• Title/Summary/Keyword: laminated beams

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Non-stochastic uncertainty response assessment method of beam and laminated plate using interval finite element analysis

  • Doan, Quoc Hoan;Luu, Anh Tuan;Lee, Dongkyu;Lee, Jaehong;Kang, Joowon
    • Smart Structures and Systems
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    • v.26 no.3
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    • pp.311-318
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    • 2020
  • The goal of this study is to analytically and non-stochastically generate structural uncertainty behaviors of isotropic beams and laminated composite plates under plane stress conditions by using an interval finite element method. Uncertainty parameters of structural properties considering resistance and load effect are formulated by interval arithmetic and then linked to the finite element method. Under plane stress state, the isotropic cantilever beam is modeled and the laminated composite plate is cross-ply lay-up [0/90]. Triangular shape with a clamped-free boundary condition is given as geometry. Through uncertainties of both Young's modulus for resistance and applied forces for load effect, the change of structural maximum deflection and maximum von-Mises stress are analyzed. Numerical applications verify the effective generation of structural behavior uncertainties through the non-stochastic approach using interval arithmetic and immediately the feasibility of the present method.

Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams

  • Lal, Achchhe;Markad, Kanif
    • Computers and Concrete
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    • v.22 no.6
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    • pp.501-514
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    • 2018
  • The paper presents the thermo-mechanically induced non-linear response of multiwall carbon nanotube reinforced laminated composite beam (MWCNTRCB) supported by elastic foundation using higher order shear deformation theory and von-Karman non-linear kinematics. The elastic properties of MWCNT reinforced composites are evaluated using Halpin-Tsai model by considering MWCNT reinforced polymer matrix as new matrix by dispersing in it and then reinforced with E-glass fiber in an orthotropic manner. The laminated beam is supported by Pasternak elastic foundation with Winkler cubic nonlinearity. A generalized static analysis is formulated using finite element method (FEM) through principle of minimum potential energy approach.

Buckling and stability analysis of sandwich beams subjected to varying axial loads

  • Eltaher, Mohamed A.;Mohamed, Salwa A
    • Steel and Composite Structures
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    • v.34 no.2
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    • pp.241-260
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    • 2020
  • This article presented a comprehensive model to study static buckling stability and associated mode-shapes of higher shear deformation theories of sandwich laminated composite beam under the compression of varying axial load function. Four higher order shear deformation beam theories are considered in formulation and analysis. So, the model can consider the influence of both thick and thin beams without needing to shear correction factor. The compression force can be described through axial direction by uniform constant, linear and parabolic distribution functions. The Hamilton's principle is exploited to derive equilibrium governing equations of unified sandwich laminated beams. The governing equilibrium differential equations are transformed to algebraic system of equations by using numerical differential quadrature method (DQM). The system of equations is solved as an eigenvalue problem to get critical buckling loads and their corresponding mode-shapes. The stability of DQM in determining of buckling loads of sandwich structure is performed. The validation studies are achieved and the obtained results are matched with those. Parametric studies are presented to figure out effects of in-plane load type, sandwich thickness, fiber orientation and boundary conditions on buckling loads and mode-shapes. The present model is important in designing process of aircraft, naval structural components, and naval structural when non-uniform in-plane compressive loading is dominated.

An experimental investigation of the flexural strengthening of preloaded self-compacted RC beams using CFRP sheets and laminates composites

  • Lattif, Youssef;Hamdy, Osman
    • Advances in concrete construction
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    • v.13 no.4
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    • pp.307-313
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    • 2022
  • This paper performs an experimental study on the flexural behavior of preloaded reinforced self-compacted concrete beams strengthened with carbon fiber reinforced polymers CFRP. A group of six preloaded strengthened beams was investigated along with one unstrengthened beam used as a reference beam RB. All beams have the same dimensions and reinforcement details: three beams are strengthened with CFRP laminates against flexural failure and three beams are strengthened with CFRP sheets. For simulating actual conditions, the beams are loaded before strengthening. Then, after strengthening, the beams are tested for flexural strength using 4-point loads where cracked and ultimate load and failure mode, along with load-deflection relation are recorded. To study the different configurations of strengthening, one layer, two layers, and U-wrap formation of laminates and sheets are considered. The results show that strengthing the RC beams using CFRP is an effective method to increase the beam's capacity by 47% up to 153% where deflection is reduced by 5%-80%. So, the beams strengthened with CFRP laminates have higher load capacity and lower ductility in comparison with the beams strengthened with CFRP sheets.

Impact Damage Energy of Laminated Beams Subjected to Transverse Impact (횡방향 충격을 받는 적층복합보의 손상에너지에 관한 연구)

  • 박근철;김남식;김문생
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.723-734
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    • 1991
  • 본 연구에서는 투사체의 충격으로 인해 복합재에 발생하는 손상을 해석하기 위해 우선 이와 관련이 있는 손상에너지를 구할 수 있도록 동적 유한요소 프로그램을 개발하는데 있으며, 이렇게 구한 결과들을 Husman의 실험결과와 비교함으로써 본 논문 의 유한요소 프로그램이 적층복합보에 충격으로 인하여 전달되는 총에너지와 손상에너 지를 구하는데 타당한 것인가를 검토하고 이 프로그램을 이용하여 다음과 같은 것들을 해석하였다.

