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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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