• Title/Summary/Keyword: Elastic Deformation

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Design of Rolling Pass Schedule in Copper Thin Foil Cold Rolling According to Roll Crown of 6 High Mill (6단 압연롤 크라운을 고려한 동극박 냉간 압연 패스스케줄 설계)

  • Lee, Sang-Ho;Ok, Soon-Young;Hwang, In-Youb;Hwang, Won-Jea;Kim, Byung-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.11
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    • pp.66-72
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    • 2008
  • During the plate and foil cold rolling process, considerable values of the force of material pressure on the tool occur. These pressures cause the elastic deformation of the roll, thus changing the shape of the deformation legion. Rolled copper foils should be characterized by a good quality and light dimensional tolerances. Because of automation that is commonly implemented in flat product rolling mills, these products should meet the requirements of tightened tolerances, particularly strip thickness, and feature the greatest possible flatness. The shape of the roll gap is influenced by the elastic deformation of rolls parts of the rolling process affecter of the pressure force. However, to control roll deformation should be difficult. Because the foil thickness is very thin and the permissible deviations in the thickness of foil are small. In this paper, FE-simulation of roll deformation in thin foil cold roiling process is presented.

HOLD EFFECT IN FINITE TORSION OF A COMPRESSIBLE ELASTIC TUBE

  • Akinola, A.P;Layeni, O.P;Ldejobi, O.A.;Umoru, L.E.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.323-336
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    • 2004
  • We consider the application of complex variable method to elastic problem and investigate the nonlinear effect of finite torsion of a compressible elastic composite layer. We obtain that as a result of finite deformation approach, a tube subjected to torsion decreases in radius giving rise to a “hold effect”.

Measurement and FEM Analysis of Elastic Deformation According to the Forging Stages in Cold Forging Die (냉간단조용 금형의 변형모드에 따른 탄성변형량의 측정 및 유한요소 해석)

  • 이대근;이영선;이정환
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2002.05a
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    • pp.112-116
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    • 2002
  • In cold forging, the elastic behavior of the die has a direct influence on the accuracy of the forging part. And the die dimension is continuously changed during the loading, unloading, and ejecting stage. In this paper, we evaluated the elastic deflections of cold forging die during loading, unloading, and ejecting stage. Uni-axial strain gauges are used to measure elastic strain of die during each forging stage. Strain gauges are attached on the surface of die. A commercial F.E.M code, DEFORM-2D$\^$TM/ is used to predict elastic strain of die. Two method of F.E.M. analysis are used to compare with measured and calculated elastic strain. One is to regard the die as rigid body over forging cycle. And then, the die sass is analyzed by loading the die with pressure from the forging part. The other is to regard the die as elastic body from forging cycle. The elastic strain of die is calculated and the die is elastically deformed at each strop. The calculated results under the elastic die assumption are well agreed with experimental data using strain gauges.

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Development of A Simple Design Monograph for Track Sublayers (궤도 하부구조설계를 위한 간이 설계 모노그래프 개념 개발)

  • Park, Mi-Yun;Lee, Jin-Ug;Lee, Seong-Hyeok;Park, Jae-Hak;Lim, Yu-Jin
    • Proceedings of the KSR Conference
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    • 2011.10a
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    • pp.428-435
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    • 2011
  • In general, thickness of the sublayers under track is designed based on concept of vertical soil reaction value or vertical stiffness. However, this design method cannot take consideration into soil-track interaction under repetitive load, traffic condition and velocity of the train. Furthermore, the reinforced roadbed soils experience complex behavior that cannot be explained by conventional stress-strain relation expressed as soil reaction value k. The reinforced roadbed soils also can produce cumulative permanent deformation under repetitive load caused by train. Therefore new design method for the sublayers under track must be developed that can consider both elastic modulus and permanent deformation. In this study, a new design concept, a rule-of-thumb, is proposed as the form of design monograph that is developed using elastic multi-layer and finite element programs by analyzing stress and deformation in the sublayers with changing the thickness and elastic modulus of the sublayers and also using data obtained from repetitive triaxial test. This new design concept can be applied to design of the reinforced roadbed before developing full version of design methodology that can consider MGT, axial load and the material properties of the layers. The new design monograph allows the user to design the thickness of the reinforced roadbed based on permanent deformation, elastic modulus and MGT.

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Free vibration of functionally graded plates resting on elastic foundations based on quasi-3D hybrid-type higher order shear deformation theory

  • Zaoui, Fatima Zohra;Tounsi, Abdelouahed;Ouinas, Djamel
    • Smart Structures and Systems
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    • v.20 no.4
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    • pp.509-524
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    • 2017
  • In this article, a free vibration analysis of functionally graded (FG) plates resting on elastic foundations is presented using a quasi-3D hybrid-type higher order shear deformation theory. Undetermined integral terms are employed in the proposed displacement field and modeled based on a hybrid-type (sinusoidal and parabolic) quasi-3D HSDT with five unknowns in which the stretching effect is taken into account. Thus, it can be said that the significant feature of this theory is that it deals with only 5 unknowns as the first order shear deformation theory (FSDT). The elastic foundation parameters are introduced in the present formulation by following the Pasternak (two-parameter) mathematical model. Equations of motion are obtained via the Hamilton's principles and solved using Navier's method. Accuracy of the proposed theory is confirmed by comparing the results of numerical examples with the ones available in literature.

