• Title/Summary/Keyword: laminate theory

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Characterizing buckling behavior of matrix-cracked hybrid plates containing CNTR-FG layers

  • Lei, Zuxiang;Zhang, Yang
    • Steel and Composite Structures
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    • v.28 no.4
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    • pp.495-508
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    • 2018
  • In this paper, the effect of matrix cracks on the buckling of a hybrid laminated plate is investigated. The plate is composed of carbon nanotube reinforced functionally graded (CNTR-FG) layers and conventional fiber reinforced composite (FRC) layers. Different distributions of single walled carbon nanotubes (SWCNTs) through the thickness of layers are considered. The cracks are modeled as aligned slit cracks across the ply thickness and transverse to the laminate plane, and the distribution of cracks is assumed statistically homogeneous corresponding to an average crack density. The first-order shear deformation theory (FSDT) is employed to incorporate the effects of rotary inertia and transverse shear deformation, and the meshless kp-Ritz method is used to obtain the buckling solutions. Detailed parametric studies are conducted to investigate the effects of matrix crack density, CNTs distributions, CNT volume fraction, plate aspect ratio and plate length-to-thickness ratio, boundary conditions and number of layers on buckling behaviors of hybrid laminated plates containing CNTR-FG layers.

Numerical Study for the Estimation of Strengthening Effect of Concrete Column Strengthened with CFS (CFS 보강 콘크리트 기둥의 보강효과 산정을 위한 해석적 연구)

  • 이상호;허원석;박재우
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.709-714
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    • 1999
  • The objectives of this study are to estimate the strengthening effect of concrete column strengthened with CFS and to provide basic guideline for the strengthening design with laminated composite materials. Analysis stress-strain model of laminated CFS is presented based on laminate theory. This model has been implemented in the algorithm of evaluating confinement effect of CFS. From results of the algorithm, stress-strain relationship of confined concrete is obtained. Using this stress-strain relationship, section analyses of circular and rectangular concrete columns strengthened with CFS are carried our, and load-moment interaction and load-ductility curves of the columns are obtained. To evaluate the strengthening effects of CFS, parametric study is also conducted for the angle of ply, thickness of CFS, shape of section, and reinforcement ratio. Based on this investigation, design recommendations and basic guidelines for the strengthening design with CFS are proposed.

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The Influence of the Aspect Ratio on the Composite Material Bridge Deck Structures

  • Han, Bong-Koo
    • Composites Research
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    • v.27 no.1
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    • pp.1-6
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    • 2014
  • Theories for composite material structures are too difficult for such design engineers for construction and some simple but accurate enough methods are necessary. The author has reported that some laminate orientations have decreasing values of $D_{16}$, $B_{16}$, $D_{26}$ and $B_{26}$ stiffnesses as the ply number increases. For such plates, the fiber orientations given above behave as specially orthotropic plates and simple formulas developed by the author. Most of the bridge deck structures on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms $M_x$ on the relevant partial differential equations of equilibrium. In this paper, the result of the study on the subject problem is presented.

Vibration Control of Plates Using Resonant Shunted Piezoelectric Material (공진분기회로를 이용한 평판의 진동제어)

  • Kim, Young-Ho;Park, Chul-Hue;Park, Hyun-Chul
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.881-886
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    • 2003
  • Vibration control of plates with a passive electrical damper is presented in this paper. This electrical absorber, piezoelectric patches connected with a resistor and an inductor in series, is analogous to the damped mechanical vibration absorber. For estimating the effectiveness of piezoelectric absorber, the governing equations of motion are derived using a classical laminate plate theory and Hamilton principle. The developed theoretical analyses are validated experimentally for simply-supported aluminum plates in order to demonstrate the performance of passive electrical damper. The result shows that the vibration amplitude is reduced about 14dB for the targeted first vibration mode.

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Vibration Control of Plates Using Resonant Shunted Piezoelectric Material (공진분기회로를 이용한 평판의 진동제어)

  • Kim, Young-Ho;Park, Chul-Hue;Park, Hyun-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.10
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    • pp.1778-1784
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    • 2003
  • Vibration control of plates with a passive electrical damper is presented in this paper. This electrical absorber, piezoelectric patches connected with a resistor and an inductor in series, is analogous to the damped mechanical vibration absorber. For estimating the effectiveness of piezoelectric absorber, the governing equations of motion are derived using a classical laminate plate theory and Hamilton principle. The developed theoretical analysis is validated experimentally for a simply-supported aluminum plate in order to demonstrate the performance of passive electrical damper. The result shows that the vibration amplitude is reduced about 14dB for the targeted first vibration mode.

