• Title/Summary/Keyword: bending deformation

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CAUSTIC AND IMAGE PROPERTIES OF GRAVITATIONALLY BENDING LIGHT RAYS

  • Chang, Kyong-Ae
    • Journal of The Korean Astronomical Society
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    • v.19 no.2
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    • pp.63-68
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    • 1986
  • In this paper we deal with the orientation and the deformation of the circular light bundle passing in a static bounded gravitational field. The properties of caustic of the gravitational lens are discussed.

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A Study on the Prediction of Thermal Deformation Using Temperature Analysis in Surface Grinding Process (연삭가공시 온도해석을 통한 열변형 예측)

  • 김강석;곽재섭;송지복
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.19-23
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    • 1995
  • The thermal deformation of a workpiece during grinding is one of the most important factors that affect a flatness of a grinding surface. The heat generated in one-pass surface grinding causes the convex deformation of a workpiece. Therefore, the ground durfae represents a concave profile. In the analysis a simple model of the temperature distribution, based on the results of a finite element method, is applied. Theanalyzed results are compared with experimental results in surface grinding. The main results obtained are as follows: (1) The temperature distribution of a workpiece by FEM has a good agreement with the experimental results. (2) The bending moment by generated heat causes a convex deformation of the workpiece and it leads to a concave profile of the grinding surface.

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An Inextensible Wire-shaped Deformation Model for Catheter Simulation (카테터의 거동을 시뮬레이션 하기 위한 고정된 길이를 유지하는 실 형상의 변형체 모델)

  • Han, Hyehyun;Lee, Doo Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.8
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    • pp.610-614
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    • 2016
  • This paper proposes an inextensible wire-shaped deformation model to simulate catheter behavior. The wire-shaped model consists of serially-connected mass points and massless rigid links. Torsional springs and dampers are employed to accommodate bending. Deformation is computed by updating the rotation angles from the global coordinates while maintaining the fixed length condition. Equations of motion is derived from double pendulum motion. Spring constant is computed using strain energy and potential energy stored in a torsional spring to reflect material property. Simulation is conducted to show deformation of wire model while maintaining inextensibility condition and including material properties. The proposed method guarantees inextensible constraint in the catheter simulation.

Geometrical nonlinear bending characteristics of SWCNTRC doubly curved shell panels

  • Chavan, Shivaji G.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • v.5 no.1
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    • pp.21-49
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    • 2018
  • In this paper, geometric nonlinear bending characteristics of single wall carbon nanotube reinforced composite (SWCNTRC) doubly curved shell panels subjected to uniform transversely loadings are investigated. The nonlinear mathematical model is developed for doubly curved SWCNTRC shell panel on the basis of higher-order shear deformation theory and Green- Lagrange nonlinearity. All nonlinear higher order terms are included in the mathematical model. The effective material properties of SWCNTRC are estimated by using Eshelby-Mori-Tanaka micromechanical approach. The governing equation of the shell panel is obtained using the total potential energy principle and a Newton-Raphson iterative method is employed to compute the nonlinear displacement and stresses. The present results are compared with published literature. The effect of SWCNT volume fraction, width-to-thickness ratio, radius-to-width ratio (R/a), boundary condition, linear and nonlinear deflection, stresses and different types of shell geometry on nonlinear bending response is investigated.

Evaluation of mechanical properties of Bi-2223/Ag HTS tapes (Bi-2223/Ag 고온초전도 선재의 기계적 특성 평가)

  • 하홍수;이동훈;양주생;최정규;윤진국;하동우;오상수;권영길
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 2002.02a
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    • pp.351-354
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    • 2002
  • In most of electrical applications using Bi-2223/Ag HTS tapes, bending and tension stresses are essentially applied to the tape. Therefore, the critical current of the Bi-2223/Ag tape is degraded by increasing the deformation stress, though brittle superconducting filaments are embedded in the reinforced Ag alloy sheath. It is needed to understand bending and tension properties of HTS tapes at room temperature and cryogen to make superconducting magnet, cable and etc. using Bi-2223/Ag HTS tapes. Actually, bending and tension stress applied to the tapes simultaneously, when winding the tapes on former for applications. In this study, the effect of mechanical deformations, bending and tension, on the critical current of Bi-2223/Ag tape was investigated.

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Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams

  • Rahmani, O.;Refaeinejad, V.;Hosseini, S.A.H.
    • Steel and Composite Structures
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    • v.23 no.3
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    • pp.339-350
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    • 2017
  • In this paper, various nonlocal higher-order shear deformation beam theories that consider the size dependent effects in Functionally Graded Material (FGM) beam are examined. The presented theories fulfill the zero traction boundary conditions on the top and bottom surface of the beam and a shear correction factor is not required. Hamilton's principle is used to derive equation of motion as well as related boundary condition. The Navier solution is applied to solve the simply supported boundary conditions and exact formulas are proposed for the bending and static buckling. A parametric study is also included to investigate the effect of gradient index, length scale parameter and length-to-thickness ratio (aspect ratio) on the bending and the static buckling characteristics of FG nanobeams.

Quasimolecular Dynamics Simulation for Bending Fracture Propagation of Laminar Composite Material (적층복합재료의 굽힘 파괴거동에 관한 준분자동력학적 해석)

  • 박준영;김영석
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1997.03a
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    • pp.59-62
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    • 1997
  • Recently, quasimolecular dynamics has been successfully used to simulate the deformation characteristic of actual size material. In quasimolecular dynamics, which is an attempt to bridge the gab between atomistic and continuum simulations, molecules are aggregated into large units, called quasimolecules, to simulate the large scale material behavior. In this paper, a numerical simulation using quasimolecular dynamics has been performed to investigate the laminar composite material fracture and crack propagation behaviors in bending process of laminar composite material which is made of fictitious materials. The simulation of the bending of laminar composite material has clarified the effects of strength of material at outer surface upon the fracture behviors of the specimen.

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Investigation of Springback Behavior of DP780 Steel Sheets after the U-bending Process (U-bending에서의 DP780 강판의 스프링백 거동 연구)

  • Choi, M.K.;Huh, H.
    • Transactions of Materials Processing
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    • v.21 no.6
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    • pp.384-388
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    • 2012
  • Sheet metal forming processes induce residual stress in the final product due to plastic deformation. The residual stress leads to elastic recovery of the formed part called springback, which causes shape errors in the final product. This error is a serious issue, especially for high strength steels, which are widely used in auto-body structures. Therefore, the evaluation of the amount of springback becomes critical for high strength steels. This paper investigates the springback behavior of DP780 steel sheets after the U-bending process using the geometry of the standard U-shape tool from the NUMISHEET'93 benchmark problem. The amounts of springback were measured as a function of the intrusion direction, forming speed and blank holding force.

Bending analysis of softcore and hardcore functionally graded sandwich beams

  • Hadji, Lazreg;Safa, Abdelkader
    • Earthquakes and Structures
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    • v.18 no.4
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    • pp.481-492
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    • 2020
  • A New hyperbolic shear deformation theory is developed for the bending analysis of softcore and hardcore functionally graded sandwich beams. This theory satisfies the equilibrium conditions at the top and bottom faces of the sandwich beam and does not require the shear correction factor. The governing equations are derived from the principle of virtual work. Sandwich beams have functionally graded skins and two types of homogenous core (softcore and hardcore). The material properties of functionally graded skins are graded through the thickness according to the power-law distribution. The Navier solution is used to obtain the closed form solutions for simply supported FGM sandwich beams. The accuracy and effectiveness of proposed theory are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the deflections, stresses, and sandwich beam type on the bending responses of functionally graded sandwich beams.