• 제목/요약/키워드: antisymmetric angle-ply

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Vibration of antisymmetric angle-ply laminated plates under higher order shear theory

  • Javed, Saira;Viswanathan, K.K.;Aziz, Z.A.;Karthik, K.;Lee, J.H.
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1281-1299
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    • 2016
  • This paper deals with the analysis of vibration of antisymmetric angle-ply plates using spline method for higher order shear theory. Free vibration of laminated plates is addressed to show the capability of the present method in the vicinity of higher order shear deformation theory and simply supported edges of plates. The coupled differential equations are obtained in terms displacement and rotational functions. These displacement and rotational functions are approximated using cubic and quantic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The antisymmetric angle-ply fiber orientation are taken as design variables. Numerical results enable us to examine the frequencies for various geometric and material parameters and accuracy and effectiveness of the proposed method is also verified by comparative study.

역대칭 Angle-Ply 적층판의 변형에너지 특성에 관한 연구 (Strain Energy Characterics of Antisymmetric Angle-Ply Laminated Plates)

  • 박승진
    • 한국강구조학회 논문집
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    • 제12권6호
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    • pp.691-700
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    • 2000
  • 두 변이 단순지지된 역대칭 Angle-Ply 적층판의 자유진동에 대하여 Yang, Norris, Stavsky의 YNS 이론을 이용하여, 적층판의 자유진동해석 및 변형에너지 해석을 하였다. 적층판의 운동방정식은 선점법을 사용하여 해석하였고, 탄성계수비와 적층수가 고유진동수에 미치는 영향을 검토하였다. 또한 변형에너지 분포 해석을 이용하여 적층판의 진동특성을 명확히 규명하였다.

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유사 변환을 이용한 역대칭 앵글 플라이 적층 후판의 거동 (Behaviors of Thick Antisymmetric Angle-Ply Laminate Using the Affine Transformation)

  • 이영신;양명석;나문수
    • 대한기계학회논문집
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    • 제15권1호
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    • pp.28-40
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    • 1991
  • 본 연구에서는 4변이 단순 지지된 두꺼운 역대칭 앵글 플라이 적층판의 굽힘, 좌굴 및 진동 거동을 규명하였으며, 인장과 굽힘, 비틀림 사이의 결합 특성을 고려하 였고, 전단 변형을 고려하였다.또 유사 변환 개념을 도입하여 복합 재료 적층판의 거동을 일반화 하였다.

복합적층 트러스 코어형 샌드위치 판구조물의 진동특성을 고려한 최적설계 (Optimum Design of the Laminated Composite Sandwich Plate Structure of Truss Core considering Vibration Characteristics)

  • 정석모;홍도관;안찬우
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.703-709
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    • 2001
  • In this paper, we analyzed the laminated composite sandwich plate structure of truss core with changing values of the designing parameters. As a result, in designing parameters of that, the more height and thickness of the laminated composite plate's core, the more increase of natural frequency. In this type of structure, in the case of applying core of the laminated composite plate and antisymmetric stacking, natural frequency has high value and we calculated the optimum angle-ply making natural frequency maximum. Natural frequency of CFRP is higher than that of GFRP. Both are materials of the laminated composite plate. The mode shapes are various along with the angle-ply of the laminated composite plate.

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고차전단변형을 고려한 비등방성 적층복합판의 임계좌굴온도 (Critical Buckling Temperatures of Anisotropic Laminated Composite Plates considering a Higher-order Shear Deformation)

  • 한성천;윤석호;장석윤
    • 한국강구조학회 논문집
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    • 제10권2호통권35호
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    • pp.201-209
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    • 1998
  • 강섬유보강 적층복합구조물에서 온도의 변화는 구조물의 응답에 중요한 영향을 미칠수 있다. 온도의 급작스런 변화는 재료의 강도와 성질을 현저히 저하시켜 구조물의 대변형, 좌굴, 고응력상태를 유발하는 중요한 인자가 된다. 본 연구에서는 등분포로 재하된 온도하중에 의한 적층복합판의 온도좌굴에 관한 해석을 수행하였다. 전단변형의 효과를 정확히 고려하기위해 5개의 변수로 구성된 고차전단변형이론을 적용하였다. 적층판의 배열각도, 적층판의 수, 폭-두께비의 변화, 형상비의 변화에 따른 임계좌굴온도를 구하여 1차전단변형이론에 의한 결과와 고전적이론에 의한 결과와 비교분석하였다.