Random Vibration Analysis of Thick Composite Laminated Plate Using Mixed Finite Element Model (1) (혼합유한요소모델을 이용한 두꺼운 복합적층판의 불규칙 진동해석(1)-이론적 고찰)

  • Seok, Keun-Yung;Kang, Joo-Won
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.190-196
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    • 2004
  • Thick composite laminated plates is considered in 3D finite-element. To consider continuity of transverse stresses and displacement field, mixed finite-element has been developed by using layerwise theory and the minimum potential energy principle. Mixed finite-element has been enforced through the thick direction, Z, of a laminated plate by considering six degree-of-freedoms per node. Six degree-of-freedoms are three displacement components in the coordinate axes directions and three transverse stress components ${\sigma}_z,\;{\tau}_{xz},\;{\tau}_{yz}$. The model maintain the fundamental elasticity relations that are stress-strain relation and displacement-strain relation, because the transverse stress components invoked as nodal degrees of freedom by using the fundamental elasticity relationship between th components of stress and displacement. Random vibration analysis of the model is performed by computing consistent mass matrix and computing covariance in frequency domain technique.

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Buckling optimization of laminated composite plate with elliptical cutout using ANN and GA

  • Nicholas, P. Emmanuel;Padmanaban, K.P.;Vasudevan, D.
    • Structural Engineering and Mechanics
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    • v.52 no.4
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    • pp.815-827
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    • 2014
  • Buckling optimization of laminated composite plates is significant as they fail because of buckling under in-plane compressive loading. The plate is usually modeled without cutout so that the buckling strength is found analytically using classical laminate plate theory (CLPT). However in real world applications, the composite plates are modeled with cutouts for getting them assembled and to offer the provisions like windows, doors and control system. Finite element analysis (FEA) is used to analyze the buckling strength of the plate with cutouts and it leads to high computational cost when the plate is optimized. In this article, a genetic algorithm based optimization technique is used to optimize the composite plate with cutout. The computational time is highly reduced by replacing FEA with artificial neural network (ANN). The effectiveness of the proposed method is explored with two numerical examples.

Vibration Analysis of [αββγααβ]r Type Laminated Composite Plates Using Invariant and Correction Factor (불변량(不變量)과 수정계수(修正係數)를 사용(使用)한 [αββγααβ]r 적층부합판(積層復合板)의 진동해석(振動解析))

  • Hong, Chang-Woo;Sim, Do-Sik;Kim, Nam-Yun;Jung, Young-Hwa
    • Journal of Industrial Technology
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    • v.16
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    • pp.131-137
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    • 1996
  • For a large scale civil and architectural structures, mainly steel, concrete and aluminum have been used and weight and corrosion of materials became a major concern. Designing with composite materials is very much complicated. Simple classical theory may yield good results for selecting "initial" sections for preliminary design. D. H. Kim proposed to use the quasi-isotropic constants by Tsai for the preliminary design of the composite primary structures for the civil construction. Also he made simple equation using correction factor. In this paper, the simple formulas developed by D. H. Kim to obtain "exact" values of the natural frequencies of [ABBCAAB]r laminate are compared with Whitney's equations. Also natural frequencies of the plate with varying aspect ratios and reinforcing fiber orientations, are compared with natural frequencies of bean. This work can be a guideline to obtain data in many other cases.

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Elasto-plastic Analysis of a hydrogen pressure vessel of Composite materials (복합재료 수소 압력용기의 탄소성 해석)

  • Do, Ki-Won;Han, Hoon-Hee;Ha, Sung-Kyu
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.275-280
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    • 2008
  • To improve the durability of a hydrogen pressure vessel which is applied high-pressure, it needs the autofrettage process which induces compressive residual stress in the Aluminum liner. This study presents the elasto-plastic analysis to predict the behavior of structure accurately, and the Tsai-Wu failure criterion is applied to predict failure of pressure vessel of Aluminum liner and composite materials. Generally, plastic analysis is more complex than elastic analysis and has much time to predict. To complement its weakness, the AxicomPro(EXCEL program), applied radial return algorithm and nonlinear classical laminate theory (CLT), is developed for predicting results with more simple and accurate than the existing finite element analysis programs.

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Geometrically nonlinear analysis of FG doubly-curved and hyperbolical shells via laminated by new element

  • Rezaiee-Pajand, M.;Masoodi, Amir R.;Arabi, E.
    • Steel and Composite Structures
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    • v.28 no.3
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    • pp.389-401
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    • 2018
  • An isoparametric six-node triangular element is utilized for geometrically nonlinear analysis of functionally graded (FG) shells. To overcome the shear and membrane locking, the element is improved by using strain interpolation functions. The Total Lagrangian formulation is employed to include the large displacements and rotations. Finding the nonlinear behavior of FG shells via laminated modeling is also the goal. A power function is employed to formulate the variation of elastic modulus through the thickness of shells. The results are presented in two ways, including the general FGM formulation and the laminated modeling. The equilibrium path is obtained by using the Generalized Displacement Control Method. Some popular benchmarks, including hyperbolical shell structures are solved to declare the correctness and accuracy of proposed formulations.