• Title/Summary/Keyword: 전단 변형이론

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Higher-order Shear Deformable Analysis of Laminated Plates on Two-parameter Elastic Foundations (Two-parameter 탄성지반위에 놓인 고차전단변형 적층판의 해석)

  • Han, Sung-Cheon;Jang, Suk-Yoon
    • Journal of Korean Society of Steel Construction
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    • v.13 no.1
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    • pp.101-113
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    • 2001
  • The main purpose of this paper is to present deflections of laminated composite plates on the two-parameter foundations. that is an elastic foundation with shear layer. This paper focuses on the deformation behaviour of anisotropic structures on elastic foundations. The third-order shear deformation theory is applied by using the double-fourier series. To validate the derived equations the obtained displacements for simply supported isotropic and orthotropic plates on elastic foundations are compared with those of Timoshenko and LUSAS program. The results show an excellent agreement for the isotropic and LUSAS program. The results show an excellent agreement for the isotropic and orthotropic plates on the elastic foundations. Numerical results for displacements are presented to show the effects of side-to-thickness ratio aspect ratio, material anisotropy and shear modulus of foundations.

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A Study of Dynamic Instability for Sigmoid Functionally Graded Material Plates on Elastic Foundation (탄성지반위에 놓인 S형상 점진기능재료(FGM)판의 동적 불안정성에 관한 연구)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.1
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    • pp.85-92
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    • 2015
  • This article presents the dynamic instability response of sigmoid functionally graded material plates on elastic foundation using the higher-order shear deformation theory. The higher-order shear deformation theory has ability to capture the quadratic variation of shear strain and consequently shear stress through the plate thickness. The governing equations are then written in the form of Mathieu-Hill equations and then Bolotin's method is employed to determine the instability regions. The boundaries of the instability regions are represented in the dynamic load and excitation frequency plane. The results of dynamic instability analysis of sigmoid functionally graded material plate are presented using the Navier's procedure to illustrate the effect of elastic foundation parameter on dynamic response. The relations between Winkler and Pasternak elastic foundation parameter are discussed by numerical results. Also, the effects of static load factor, power-law index and side-to-thickness ratio on dynamic instability analysis are investigated and discussed. In order to validate the present solutions, the reference solutions are used and discussed. The theoretical development as well as numerical solutions presented herein should serve as reference for the dynamic instability study of S-FGM plates.

Shearing Behaviors of the Soft Marine Clay in Undrained and Drained Conditions (연약해성점토의 비배수 및 배수 전단 거동)

  • 이영휘;김용준;정강복
    • Journal of the Korean Geotechnical Society
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    • v.17 no.5
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    • pp.29-36
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    • 2001
  • 한반도 남해안의 광양만에서 채취한 연약 해성점토의 물리적 및 역학적 특성을 조사하기 위한 일련의 실내시험을 수행하였다. 물리적 성질 및 압밀시험 결과의 분석에 따르면, 시험에 사용된 시료는 정규압밀점토로 나타났다. 압밀비배수 삼축시험 결과로부터 새로운 간극수압계수(C)를 제안하였고, 이 계수는 유효응력경로를 예측하기 위한 방정식에 적용되었다. 또한, 비배수조건에서 전단변형률은 오로지 응력비만의 함수라는 사실이 실험결과로부터 밝혀졌다. 따라서 비배수 조건에서의 전단변형률 계산식이 제안되었으며, 이들 관계식을 이용하여 비배수(CIU) 및 배수조건(CID)에서의 점토의 거동을 예측하기 위한 새로운 구성방정식이 제안되었다. 이 구성방정식은 Roscoe와 Poorooshasb이 제안한 증분응력-변형률 이론을 기초로 하였으며, 제안된 구성방정식을 적용하여 예측한 배수전단특성을 실측된 결과에 매우 근접하는 경향을 나타내었다.

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Strip Angle Changes in Accordance with the Deformation Mode of Seismic Steel Plate Shear Wall Systems (내진 강판전단벽시스템의 변형모드에 따른 스트립앵글 변화)

  • Lee, Kangmin;Li, Rui;Chen, Liuyi;Oh, Keun Yeong;Kim, Woo Seok
    • Journal of Korean Society of Steel Construction
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    • v.25 no.5
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    • pp.497-507
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    • 2013
  • This study investigated the tension-field action induced strip angle changes and deformed mode shapes of SPSW for high-rise structures subjected to lateral forces. Based on the numerical analysis 3, 9, 14 and 20 story structures, shear and flexural modes were identified by comparing the numerical analysis results to the predicted strength by theory. Shear deformation mode exhibited a constant angle in tension-field; whereas, flexural mode of the numerical results, differed from the tension-field action theory.