Effective Utilization of Pine Wood for the Manufacturing of High Valued Product(I) -Bending Strength Properties of Laminated lumber Produced from Small Lumber of Pinus densiflora- (소나무재의 효율적 이용을 위한 고부가 가치화 방안(I) -소나무 소경재를 이용한 적층재의 휨 강도 특성-)

  • 홍순일;김남훈
    • Journal of Korea Foresty Energy
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    • v.18 no.2
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    • pp.78-83
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    • 1999
  • This study was carried out to investigate the strength and techanical feasibility of laminated lumber from small-diametered Pinus densiflora. Small lumber is currently not used for structural laminated lumber sonstruction, but its properties may of elasticity(MOE). Twenty specimens were compared for each beam from laminae. The results showed that actual beam MOE values exceeded slightly the preducted values. Based on the evaluation and analysis of thirty six Pinus densiflora laminated beams, a bending strength of 673 kgf/$cm^{2}$, and MOE of 98,200 kgf/$cm^{2}$ were obtained. It was suggested that this small lumber may be a candidate for structural laminated beam construction to provide the proper combinations of laminae.

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A Study on the Plane Stress Problem of Composite Laminated Annular Elements Using Finite Difference Method (유한차분법을 이용한 복합적층 원형곡선요소의 평면응력문제 연구)

  • Lee, Sang Youl;Yhim, Sung Soon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.9 no.1 s.30
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    • pp.65-79
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    • 1997
  • Composite materials are consist of two or more different materials to produce desirable properties for structural strength. Because of their superiority in strength, corrosion resistance, and weight reduction, they are used extensively as structural members. The objective of this study is to present the effectivness of the laminated composite elements by analyzing in-plane displacement and stress of the anisotropic laminated annular elements. Anisotropic laminated structures are very difficult to analyze and apply, compared with isotropic and orthotropic cases for arbitrary boundaries and fiber angle -ply. Boundary conditions for the examples used in this study consist of two opposite edges clamped and the other two edges free, and finite difference method is used in this study for numerical analysis. From the numerical result, it is found that the program used in this study can be used to obtain the displacement of the straight beams considering it's transverse shear deformation as well as anisotropic laminated elements. Several numerical examples show the advantages of the stiffness increase when the angle-ply composite materials are used. Therefore it gives a guide in deciding how to make use of fiber's angle for the subtended angle, load cases, and boundary conditions.

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A C Finite Element of Thin-Walled Laminated Composite I-Beams Including Shear Deformation (전단변형을 고려한 적층복합 I형 박벽보의 C유한요소)

  • Baek, Seong-Yong;Lee, Seung-Sik
    • Journal of Korean Society of Steel Construction
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    • v.18 no.3
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    • pp.349-359
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    • 2006
  • This paper presents a new block stiffness matrix for the analysis an orthogonal Cartesian coordinate system. The displacement fields are defined using the first order shear deformable beam theory. The longitudinal displacement can be expressed as the sum of the projected plane deformation of the cross-section due to Timoshenko's beam theory and axial warping deformation due to modified Vlasov's thin-waled beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, are developed. The quadratic and cubic elements are found to be very efficient for the flexural analysis of laminated composite beams. The versatility and accuracy of the new element are demonstrated by comparing the numerical results available in the literature.

Vibration Analysis of Multi-Delaminated Composite Beams (다 층간분리된 복합보의 진동해석)

  • 이성희;박대효;한병기;백재욱
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.83-89
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    • 2000
  • Dynamic characteristics of multi-delaminated composite beams are presented in this work. In order to investigate the effects of sizes, locations and types of delaminations on composite beams, the general kinematic governing equations are derived and solved by dividing the delaminated beam and imposing the continuity conditions into each sub-beam The results show dynamic behaviors are varied according to the sizes, types and locations of delaminations through the laminated composite beams. It is shown that the effects of delaminations on the dynamic characteristics of composite beams could be used to detect their sizes, types and locations from the results.

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The flexural performance of laminated glass beams under elevated temperature

  • Huang, Xiaokun;Liu, Gang;Liu, Qiang;Bennison, Stephen J.
    • Structural Engineering and Mechanics
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    • v.52 no.3
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    • pp.603-612
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    • 2014
  • A series of experimental work is carried out with the aim to understand the flexural performance of laminated glass (LG) beams using polyvinyl butyral (PVB) and Ionoplast interlayers subjected to short term duration loads in the circumstance of elevated temperature. The study is based on a total of 42 laboratory tests conducted in ambient temperature ranging from $25^{\circ}C$ to $80^{\circ}C$. The load duration is kept within 20 seconds. Through the tests, load-stress and load-deflection curves of the LG are established; appropriate analytical models for the LG are indentified; the effective thicknesses as well as the shear transfer coefficients of the LG are semi-empirically determined. The test results show that within the studied temperature range the bending stresses and deflections at mid-span of the LG develop linearly with respect to the applied loads. From $25^{\circ}C$ to $80^{\circ}C$ the flexural behavior of the PVB LG is found constantly between that of monolithic glass and layered glass having the same nominal thickness; the flexural behavior of the Ionoplast LG is equivalent to monolithic glass of the same nominal thickness until the temperature elevates up to $50^{\circ}C$. The test results reveal that in calculating the effective thicknesses of the PVB and Ionoplast LG, neglecting the shear capacities of the interlayers is uneconomic even when the ambient temperature is as high as $80^{\circ}C$. In the particular case of this study, the shear transfer coefficient of the PVB interlayer is found in a range from 0.62 to 0.14 while that of the Ionoplast interlayer is found in a range from 1.00 to 0.56 when the ambient temperature varies from $25^{\circ}C$ to $80^{\circ}C$.