کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5470857 1519380 2018 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A novel numerical solution strategy for solving nonlinear free and forced vibration problems of cylindrical shells
ترجمه فارسی عنوان
استراتژی راه حل عددی جدید برای حل مسائل لرزش آزاد و غیر مجاز پوسته استوانه ای غیر خطی
کلمات کلیدی
پوسته سیلندر، ارتعاش آزاد و غیر مجاز، روش تنوع عددی،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
Nonlinear vibration analysis of circular cylindrical shells has received considerable attention from researchers for many decades. Analytical approaches developed to solve such problem, even not involved simplifying assumptions, are still far from sufficiency, and an efficient numerical scheme capable of solving the problem is worthy of development. The present article aims at devising a novel numerical solution strategy to describe the nonlinear free and forced vibrations of cylindrical shells. For this purpose, the energy functional of the structure is derived based on the first-order shear deformation theory and the von-Kármán geometric nonlinearity. The governing equations are discretized employing the generalized differential quadrature (GDQ) method and periodic differential operators along axial and circumferential directions, respectively. Then, based on Hamilton's principle and by the use of variational differential quadrature (VDQ) method, the discretized nonlinear governing equations are obtained. Finally, a time periodic discretization is performed and the frequency response of the cylindrical shell with different boundary conditions is determined by applying the pseudo-arc length continuation method. After revealing the efficiency and accuracy of the proposed numerical approach, comprehensive results are presented to study the influences of the model parameters such as thickness-to-radius, length-to-radius ratios and boundary conditions on the nonlinear vibration behavior of the cylindrical shells. The results indicate that variation of fundamental vibrational mode shape significantly affects frequency response curves of cylindrical shells.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 53, January 2018, Pages 653-672
نویسندگان
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