• 제목/요약/키워드: antisymmetric

검색결과 122건 처리시간 0.026초

형상불완전을 갖는 평면 원호 아치의 동적 거동 (Dynamic Behavior of the Plane Circular Arches with the Shape Imperfections)

  • 조진구
    • 한국농공학회지
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    • 제43권3호
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    • pp.85-93
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    • 2001
  • In this study, a computer program considering shape imperfections of arch under dynamic loading was developed. The shape imperfection of arch was assumed as higher degree polynomial expressed as $\omega$$_{i}$ = $\omega$$_{o}$ (1-(2$\chi$/L)$^{m}$ )$^n$and sinusoidal curve such as $\omega$$_{i}$ = $\omega$$_{o}$ sin(η$\pi$$\chi$/L). In finite element formulation, the material nonlinear behavior was assumed the elasto-viscoplastic model highly corresponding to the real behavior of the material and the geometrically nonlinear behavior was modeled using Lagrangian description of motion. Also, the behavior of steel was modeled by applying yield criteria of Von Mises. The developed program was applied to the analysis of the dynamic behavior for the clamped beam subjected to the concentrated load at midspan and the results were compared with those from other research to investigate accuracy of the presented finite element program. In numerical examples, the shape imperfections of L/500, L/1,000 and L/2,000 were considered and the modes of shape imperfections of the symmetric and antisymmetric were adopted. The effects of the shape imperfections on the dynamic behavior of arch were conspicuous and results of analysis indicate that the reasonable values of arch rise to arch span ratio ranged between 0.1 and 0.3.

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중주파수 대역 해석을 위한 Beam-plate-beam 연성 구조물의 웨이브 모형 연구와 시험적 규명 (Wave Models and Experimental Studies of Beam-plate-beam Coupled Systems for a Mid-frequency Analysis)

  • 유지우
    • 한국소음진동공학회논문집
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    • 제17권2호
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    • pp.121-129
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    • 2007
  • There has been much effort to find suitable methods for structural analysis in the mid-frequency region where traditional low frequency methods have increasing uncertainties whilst statistical energy analysis is not strictly applicable. Systems consisting of relatively stiff beams coupled to flexible plates have a particularly broad mid-frequency region where the beams support only a few modes whilst the plate has a high modal density and modal overlap. A system of two parallel beams coupled to a plate is investigated based on the wave method, which is an approximate method. Muller's method is utilised for obtaining complex roots of a dispersion wave equation, which does not converge in the conventional wave method based on a simple iteration. The wave model is extended from a single-beam-plate system, to a plate with two identical beams which is modelled using a symmetric-antisymmetric technique. The important hypothesis that the coupled beam wavenumber is sufficiently smaller than the plate free wavenumber is experimentally verified. Finally, experimental results such as powers and energy ratios show the validity of the analytical wave models.

초기응력을 받는 직사각형판의 고유진동수 산정식 개발 (Equation for Estimating Natural Frequencies of Initially Stressed Rectangular Plates)

  • 박승진
    • 한국구조물진단유지관리공학회 논문집
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    • 제18권1호
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    • pp.150-159
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    • 2014
  • 본 논문은 초기하중을 받는 직사각형판 및 역대칭 Angle-Ply 적층판의 좌굴 및 진동특성을 무재하시의 고유진동수를 이용하여 산정하는 간편법을 제시하였다. 마주보는 두변이 단순지지된 직사각형판의 운동방정식은 곡률항을 고려한 Mindlin 판이론과 에너지원리를 이용한 Rayleigh-Ritz법을 이용하여 유도하였다. 초기응력을 받는 직사각형판의 무차원화 고유진동수, 임계좌굴계수 및 동적불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립하였다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 타당성과 사용성을 입증하기 위해 수치예를 들어 검토하였다.

