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تحلیل خمشی پوستههای چندلایه کامپوزیتی دارای دو انحنا بر اساس تئوری لایهای و با استفاده از روش تحلیلی سری توانی دوگانه | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| دوره 56، شماره 8، 1403، صفحه 1075-1098 اصل مقاله (1.41 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2024.23290.7737 | ||
| نویسندگان | ||
| سینا منتهایی درگاه؛ محمد ملاعلی پور* | ||
| گروه مهندسی مکانیک، دانشکده مهندسی و فناوری، دانشگاه مازندران، بابلسر، ایران | ||
| چکیده | ||
| هدف از انجام این مطالعه، توسعه و بکارگیری روش تحلیلی مبتنی بر سری توانی دوگانه برای تحلیل پوسته‌ها می‌باشد و برای اولین بار پوستههای چندلایه کامپوزیتی دارای دو انحنا بر اساس این روش مورد تحلیل و بررسی قرار گرفته است. با توجه به اینکه جهت دست‌یابی به نتایج دقیق‌تر در تحلیل رفتار سازه‌های چندلایه، لازم است تئوری‌های مختص سازه‌های چندلایه مورد استفاده قرار گیرد؛ در این مطالعه از تئوری لایهای برای استخراج معادلات حاکم استفاده شده است تا با استفاده از این تئوری، اعمال خواص هر یک از لایه‌ها بصورت مستقل امکان‌پذیر باشد. براساس تئوری لایهای و با استفاده از اصل کمینه سازی انرژی، معادلات حاکم پوستههای چندلایه کامپوزیتی دارای دو انحنا بصورت مجموعه‌ای از 9 معادله دیفرانسیل مرتبه دوم استخراج شدند و سپس روش تحلیلی سری توانی دوگانه برای اولین بار جهت حل این معادلات توسعه داده شد. جهت اثبات کارآیی و دقت روند تحلیل ارائه شده، نتایج بدست آمده با نتایج حاصل از مطالعات دیگر محققان مقایسه شده است. نتایج مربوط به خیز پوستههای سه لایه کامپوزیتی تحت بارگذاری‌های ثایت و نیم سیکل سینوسی ارائه شده است. مقایسه نتایج نشان می‌دهد که روند ارائه شده جهت تحلیل پوستههای دوانحنا در حالت چندلایه کامپوزیتی از دقت مناسبی برخوردار بوده و با توجه به اینکه مطالعات انجام شده برای حل تحلیلی این سازه‌ها بسیار محدود می‌باشد می‌تواند جهت تحلیل حالات متنوعی توسط محققین به کار گرفته شود. | ||
| کلیدواژه‌ها | ||
| پوستههای دو انحنای چند لایه؛ تئوری لایهای؛ روش تحلیلی؛ سری توانی دوگانه | ||
| عنوان مقاله [English] | ||
| Bending analysis of composite multilayer doubly-curved shells based on layer-wise theory and using double power series analytical method | ||
| نویسندگان [English] | ||
| Sina Montahaiy-Dargah؛ Mohammad Mollaalipour | ||
| Department of Mechanical Engineering. University of Mazandaran | ||
| چکیده [English] | ||
| The purpose of this study is to develop and apply the analytical method based on a double power series solution for the analysis of shells. For the first time, composite multilayer doubly curved shells have been analyzed and investigated based on this method. In order to achieve more accurate results for analyses of multilayer structures, it is necessary to use specific theories of multilayer structures. In this study, the Layer-Wise theory has been used to extract the governing differential equations and by using this theory, it is possible to apply the properties of each layer independently. Based on the Layer-Wise theory and using the principle of minimum total potential energy, the governing differential equations of composite multilayer doubly curved shells were extracted as a set of 9 second-order differential equations, and then the double power series solution is used for the first time to solve these equations is developed. To demonstrate the efficiency and accuracy of the presented analysis process, the obtained results have been compared with the results of other studies. The comparison of the results reveals that the presented process for the analysis of composite multilayer doubly curved shells has good agreement with those obtained by other studies Since the studies carried out for the analytical solution of these structures are very limited, the presented method can be used for the analysis of them. | ||
| کلیدواژه‌ها [English] | ||
| Double Power Series, Analytical Solution, Layer-Wise Theory, Multilayer Shells, Doubly-Curved Shells | ||
| مراجع | ||
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[1] R. Azar Afza, K. MalekzadehFard, M. Golaghapour Kami, A.R. Pourmoayed, Dynamic analysis of cylindrical sandwich shell with orthogonal stiffeners using high-order theory, Amirkabir Journal of Mechanical Engineering, 53(Special Issue 4) (2021) 585-588 (In Persian). [2] M. Livani, K. Malekzadehfard, Free Vibration Analysis of Doubly Curved Composite Sandwich Panels with Variable Thickness, Amirkabir Journal of Mechanical Engineering, 52(8) (2020) 545-548 (In Persian). [3] D. Yao, M. Lezgy-Nazargah, A new double superposition-based shear deformation theory for static analysis of multilayered composite and sandwich doubly-curved shells, Thin-Walled Structures, 198, (2024), 111703. [4] G. Fan, M. Lezgy-Nazargah, An efficient seven-parameter double superposition-based theory for free vibration analysis of laminated composite shells, European Journal of Mechanics - A/Solids, 106, (2024), 105299. [5] F. Tornabene, S. Brischetto, 3D capability of refined GDQ models for the bending analysis of composite and sandwich plates, spherical and doubly-curved shells, Thin-Walled Structures 129 (2018) 94–124. [6] J.N. Reddy, C.E. LiU, A higher-order shear deformation theory of laminated elastic shells, International journal of engineering science, 23 (3), (1985), 319-330. [7] A.J.M. Ferreira, E. Carrera, M. Cinefra, C.M.C. Roque, O. Polit, Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations, Composites: