• Title/Summary/Keyword: deformable

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A HEAVISIDE-FUNCTION APPROACH FOR THE INTERACTION OF TWO-PHASE FLUID AND NON-DEFORMABLE SOLID

  • Kang, Myung-Joo;Min, Cho-Hong
    • The Pure and Applied Mathematics
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    • v.19 no.2
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    • pp.147-169
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    • 2012
  • We introduce a Heaviside-function formulation of the interaction between incompressible two-phase fluid and a non-deformable solid. Fluid and solid interact in two ways : fluid satises the Dirichlet boundary condition imposed by the velocity field of solid, and solid is accelerated by the surface traction exerted by fluid. The two-way couplings are formulated by the Heaviside function to the interface between solid and fluid. The cumbersome treatment of interface is taken care of by the Heaviside function, and the interaction is discretized in a simple manner. The discretization results in a stable and accurate projection method.

Thin-walled composite steel-concrete beams subjected to skew bending and torsion

  • Giussani, Francesca;Mola, Franco
    • Steel and Composite Structures
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    • v.9 no.3
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    • pp.275-301
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    • 2009
  • The long-term behaviour of simply supported composite steel-concrete beams with deformable connectors subjected to skew bending and torsion is presented. The problem is dealt with by recurring to the displacement method, assuming the bending and torsional curvatures and the longitudinal deformations of each sectional part as unknowns and obtaining a system of differential and integro-differential equations. Some solving methods are presented, in order to obtain exact and approximate solutions and evaluate the precision of the approximate ones. A case study is then presented. For the sake of clearness, the responses of the composite beam under loads applied in different directions are studied separately, in order to correctly evaluate the effects of each load condition.

Non-Linear Behavior of Shear Deformable Simple Beam with a Concentrated Load (전단변형을 고려한 집중하중을 받는 단순보의 비선형 거동)

  • 이병구;이태은;안대순;김권식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.53-60
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    • 2003
  • This paper explores the governing differential equations for the non-linear behavior of shear deformable simple beam with a concentrated load. In order to apply the Bernoulli-Euler beam theory to simple beam, the bending moment equation on any point of the elastica is obtained by concentrated load. The Runge-Kutta and Regula-Felsi methods, respectively, are used to integrate the governing differential equations and to compute the beam's rotation at the left end of the beams. The characteristic values of deflection curves for various load parameters are calculated and discussed

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Free transverse vibration of shear deformable super-elliptical plates

  • Altekin, Murat
    • Wind and Structures
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    • v.24 no.4
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    • pp.307-331
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    • 2017
  • Free transverse vibration of shear deformable super-elliptical plates with uniform thickness was studied based on Mindlin plate theory using finite element method. Quadrilateral isoparametric elements were used in the paper. Sensitivity analysis was made to determine the influence of the thickness, the aspect ratio, and the shape of the plate on the natural frequency. Accuracy of the results computed in the current study was validated by comparing them with the solutions available in the literature. The results reveal that the frequencies of clamped super-elliptical plates lie in the range bounded by elliptical and rectangular plates irrespective of the aspect ratio, and furthermore, the frequency decreases if the super-elliptical power increases. A similar trend was observed for simply supported plates with high aspect ratio. The free vibration response for the first and the second symmetric-antisymmetric (SA) modes were found to be different for high aspect ratio. The results reveal that using insufficient number of degrees of freedom results in finding a totally different relation between the super-elliptical power and the frequency.

Vision-Based Haptic Interaction Method for Telemanipulation: Macro and Micro Applications (원격조작을 위한 영상정보 기반의 햅틱인터렉션 방법: 매크로 및 마이크로 시스템 응용)

  • Kim, Jung-Sik;Kim, Jung
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1594-1599
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    • 2008
  • Haptic rendering is a process that provides force feedback during interactions between a user and an object. This paper presents a haptic rendering technique for a telemanipulation system of deformable objects using image processing and physically based modeling techniques. The interaction forces between an instrument driven by a haptic device and a deformable object are inferred in real time based on a continuum mechanics model of the object, which consists of a boundary element model and ${\alpha}$ priori knowledge of the object's mechanical properties. Macro- and micro-scale experimental systems, equipped with a telemanipulation system and a commercial haptic display, were developed and tested using silicone (macro-scale) and zebrafish embryos (micro-scale). The experimental results showed the effectiveness of the algorithm in different scales: two experimental systems applied the same algorithm provided haptic feedback regardless of the system scale.