DCT 부호화된 영상에서 계단함수모형에 의한 구획잡음의 제거방법 (Blocky artifacts reduction by step-function modeling in DCT coded images)

  • 양정훈;최혁;김태정
    • 한국통신학회논문지
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    • 제23권7호
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    • pp.1860-1868
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    • 1998
  • 이 논문에서는 DCT를 사용하여 부호화된 영상으로부터 구획잡읍을 제거하는 간단한 알고리즘을 제안한다. 구획 잡음은 구획경계를 중심으로 반대칭의 형태로 나타나므로, 이 논문에서는 DCT 기저들을 이용한 1차원 반대칭 함수로서 구획잡음을 모형화한다. 제안된 잡음모형의 주파수 특성으로부터, 잡음모형의 고주파성분들을 계단함수에 의한 고주파 성분으로 근사한다. 제안된 알고리즘은 $N\;{\times}\;N$ 구획별로 부호화된 영상에 대해 2N차 DCT영역에서 계단 함수에 의한 고주파 성분들을 제거하는 것이다. 또한 이 알고리즘이 공간영역에서 적은 계산량으로 간단히 수행될 수 있음을 보였다. JPEG 알고리즘을 사용하여 부호화된 영상에 대한 실험을 통하여 제안된 방법이 주관적, 객관적으로 우수한 화질을 보임을 알 수 있다.

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An efficient and simple higher order shear deformation theory for bending analysis of composite plates under various boundary conditions

  • Adim, Belkacem;Daouadji, Tahar Hassaine;Rabia, Benferhat;Hadji, Lazreg
    • Earthquakes and Structures
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    • 제11권1호
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    • pp.63-82
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    • 2016
  • In this study, the bending and dynamic behaviors of laminated composite plates is examined by using a refined shear deformation theory and developed for a bending analysis of orthotropic laminated composite plates under various boundary conditions. The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the plate. By dividing the transverse displacement into the bending and shear parts and making further assumptions, the number of unknowns and equations of motion of the present theory is reduced and hence makes them simple to use. In the analysis, the equation of motion for simply supported thick laminated rectangular plates is obtained through the use of Hamilton's principle. Numerical results for the bending and dynamic behaviors of antisymmetric cross-ply laminated plate under various boundary conditions are presented. The validity of the present solution is demonstrated by comparison with solutions available in the literature. Numerical results show that the present theory can archive accuracy comparable to the existing higher order shear deformation theories that contain more number of unknowns.

炭素纖維强化 複合材料의 혼합모우드 層間破壞靭性値에 대한 硏究 (A study of mixed-mode interlaminar fracture toughness of graphite/epoxy composite)

  • 윤성호;홍창선
    • 대한기계학회논문집
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    • 제10권2호
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    • pp.198-207
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    • 1986
  • 본 연구에서는 Fig.1과 같이 시편 부위에 균일응력분포가 작용하도록 M.Arcan 등에 의해 제시된 비대칭형상의 시편고정물에 층간균열을 가진 시편을 부착한 다음 하중각도를 바꾸어가며 모우드 II뿐 아니라 혼합모우드 및 모우드 I까지도 실험 할 수 있는 실험장치를 사용하여 균열면에서의 섬유방향이 〔0/0〕이고 초기균열길이비가 0.4, 0.5, 0.6인 시편의 모우드I, 혼합모우드 및 모우드II 층간파괴인 성치들을 실험 적으로 구해 혼합모우드 파괴결정조건식들에 적용시켜 보았다. 또한 균열면에서의 섬유방향이 〔0/0〕, 〔0/30〕, 〔0/45〕및 〔0/60〕인 경우의 층간파괴인성치와 이때 의 파괴현상에 대해 관찰하였다.

