• Title/Summary/Keyword: antisymmetric laminated

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Natural Frequencies of Laminated Composite Plates Attached Point Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적충복합판의 고유진동수)

  • Park, Jae-Sean;Hong, Chang-Woo;Lee, Jung-Ho;Lee, Joo-Hyung
    • Journal of Industrial Technology
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    • v.19
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    • pp.235-243
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    • 1999
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniformly distributed axial force and attached mass was carried out. Because it is complicated to analysis this type of plate by theory of antisymmetric laminate, possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that was able to neglect self-weight of plate was proposed.

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Natural Frequencies of Laminated Composite Plates with Attached Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적층복합판의 고유진동수에 관한 연구)

  • Hong, Chang-Woo;Kim, Kyeong-Jin
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.4 no.4
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    • pp.181-190
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    • 2000
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniform axial-loading and attached mass was carried out. Because it is complicated to analyze this type of plate by theory of antisymmetric laminate possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that Was able to neglect self-weight of plate was proposed.

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Study on bi-stable behaviors of un-stressed thin cylindrical shells based on the extremal principle

  • Wu, Yaopeng;Lu, Erle;Zhang, Shuai
    • Structural Engineering and Mechanics
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    • v.68 no.3
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    • pp.377-384
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    • 2018
  • Bi-stable structure can be stable in both its extended and coiled forms. For the un-stressed thin cylindrical shell, the strain energy expressions are deduced by using a theoretical model in terms of only two parameters. Based on the principle of minimum potential energy, the bi-stable behaviors of the cylindrical shells are investigated. The results indicate that the isotropic cylindrical shell does not have the second stable configuration and laminated cylindrical shells with symmetric or antisymmetric layup of fibers have the second stable state under some confined conditions. In the case of antisymmetric laminated cylindrical shell, the analytical expressions of the stability are derived based on the extremal principle, and the shell can achieve a compact coiled configuration without twist deformation in its second stable state. In the case of symmetric laminated cylindrical shell, the explicit solutions for the stability conditions cannot be deduced. Numerical results show that stable configuration of symmetric shell is difficult to achieve and symmetric shell has twist deformation in its second stable form. In addition, the roll-up radii of the antisymmetric laminated cylindrical shells are calculated using the finite element package ABAQUS. The results show that the value of the roll-up radii is larger from FE simulation than from theoretical analysis. By and large, the predicted roll-up radii of the cylindrical shells using ABAQUS agree well with the theoretical results.

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

  • 최용희;권택진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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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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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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    • v.22 no.6
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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.

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

  • Park, Sung Jin
    • Journal of Korean Society of Steel Construction
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    • v.12 no.6
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    • pp.691-700
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    • 2000
  • A powerful analytical procedure and strain energy analysis to investigate the free vibration of antisymmetric angle-ply laminated plates, having one pair of opposite edges simply supported, are develped on the basis of the Yang, Norris and Stavsky (YSN) theory. The equation of motion of the plate are solved by the use of collocation method. A range of results are presented for plates to show the effects of modulus ratio and number of layers on natural frequency. In addition, an analysis of the strain energy distributions is used as an aid for the better understanding of the vibration characteristics of the plates.

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

  • Lee, Soo-Yong
    • Journal of Aerospace System Engineering
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    • v.1 no.4
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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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Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory

  • Abualnour, Moussa;Chikh, Abdelbaki;Hebali, Habib;Kaci, Abdelhakim;Tounsi, Abdeldjebbar;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed
    • Computers and Concrete
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    • v.24 no.6
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    • pp.489-498
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    • 2019
  • The thermo-mechanical bending behavior of the antisymmetric cross-ply laminates is examined using a new simple four variable trigonometric plate theory. The proposed theory utilizes a novel displacement field which introduces undetermined integral terms and needs only four variables. The validity of the present model is proved by comparison with solutions available in the literature.

Bending Analysis of Anisotropic Sandwich Plates with Multi-layered Laminated Composite faces (다적층 복합면재를 갖는 비등방성 샌드위치판의 휨해석)

  • Ji, Hyo-Seon
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.3 no.4
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    • pp.17-26
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    • 2012
  • This study presents a governing equations of bending behavior of anisotropic sandwich plates with multi-layered laminated composite faces. Based on zig-zag models for through thickness deformations, the shear deformation of composite faces is included. All edges of plate are assumed to be simply supported. Results of the bending analysis under lateral loads are presented for the influence of various lay up sequences of antisymmetric angle-ply laminated faces. The accuracy of the approach is ascertained by comparing solutions from the sandwich plates theory with composite faces to the laminated plates theory. Since the present analysis considers the bending stiffness of the core and also the transverse shear deformations of the laminated faces, the proposed method showed higher than that calculated according to the general laminated plates theory. The information presented might be useful to design sandwich plates structure with polymer matrix composite faces.

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

  • Jeon, Yong-Sun;Kang, Joo-Won
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.4 s.6
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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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