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A Realtime Tracking of Eye Region Using Deformable Template and Neural Network (가변템플릿과 신경회로망을 이용한 실시간 눈 영역의 추적)

  • Kim, Do-Hyung;Lee, Seon-Hwa;Lee, Hack-Man;Cha, Eui-Young
    • Proceedings of the Korea Information Processing Society Conference
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    • 2000.10a
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    • pp.247-250
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    • 2000
  • 본 논문에서는 다양한 배경을 가지는 연속적인 얼굴 영상에서 실시간으로 눈의 위치를 자동적으로 추출하는 방법에 대하여 제시한다. 얼굴 요소 중에서 눈은 얼굴 인식 분야에 있어서 중요한 특징을 나타내는 주 요소로써 주로 히스토그램 분석과 색상 정보를 이용하여 눈 영역의 윤곽을 추출하는 방법이 제기되고 있다. 본 논문에서는 명암의 변화에도 비교적 적응력이 강한 이진화 기법을 사용하여 원영상을 이진화하고, 가변 템플릿(Deformable Template)방법을 사용하여 후보 영역을 추출한다. 이러한 후보영역들은 ART2 신경회로망을 이용하여 병합되며, 병합된 후보 영역들은 얼굴 요소의 기하학적 사전지식을 기반으로 검증되어, 시간에 따라 모양변화가 급변하는 눈 영역에 대한 실시간 추출을 가능하게 한다. 이상의 연구 결과는 교통사고 방지를 위한 눈의 졸림감지 등의 응용 시스템에 이용될 수 있다.

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Preform Design for the Sinter-forging Process of Arc-shaped Powdered Magnets (원호 형상을 가지는 분말자석 단조성형공정에서의 예비성형체 설계)

  • Kim, Seung-Ho;Lee, Choong-Ho;Huh, Hoon
    • Transactions of Materials Processing
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    • v.8 no.2
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    • pp.135-142
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    • 1999
  • Tube Process(TP) is one of the processes to produce permanent magnets. Advantage claimed for this process is that it can accmplish both densification and anisotropication in one step forming. This process is distinguished from other processes since it uses deformable tube for densification of powder magnets. TP has, however, difficulties in manufacturing permanent magnets from Nd-Fe-B green powder due to folding resulted from large height reduction and localized densification. Therefore, an adequate preform is necessary to reduce folding resulted from large height reduction and localized densification. Therefore, an adequate preform is necessary to reduce folding, lead magnets into almost desired final shape and get uniform densification. In this paper, preform design for TP is carried out without a deformable tube to investigate the behaviour of magnet sinter-forging. Preform design is accomplished to increase the effective magnet area with a near net shape and uniform densification.

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The Rocking Response of Rectangular Fluid Storage Tank (구형 유체 저장 Tank의 Rocking응답)

  • 김재관
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1997.04a
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    • pp.107-114
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    • 1997
  • A dynamic fluid-structure-soil interaction analysis method is developed to investigate the effects of rocking motion on the seismic response of the 3-D flexible rectangular liquid storage tanks founded on the deformable ground. The governing equation of 3-D rectangular tanks subjected to the translational and rocking motions is obtained by Rayleigh-Ritz method. The dynamic stiffness matrix of the rigid surface foundation resting on the surface of a stratum are calculated by hyperelement method. The seismic responses of a 3-D flexible tank model founded on the deformable ground is calculated by combining the governing equation of the structural motion with the dynamic stiffness matrix of the rigid surface foundation.

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Exact Static Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Elastic Beams (전단변형을 고려한 비대칭 박벽보의 엄밀한 정적 요소강도행렬)

  • 김남일;곽태영;이준석;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.345-352
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    • 2001
  • Derivation procedures of exact static element stiffness matrix of shear deformable thin-walled straight beams are rigorously presented for the spatial buckling analysis. An exact static element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The buckling loads are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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Exact Dynamic Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Beams Subjected to Initial Forces (초기하중을 받는 전단변형을 고려한 비대칭 박벽보의 엄밀한 동적 요소강도행렬)

  • 윤희택;김동욱;김상훈;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.435-442
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    • 2001
  • Derivation procedures of exact dynamic element stiffness matrix of shear deformable nonsymmetric thin-walled straight beams are rigorously presented for the spatial free vibration analysis. An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The natural frequencies are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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