Part B 42 (2011) 1276–1284. [8] B. Liu, A.J.M. Ferreira, Y.F. Xing, A.M.A. Neves, Analysis of functionally graded sandwich and laminated shells using a layerwise theory and a differential quadrature finite element method, Composite Structures, 136 (2016) 546–553. [9] E. Carrera Multilayered shell theories accounting for layerwise mixed description, part 2: numerical evaluations. AIAA J 37 (1999), 1117–24. [10] Y. Heydarpour, P. Malekzadeh, F. Gholipour, Thermoelastic analysis of FG-GPLRC spherical shells under thermo-mechanical loadings based on Lord-Shulman theory, Composites Part B: Engineering, 164(1), (2019) 400-424. [11] A.R. Setoodeh, M. Shojaee, P. Malekzadeh, Vibrational behavior of doubly curved smart sandwich shells with FG-CNTRC face sheets and FG porous core, Composites Part B: Engineering, 165 (2019) 798-822. [12] P. Malekzadeh, M. Farid, P. Zahedinejad, A three-dimensional layerwise-differential quadrature free vibration analysis of laminated cylindrical shells, International Journal of Pressure Vessels and Piping, 85(7), (2008) 450-458. [13] S. Benounas, M.O. Belarbi, V.P. Van, A.A. Daikh. Precise analysis of the static bending response of functionally graded doubly curved shallow shells via an improved finite element shear model, Engineering Structures, 319(15), (2024) 118829. [14] A. Wang, H. Chen, Y. Hao, W. Zhang, Vibration and bending behavior of functionally graded nanocomposite doubly-curved shallow shells reinforced by graphene nanoplatelets, Results in Physics, 9, (2018) 550-559 [15] M.E. Fares, M.Kh. Elmarghany, Doaa Atta, M.G. Salem, Bending and free vibration of multilayered functionally graded doubly curved shells by an improved layerwise theory, Composites Part B: Engineering, 154(1), (2018) 272-284. [16] M. Cinefra, S. Valvano, A variable kinematic doubly-curved MITC9 shell element for the analysis of laminated composites, Mechanics of advanced materials and structures, 23(11), (2016), 1312-1325. [17] S. Dwibedi, M.C. Ray, Analysis of doubly curved laminated composite shells using hybrid-Trefftz finite element model based on a high order shear deformation theory, Composite Structures, 337(1), (2024) 118070. [18] M.H. Asadijafari, M.R. Zarastvand, R. Talebitooti , The effect of considering Pasternak elastic foundation on acoustic insulation of the finite doubly curved composite structures, Composite Structures, 256(15), (2021), 113064. [19] Y. Zhai, J. Ma, S. Liang, Dynamics properties of multi-layered composite sandwich doubly-curved shells, Composite Structures 256, (2021), 113142. [20] H. Li, F. Pang, X. Wang, Y. Du, H. Chen, Free vibration analysis for composite laminated doubly-curved shells of revolution by a semi analytical method, Composite Structures, 201(1), (2018), 86-111. [21] J.C. Monge, J.L. Mantari, J. Yarasca, R.A. Arciniega, On Bending Response of Doubly Curved Laminated Composite, Shells Using Hybrid Refined Models, J. Appl. Comput. Mech., 5(5) (2019) 875-899. [22] M.M. Alipour, M. Shariyat, A power series solution for free vibration of variable thickness Mindlin circular plates with two-directional material heterogeneity and elastic foundations, Journal of solid mechanics 3 (2), (2011), 183-197. [23] M.M. Alipour, M. Shariyat, Semi-analytical buckling analysis of heterogeneous variable thickness viscoelastic circular plates on elastic foundations, Mechanics Research Communications 38 (8), (2011), 594-601. [24] M.M. Alipour, M. Shariyat, Semianalytical solution for buckling analysis of variable thickness two-directional functionally graded circular plates with nonuniform elastic foundations, Journal of Engineering Mechanics 139 (5), (2013), 664-676. [25] M.M. Alipour, M. Shariyat, An analytical global–local Taylor transformation-based vibration solution for annular FGM sandwich plates supported by nonuniform elastic foundations, Archives of Civil and Mechanical Engineering 14 (1), (2014), 6-24. [26] M.M. Alipour, M. Shariyat, Analytical zigzag formulation with 3D elasticity corrections for bending and stress analysis of circular/annular composite sandwich plates with auxetic cores, Composite Structures 132, (2015), 175-197. [27] M.M. Alipour, M. Shariyat, Analytical layerwise free vibration analysis of circular/annular composite sandwich plates with auxetic cores, International Journal of Mechanics and Materials in Design 13, (2017), 125-157. [28] M.M. Alipour, M. Shariyat, Nonlocal zigzag analytical solution for Laplacian hygrothermal stress analysis of annular sandwich macro/nanoplates with poor adhesions and 2D-FGM porous cores, Archives of Civil and Mechanical Engineering 19 (4), (2019), 1211-1234. [29] M.M. Alipour, M Shariyat, Using orthotropic viscoelastic representative elements for C1-continuous zigzag dynamic response assessment of sandwich FG circular plates with unevenly damaged adhesive layers, Mechanics Based Design of Structures and Machines 49 (3), (2021), 355-380. [30] M.M. Alipour, An analytical approach for bending and stress analysis of cross/angle-ply laminated composite plates under arbitrary non-uniform loads and elastic foundations, Archives of Civil and Mechanical Engineering 16, (2016), 193-210. | ||
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