علوم و فناوری کامپوزیت

تحلیل ارتعاشات آزاد پوسته‌های استوانه‌ای کامپوزیتی دارای گشودگی مستطیلی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشیار، مجتمع دانشگاهی مواد و فناوری‌های ساخت، دانشگاه صنعتی مالک اشتر، تهران

2 دانشجو، مجتمع دانشگاهی مواد و فناوری‌های ساخت، دانشگاه صنعتی مالک اشتر، تهران.

3 دانشیار، مجتمع دانشگاهی مواد و فناوری‌های ساخت، دانشگاه صنعتی مالک اشتر، تهران .

چکیده

در این مقاله ارتعاشات آزاد پوسته های استوانه ای کامپوزیتی چندلایه دارای گشودگی مستطیلی به روش تحلیلی بررسی شده است. معادلات تعادل پوسته استوانه ای بر اساس تئوری کلاسیک پوسته و با استفاده از روش نیوتن استخراج شده اند. شرایط مرزی پوسته دو سر ساده در نظر گرفته شده است. مؤلفه‌های جابه جایی با توجه به شرایط مرزی به ‌صورت بسط سری فوریه دوگانه نوشته شده اند. روابط کرنش-جابجایی و انحنا-جابجایی بر اساس نظریه تقریب لاو در نظر گرفته شده است. مدل سازی گشودگی توسط تایع توزیع (هویساید) بر معادلات تعادل پوسته استوانه ای کامپوزیتی در نظر گرفته شده است. برای بدست آوردن فرکانس طبیعی پوسته استوانه ای کامپوزیتی دارای گشودگی ، معادلات حرکت با استفاده از روش گالرکین حل شده اند. برای صحه گذاری، نتایج پوسته استوانه ای کامپوزیتی با نرم افزار المان محدود آباکوس و مقالات پیشین در این زمینه مقایسه شده اند که مطابقت خوبی بین آن ها وجود دارد. در نهایت اثر پارامترهای هندسی پوسته استوانه ای کامپوزیتی دارای گشودگی مانند طول، شعاع، ضخامت و لایه چینی پوسته استوانه‌ای و همچنین ابعاد، جهت و محل گشودگی بر فرکانس طبیعی سازه بررسی شد که نتایج نشان می دهد که با افزایش ابعاد گشودگی میزان کاهش فرکانس طبیعی سازه، افزایش می یابد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Analysis of free vibration of laminated composite cylindrical shells with rectangular cutout

نویسندگان [English]

  • Reza Azarafza 1
  • Shahin Aslanzadeh GoliBeiglo 2
  • Ali Davar 3

1 Faculty of Materials & Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran.

2 Faculty of Materials & Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran.

3 Faculty of Materials & Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran.

چکیده [English]

In this paper, the free vibrations of multi-layered composite cylindrical shells with rectangular cutout are analyzed analytically. Cylindrical shell equilibrium equations are derived based on classical shell theory (CST) and using Newton's method. Boundary conditions of the two-headed shell are considered simply supported. According to the boundary conditions, the displacement components are written as double Fourier series expansions. Relationships of the strain-displacement and curvature displacement are considered based on Love’s approximation theory. Modeling of the cutout by distribution function (Heaviside) is considered based on the equilibrium equations of the composite cylindrical shell. In order to obtain the natural frequency of the rectangular cutout composite cylindrical shell, the equations of motion have been solved using the Galerkin method. For validation, firstly, the results of the composite cylindrical shell have been compared with the Abaqus finite element software and the Previous literature in this field, that there is a good match between them. Finally, the effect of the geometrical parameters of the composite cylindrical shell with cutout, such as the length, radius, thickness and layering of the cylindrical shell, as well as the dimensions, direction and location of the cutout, on the natural frequency of the structure was investigated, that the results show that with increasing The dimensions of the cutout increase the reduction of the natural frequency of the structure.

کلیدواژه‌ها [English]

  • Cylindrical shell
  • Free vibrations
  • Cutout in the wall of cylindrical shells
  • Heaviside function
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علوم و فناوری کامپوزیت
دوره 10، شماره 2
شهریور 1402
صفحه 2196-2209
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