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عنوان فارسی مقاله:
سری راه حل مثلثاتی برای تجزیه و تحلیل پرتو کامپوزیت متورق
عنوان انگلیسی مقاله:
Trigonometric-series solution for analysis of laminated composite beam
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
Composite laminated beams have been increasingly used in the various engineering fields for example in constructions, spacecraft, aircraft, mechanical engineering, etc. In order to predict accurately their structural responses, various beam theories with different approaches have been developed. These beam theories can be divided into three following categories: classical beam theory (CBT), first-order beam theory (FBT) and higher-order theory (HBT). A general review and assessment of these theories for composite beams can be found in [1–3]. It should be noted that CBT is only suitable for thin beams due to neglecting shear effect. FBT overcomes this adverse by taking into account this effect. However practically an appropriate shear correction is required. By using higher-order variation of axial displacement, HBT predicts more accurate than CBT and FBT, and importantly no shear correction factor is necessary. Therefore, this theory has been increasingly applied in predicting responses of composite beams. For numerical methods, finite element method has been widely used to analyze composite beams [4–17]. For analytical approach, Navier solution is the simplest one, which is only applicable for simply supported boundary conditions [18–20]. In order to deal with arbitrary boundary conditions, many researchers developed different methods. Ritz-type method is commonly used [21–24]. Khdeir and Reddy [25,26] developed state-space approach to derive exact solutions for the natural frequencies and critical buckling loads of cross-ply composite beams. Chen et al. [27] also proposed an analytical solution based on state-space differential quadrature for vibration of composite beams. By using the dynamic stiffness matrix method, Jun et al. [28,29] calculated the natural frequencies of composite beams based on third-order beam theory. A literature review shows that although Ritz procedure is efficient to deal with static, buckling and vibration problems of composite beams with various boundary conditions, the research on this interesting topic is still limited. The objectives of this paper is to develop a new trigonometricseries solution for analysis of composite beams with arbitrary layups. It is based on a higher-order theory which accounts for a higher-order variation of the axial displacement. By using Lagrange equations, the governing equations of motion are derived. Ritztype analytical solution with new trigonometric series is developed for beams under various boundary conditions. The convergence and verification studies are carried out to demonstrate the accuracy of the proposed solution. Numerical results are presented to investigate the effects of length-to-depth ratio, fibre angle and material anisotropy on the deflections, stresses, natural frequencies and critical buckling loads of composite beams.
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کلمات کلیدی:
Stress Analysis Of Laminated Composite Beam With I-section https://uta-ir.tdl.org/uta-ir/handle/10106/4915 by J Cherukkadu Parambil - 2010 - Related articles Jul 19, 2010 - The advantage of material properties and flexibility of choosing material have made composite materials a primary preference for structural ... [PDF]Modeling and Analysis of Laminated Composite Beams using Higher ... searchdl.org/public/journals/2013/IJMMS/3/1/1206.pdf by M Furqan - 2013 - Cited by 1 - Related articles Modeling and Analysis of Laminated Composite. Beams using Higher Order Theory. Mohd. Furqan1, Dr. M. Naushad Alam2. 1 Assistant Professor, Dept. of ... [PDF]Analysis of Laminated Structures Course of Lectures icas.bf.rtu.lv/doc/R61.pdf by RS RikardS - Cited by 4 - Related articles In the present textbook the basic principles of analysis are explained on laminated composite and sandwich beams. Similarly also the plates and shells can be ... Finite Element Analysis of Laminated Composite Cantilever Beam ... https://www.omicsonline.org/.../finite-element-analysis-of-laminated-composite-cantil... Laminated composites are widely used in engineering and structural applications. In present work failure analysis of cantilever beam made up of boron-epoxy ... Progressive Failure Analysis of Laminated Composite Beams - Jul 27 ... journals.sagepub.com/doi/abs/10.1177/002199839603000501 by Y Kim - 1996 - Cited by 38 - Related articles A progressive failure model for laminated composite beams is formulated using a beam finite element with layer-wise constant shear (BLCS), which permits ... Searches related to analysis of laminated composite beam composite beam analysis composite cantilever beam deflection composite beams example problems composite beam bending composite beams examples