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전단변형을 고려한 이방성 적층판의 좌굴해석 (Buckling Analysis of Anisotropic Laminated Plates with Shear Deformation)

  • 최용희;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.361-368
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    • 2001
  • This paper deals with the buckling load of antisymmetric angle-ply and cross-ply laminated rectangular plates. Buckling analysis is preformed for a simply supported, shear deformable laminated plate subjected to uniaxial compression and biaxial compression combined with uniform lateral pression. The shear deformation theory is considered to figure out a more exact behavior of laminated plates exactly. The purposes of this study are to formulate anisotropic laminated plates with shear deformation and to investigate the buckling load according to the various variables of laminated plates by using the exact solutions for anisotropic laminated plates having simply supported boundary.

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원통형 굽힘을 받는 적층판의 임계좌굴 하중 (Critical Buckling Loads of Laminated Composites under Cylindrical Bending)

  • 이수용
    • 항공우주시스템공학회지
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    • 제1권4호
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    • pp.28-36
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    • 2007
  • This paper presents critical buckling loads of laminated composites under cylindrical bending. In-plane displacements are assumed to vary exponentially through plate thickness. The accuracy of this theory is examined for symmetric/antisymmetric cross-ply, angle-ply and unsymmetric laminates under cylindrical bending. Analytical solutions are provided to investigate the effect of transverse shear deformation on critical buckling loads of the laminated plates, and the results are compared with those obtained from the first-order shear deformation plate theory and the classical laminated plate theory.

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불규칙 진동을 받는 복합 적층보의 응력 및 파괴해석 (Random Vibration Analysis of Composite Laminated Beams)

  • 전용선;강주원
    • 한국공간구조학회논문집
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    • 제2권4호
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    • pp.29-36
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    • 2002
  • The responses of composite laminated beams modeled with finite element and excited by stochastic loading are studied. The cantilevered laminated beam having a 5 ply configuration is considered. The beam is 1m long, 0.1m wide, and 0.02m thick, yielding a length to thickness ratio of L/h=50. The laminated beams was assumed to be made of Born Epoxy. The four nodes at the free end of the cantilever were loaded with identical zero-mean white noise excitations. Stress and failure analysis loaded with identical zero-mean white noise excitations is carried out. Along with the obtained results, comparison and discussion are presented for the cases of symmetric-ply, antisymmetric-ply, angle-ply, and cross-ply laminated beams.

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전단변형함수에 따른 역대칭 앵글-플라이 복합면재를 갖는 샌드위치판의 휨거동 평가 (Bending Assessment of Antisymmetric Angle-ply Composite Sandwich Plates with Various Shear Deformation Functions)

  • 박원태;천경식
    • 한국산학기술학회논문지
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    • 제12권11호
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    • pp.5347-5356
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    • 2011
  • 본 연구에서는 Lagrangian/Hermite 보간함수를 혼합정식화한 유한요소법과 다양한 전단변형함수로 역대칭 앵글-플라이 샌드위치판 모델을 비교하였다. 제시된 전단변형함수는 판의 상하면에서 전단응력이 0이 되는 다항식, 삼각함수, 쌍곡삼각함수 및 지수함수로 구성되어 있다. 모든 전단변형함수는 해석해(Analytical solution)와 비교하였으며, 합리적인 정확도를 갖는 것으로 예측되었다. 특히, 지수형태의 전단변형함수가 복합면재를 갖는 샌드위치판 해석에 있어서 상대적으로 가장 우수한 결과를 보였다.

Vibration analysis of a shear deformed anti-symmetric angle-ply conical shells with varying sinusoidal thickness

  • Javed, Saira;Viswanathan, K.K.;Aziz, Z.A.;Lee, J.H.
    • Structural Engineering and Mechanics
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    • 제58권6호
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    • pp.1001-1020
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    • 2016
  • The study is to investigate the free vibration of antisymmetric angle-ply conical shells having non-uniform sinusoidal thickness variation. The arbitrarily varying thickness is considered in the axial direction of the shell. The vibrational behavior of shear deformable conical shells is analyzed for three different support conditions. The coupled differential equations in terms displacement and rotational functions are obtained. These displacement and rotational functions are invariantly approximated using cubic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration characteristic of the shells is examined for cone angle, aspect ratio, sinusoidal thickness variation, layer number, stacking sequence, and boundary conditions.