are investigated in the framework of the analysis. The present results are validated against those of a two-dimensional finite element analysis and a good correlation has been obtained for box-beam cases considered in this study.

Application of Cone-Beam Computed Tomography-Generated Cephalograms in Children and Adolescents

  • Wooju So;Ji Min Kim;Bumhee Park;Yon-joo Mah
    • Journal of the korean academy of Pediatric Dentistry
    • /
    • v.51 no.3
    • /
    • pp.265-278
    • /
    • 2024
  • This study investigates the potential of cone-beam computed tomography (CBCT)-generated cephalograms as a replacement for conventional lateral cephalograms (LCs) in children and adolescents. This retrospective study included 60 individuals, equally divided into permanent and mixed dentition groups. Both groups underwent conventional LCs and CBCT scans on the same day. LCs were then derived from CBCT scans. The same examiner performed digital measurements twice, with a week's interval, identifying landmarks and obtaining 7 angular and 5 linear measurements. In the permanent dentition group, significant differences were observed between the two imaging modalities for 6 angular and 2 linear measurements. In the mixed dentition group, significant differences were observed for 3 angular and 2 linear measurements. However, none of these differences exceeded the clinically acceptable limit of 2.0° or 2.0 mm. No significant differences in any measurement were found between the two groups (p < 0.05). CBCT-generated LCs demonstrated comparable results with good reliability in both dentition groups, suggesting their potential as suitable alternatives for children and adolescents who require CBCT for clinical purposes.