CROSS-PLY 적층쉘의 동적특성에 관한 최적화 설계 연구 (Dynamic Characteristics of Cross-Ply Laminated Shells)

  • Park, Sungjin
    • 한국재난정보학회 논문집
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    • 제11권4호
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    • pp.527-533
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    • 2015
  • 본 논문은 초기하중을 받는 역대칭 Cross-Ply 원통쉘의 동적특성을 고유진동수를 이용하여 해석하였다. 마주보는 두변이 단순지지된 적층 원통쉘의 운동방정식은 곡률항을 고려한 Mindlin 쉘이론과 에너지원리를 이용한 Rayleigh-Ritz법을 이용하여 유도하였다. 초기응력을 받는 적층쉘의 고유진동수, 임계좌굴계수 및 동적불안정영역 문제들을 무재하시의 무차원화 고유진동수로서 각각의 특성을 정립하였다. 본 연구에서 제안한 진동특성에 관한 간편산정식의 타당성과 사용성을 입증하기 위해 수치예를 들어 검토하였다.

Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory

  • Benselama, Khadidja;El Meiche, Noureddine;Bedia, El Abbas Adda;Tounsi, Abdelwahed
    • Structural Engineering and Mechanics
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    • 제55권1호
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    • pp.47-64
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    • 2015
  • This paper presents the effect of hybridization material on variation of critical buckling load with different cross-ply laminates plate resting on elastic foundations of Winkler and Pasternak types subjected to combine uniaxial and biaxial loading by using two variable refined plate theories. Governing equations are derived from the principle of virtual displacement; the formulation is based on a new trigonometric shape function of displacement taking into account transverse shear deformation effects vary parabolically across the thickness satisfying shear stress free surface conditions. These equations are solved analytically using the Navier solution of a simply supported. The influence of the various parameters geometric and material, the thickness ratio, and the number of layers symmetric and antisymmetric hybrid laminates material has been investigated to find the critical buckling loads. The numerical results obtained through the present study with several examples are presented to verify and compared with other models with the ones available in the literature.

Free vibration analysis of angle-ply laminated composite and soft core sandwich plates

  • Sahla, Meriem;Saidi, Hayat;Draiche, Kada;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제33권5호
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    • pp.663-679
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    • 2019
  • In this work, a simple four-variable trigonometric shear deformation model with undetermined integral terms to consider the influences of transverse shear deformation is applied for the dynamic analysis of anti-symmetric laminated composite and soft core sandwich plates. Unlike the existing higher order theories, the current one contains only four unknowns. The equations of motion are obtained using the principle of virtual work. The analytical solution is determined by solving the eigenvalue problem. The influences of geometric ratio, modular ratio and fibre angle are critically evaluated for different problems of laminated composite and sandwich plates. The eigenfrequencies obtained using the current theory are verified by comparing the results with those of other theories and with the exact elasticity solution, if any.

A discussion on simple third-order theories and elasticity approaches for flexure of laminated plates

  • Singh, Gajbir;Rao, G. Venkateswara;Iyengar, N.G.R.
    • Structural Engineering and Mechanics
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    • 제3권2호
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    • pp.121-133
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    • 1995
  • It is well known that two-dimensional simplified third-order theories satisfy the layer interface continuity of transverse shear strains, thus these theories violate the continuity of transverse shear stresses when two consecutive layers differ either in fibre orientation or material. The third-order theories considered herein involve four/or five dependent unknowns in the displacement field and satisfy the condition of vanishing of transverse shear stresses at the bounding planes of the plate. The objective of this investigation is to examine (i) the flexural response prediction accuracy of these third-order theories compared to exact elasticity solution (ii) the effect of layer interface continuity conditions on the flexural response. To investigate the effect of layer interface continuity conditions, three-dimensional elasticity solutions are developed by enforcing the continuity of different combinations of transverse stresses and/or strains at the layer interfaces. Three dimensional twenty node solid finite element (having three translational displacements as degrees of freedom) without the imposition of any of the conditions on the transverse stresses and strains is also employed for the flexural analysis of the laminated plates for the purposes of comparison with the above theories. These shear deformation theories and elasticity approaches in terms of accuracy, adequacy and applicability are examined through extensive numerical examples.