Behavior for 2 Ply Rubber/Cord Laminates (2층 고무/코드 적층판의 층간거동)

  • 이윤기;임동진;윤희석;김민호;김춘휴
    • Composites Research
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    • v.16 no.4
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    • pp.1-9
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    • 2003
  • 2 ply laminated composite is regarded to simulate the interply behavior of the belt layer of the tire. It was cone with 3 dimensional FE(Finite Element) analysis to determine interply shear stress and strain. Widthwise, the shear strain was measured by the pin method. These results are compared with those of CLT(classical lamination theory) in center region and those of Kassapoglou's and Kelsey's theory in edge region. In the FE analysis. rubber is assumed as linear elastic material. and rubber/cord laminate as the orthotropic material composed of cord and rubber In the FE result, interlaminar shear stress causing the interlaminar delamination has the largest value in the edge region of the inner rubber layer. Numerical results obtained coincides with CLT well in the center region, and agrees with other theoretical result little in the edge region.

Nonlinear Random Vibration of Laminated Composite Plates by Comparison of Classical Theory, 1st and 3rd Order Shear Theories (복합적층판의 비선형 불규칙 진동 해석에 관한 고전 이론, 1차 및 3차 전단 이론의 비교 연구)

  • Kang, Joowon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.129-138
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    • 2000
  • Composites are finding increasing use in a wide variety of engineering applications due to their outstanding mechanical properties. A number of studies have focused on the development of new materials as well as the response of composite structures to static and dynamic loads by assuming the external driving forces to be deterministic. However, there ate many situations in practice where the exciting forces vary randomly. In this work, the nonlinear response of laminated composite plates excited by stochastic loading is studied by the finite element method. Classical, first-order and third-order shear theories for plates are used in the finite element formulation. Since most composites exhibit significant nonlinearity in the shear stress-strain law, this is included in the present analysis.

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Buckling and Vibration Analysis of Antisymmetric Angle-ply laminated Composite Plates using a Three-dimensional Higher-order Theory (3차원 고차이론을 이용한 역대칭 앵글-플라이를 갖는 복합재료 적층판의 좌굴 및 진동해석)

  • Lee, Won Hong;Han, Sung Cheon;Chun, Kyoung Sik;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.15 no.2
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    • pp.97-107
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    • 2003
  • To obtain a more accurate response from larninated composite structures, the effect of transverse shear deformation, transverse normal strain/stress, and nonlinear variation of in-plane displacements vis-$\\grave{a}$-vis the thickness coordinate should be considered in the analysis. The improved higher-order theory was used to determine the critical buckling load and natural frequencies of laminated composite structures. Solutions of simply supported laminated composite plates and sandwiches were obtained in closed form using Navier's technique, with the results compared with calculated results using the first order and other higher-order theories. Numerical results were presented for fiber-reinforced laminates, which show the effects of ply orientation, number of layers, side-toithickness ratio, and aspects ratio.

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
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    • v.19 no.5
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    • pp.1-6
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    • 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.

Viscoelastic Bending, Vibration and Buckling Analysis of Laminated Composite Plates on Two-parameter Elastic Foundation (2개 매개변수를 갖는 탄성지반위에 놓인 복합재료 적층판의 점탄성적 휨, 진동 좌굴해석)

  • Han, SungCheon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.13 no.5
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    • pp.443-455
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    • 2001
  • An energy method has been used for an elastic formulation of bending vibration and buckling analysis of laminated composite plates on two-parameter elastic foundations. A quasi-elastic method is used for the solution of viscoelastic analysis of the laminated composite plates. The third-order shear deformation theory is applied by using the double-fourier series. To validate the derived equations the obtained displacements for simply supported orthotropic plates on elastic foundations are compared with those of LUSAS program Numerical results of the viscoelastic bending vibration and buckling analysis are presented to show the effects of layup sequence number of layers material anisotropy and shear modulus of foundations.

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