Seismic detailing of reinforced concrete beam-column connections

  • Kim, Jang Hoon;Mander, John B.
    • Structural Engineering and Mechanics
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    • v.10 no.6
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    • pp.589-601
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    • 2000
  • A simplified analysis procedure utilizing the strut-tie modeling technique is developed to take a close look into the post-elastic deformation capacity of beam-column connections in ductile reinforced concrete frame structures. Particular emphasis is given to the effect of concrete strength decay and quantity and arrangement of joint shear steel. For this a fan-shaped crack pattern is postulated through the joints. A series of hypothetical rigid nodes are assumed through which struts, ties and boundaries are connected to each other. The equilibrium consideration enables all forces in struts, ties and boundaries to be related through the nodes. The boundary condition surrounding the joints is obtained by the mechanism analysis of the frame structures. In order to avoid a complexity from the indeterminacy of the truss model, it is assumed that all shear steel yielded. It is noted from the previous research that the capacity of struts is limited by the principal tensile strain of the joint panel for which the strain of the transverse diagonal is taken. The post-yield deformation of joint steel is taken to be the only source of the joint shear deformation beyond the elastic range. Both deformations are related by the energy consideration. The analysis is then performed by iteration for a given shear strain. The analysis results indicate that concentrating most of the joint steel near the center of the joint along with higher strength concrete may enhance the post-elastic joint performance.

A Study on the Modeling and Control of a Flexible One-Link Manipulator Moving in a Vertical Plane (수직면에서 회전운동 하는 단일 탄성링크를 가지는 매니퓰레이터의 모델링과 제어에 관한 연구)

  • Kim, Jongdae;Oh, Seokhyung;Kim, Kiho;Oh, Chaeyoun
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.11
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    • pp.132-142
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    • 1996
  • This paper presents a technique to model and control a manipulator which has a flexible link and moves in a vertical plane. The flexible link is modeled as an Euler-Bernoulli Beam. Elastic deformation of the flexible link is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. This paper presents a simple technique to improve the correctness of the developed model. The final model including the shortening effect due to elastic deformation correlates very well with experimental results. The free body motion simulation shows that two assumed modes for the representation of the elastic deformation is proper in terms of the model size and correctness. A control algorithm is developed using PID control technique. The proportional, integral and derivative control gains are determined based on dominant pole placement method with a rigid one-link manipulator. A position control simulation shows that the control algorithm can be used to control the position and residual oscillation of the flexible one-link manipulator effectively.

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A third-order parabolic shear deformation beam theory for nonlocal vibration analysis of magneto-electro-elastic nanobeams embedded in two-parameter elastic foundation

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Advances in nano research
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    • v.5 no.4
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    • pp.313-336
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    • 2017
  • This article investigates vibration behavior of magneto-electro-elastic functionally graded (MEE-FG) nanobeams embedded in two-parameter elastic foundation using a third-order parabolic shear deformation beam theory. Material properties of MEE-FG nanobeam are supposed to be variable throughout the thickness based on power-law model. Based on Eringen's nonlocal elasticity theory which captures the small size effects and using the Hamilton's principle, the nonlocal governing equations of motions are derived and then solved analytically. Then the influences of elastic foundation, magnetic potential, external electric voltage, nonlocal parameter, power-law index and slenderness ratio on the frequencies of the embedded MEE-FG nanobeams are studied.

On the Weld-Induced Deformation Analysis of Curved Plates (곡판의 맞대기 용접변형 거동에 관한 연구)

  • Lee, Joo-Sung;Tan-Hoi, Nguyen
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.201-204
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    • 2006
  • A three-dimensional finite element (FEM) model has been developed to simulate the deformation due to bead on plate welding of curved plates with curvature in the weld direction. By using traditional method such as thermal-elastic-plastic FEM, the weld-induced deformation can be predicted accurately. However, this method is not practical approach to analyze the deformation of large and complex structures such as ship hull structures in view of time and cost. This study is classified from the aspect of equivalent load based on inherent strain near the weld line. Therefore, the residual deformation can be simply computed by elastic analysis. Further more, a practical solution is proposed to consider the contact between the plate and the positioning jig by judging the reaction forces of the jig at calculation step and the effect of the longitudinal curvature is closely considered.

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Large and Small Deformation Studies of Ohmic and Water-Bath Heated Surimi Gel by TPA and Creep Test

  • Choi, Won-Seok;Lee, Cherl-Ho
    • Food Science and Biotechnology
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    • v.15 no.3
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    • pp.409-412
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    • 2006
  • Interrelationship between results of large deformation (texture profile analysis, TPA) test and small deformation (creep) test on ohmic heated surimi gel, water-bath heated surimi gel, and commercial fish gel products (kamabokos) was examined. Creep test revealed ohmic heated gels have higher elastic modulus and viscosity values than water-bath heated ones, with differences of elastic modulus and viscosity between ohmic and water-bath heated gels being 18 and 28.5%, respectively. These differences were reflected in the higher hardness, cohesiveness, and chewiness values of ohmic heated gels in TPA. In TPA test, the differences of hardness and chewiness between ohmic heated gel and water-bath heated gel were 29.3 and 38.7%, respectively. It was concluded that with proper experimental design, the small deformation creep test which gives molecular level deformation data can be related to the large deformation TPA test indicating the sensory textural properties.