• Title/Summary/Keyword: axial deformation

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A refined theory with stretching effect for the flexure analysis of laminated composite plates

  • Draiche, Kada;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.11 no.5
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    • pp.671-690
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    • 2016
  • This work presents a static flexure analysis of laminated composite plates by utilizing a higher order shear deformation theory in which the stretching effect is incorporated. The axial displacement field utilizes sinusoidal function in terms of thickness coordinate to consider the transverse shear deformation influence. The cosine function in thickness coordinate is employed in transverse displacement to introduce the influence of transverse normal strain. The highlight of the present method is that, in addition to incorporating the thickness stretching effect (${\varepsilon}_z{\neq}0$), the displacement field is constructed with only 5 unknowns, as against 6 or more in other higher order shear and normal deformation theory. Governing equations of the present theory are determined by employing the principle of virtual work. The closed-form solutions of simply supported cross-ply and angle-ply laminated composite plates have been obtained using Navier solution. The numerical results of present method are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy, higher order shear and normal deformation theory (HSNDT) and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory. It can be concluded that the proposed method is accurate and simple in solving the static bending response of laminated composite plates.

Effect of Edge Confinement on Deformation Capacity in the Isolated R/C Structural Walls (전단벽의 단부보강효과에 따른 변형능력의 평가)

  • 이희동;한상환;이리형
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.525-528
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    • 1998
  • This paper reports on tests of reinforced concrete shear walls for wall-type apartment structure under axial loads and the cyclic reversal of lateral loads with different confinement of the boundary elements. Confinement of the extreme element by U-stirrups and tie hooks seems to be as effective as closed stirrups. The shear strength capacity seems not to be increased by the confinement but deformation capacity improved.

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Flexural-Shear Behavior for RC Columns (철근 콘크리트 기둥의 휨-전단 파괴거동에 관한 연구)

  • 이수곤;홍성걸
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.10a
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    • pp.393-396
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    • 1999
  • This paper presents a truss model for RC columns subjected to axial load and lateral load. The presented model is based on a stress field for the flexural-shear failure of short columns, which represent shear failure and bond splitting failure. Using this model, failure strength and related deformation of RC columns are investigated. Particular emphasis is placed on models capable of representing the interaction between deformation and shear strength.

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Crush Characteristics of Thin-walled Rectangular Tube (박판사각튜브의 압괴 특성)

  • 이종선
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.10a
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    • pp.261-266
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    • 1998
  • In this study, crush characteristics of thin-walled rectangular tube is investigated. The stiffness of the element is obtained from analytical moment-rotation relationship and approximated load-deflection relationship of thin-walled rectangular tube. A computer program is developed for the large deformation analysis of frame. An incremental displacement method is used in the program and at each incremental stage, the stiffness matrix of the total structure is checked with the state each element for bending and compression.

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Finite Element Analysis of Temperature Distribution and Thermally Caused Deformation in Ventilated Disk Brakes

  • Kim, Chung-Kyun
    • Tribology and Lubricants
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    • v.11 no.5
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    • pp.150-155
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    • 1995
  • In order to analyze the thermal effects of the rotor models, the finite element technique was used in this study. The length of the hat was investigated as a design parameter. At the start of each brake application the disk surface temperature rapidly increases to a maximum value and then decays due to external cooling and thermal conduction to the hat. The calculated results indicate that the long length of the hat shows the minimum deformation in axial direction, which is related to the thermal problems, coned wear, vibration and noise.

Free Vibrations of Stepped Circular Arcs (불연속 변단면을 갖는 원호 곡선부재의 자유진동)

  • 오상진;진태기;최규문;이종국
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.429-434
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    • 2002
  • The differential equations governing in-plane free vibrations of stepped circular arcs, including the effects of axial deformation, rotatory inertia and shear deformation, are derived and solved numerically to obtain frequencies and mode shapes. Numerical results are calculated for the clamped-clamped symmetric and unsymmetric circular arcs with thickness varying in a discontinuous fashion. The lowest four natural frequencies and mode shapes are presented over a range of non-dimensional system parameters: the subtended angle, the slenderness ratio, the section ratio and the ratio of discontinuous section.

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Dynamic behavior of FGM beam using a new first shear deformation theory

  • Hadji, Lazreg;Daouadji, T. Hassaine;Bedia, E.A.
    • Earthquakes and Structures
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    • v.10 no.2
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    • pp.451-461
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    • 2016
  • A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory and the physical neutral surface concept. There is no stretching-bending coupling effect in the neutral surface based formulation, and consequently, the governing equations and boundary conditions of functionally graded beams based on neutral surface have the simple forms as those of isotropic plates. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

A Basic Study of Crashworthiness Optimization Using Homogenization Method(II) (균질화법을 이용한 충돌 최적화 기초 연구(II))

  • 조용범;신효철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.4
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    • pp.181-191
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    • 2002
  • The homogenization method is applied to maximize crash energy absorption for a given volume. Optimization analysis off closed-hat type example problem is conducted with different impact velocities and thicknesses. The results show that the bending-type deformation for the original design is changed to the folding-type deformation for a new design with a hole, which is partly due to the increase of the crash energy absorption for the new design. Dynamic mean crushing loads of the original and new design are compared with those by the theoretical equation by Wierzbicki. It shows that the dynamic mean crushing loads of new designs are very close to those by Wierzbicki's equation.

A Finite Element Analysis for a Rotating Cantilever Beam (회전 외팔보에서의 유한요소 연구)

  • Chung, Jin-Tai;Yoo, Hong-Hee;Kim, Gang-Seong
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.529-534
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    • 2000
  • A finite element analysis for a rotating cantilever beam is presented in this study. Based on a dynamic modelling method using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle. Two of the linear differential equations show the coupling effect between stretch and chordwise deformations. The other equation is an uncoupled one for the flapwise deformation. From these partial differential equations and the associated boundary conditions, are derived two weak forms: one is for the chordwise motion and the other is for the flapwise motion. The weak forms are spatially discretized with newly defined two-node beam elements. With the discretized equations or the matrix-vector equations, the behaviours of the natural frequencies are investigated for the variation of the rotating speed.

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Free Vibrations of Tapered Parabolic Arches Considering Rotatory Inertia and Shear Deformation (회전관성 및 전단변형을 고려한 변단면 포물선 아치의 자유진동)

  • 오상진;박광규;최규문;이종국
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.846-851
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    • 2003
  • The differential equations governing free, in-plane vibrations of non-circular arches with non-uniform cross-section, including the effects of rotatory inertia, shear deformation and axial deformation, are derived and solved numerically to obtain frequencies. The lowest four natural frequencies are calculated for the prime parabolic arches with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. Three general taper types for rectangular section are considered. A wide range of arch rise to span length ratios, slenderness ratios, and section ratios are considered. The agreement with results determined by means of a finite element method is good from an engineering viewpoint.

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