کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6753306 1430810 2018 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-symmetric forms of non-linear vibrations of flexible cylindrical panels and plates under longitudinal load and additive white noise
ترجمه فارسی عنوان
شکل غیر متقارن ارتعاش های غیر خطی پانل های پلاستیکی و صفحات پلاستیکی تحت بار طولی و نویز سفید افزایشی
کلمات کلیدی
حالت های غیر متقارن، سر و صدای سفید، ارتعاش پارامتریک، فرآیندهای انتقالی روش اختلاف محدود
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی
Parametric non-linear vibrations of flexible cylindrical panels subjected to additive white noise are studied. The governing Marguerre equations are investigated using the finite difference method (FDM) of the second-order accuracy and the Runge-Kutta method. The considered mechanical structural member is treated as a system of many/infinite number of degrees of freedom (DoF). The dependence of chaotic vibrations on the number of DoFs is investigated. Reliability of results is guaranteed by comparing the results obtained using two qualitatively different methods to reduce the problem of PDEs (partial differential equations) to ODEs (ordinary differential equations), i.e. the Faedo-Galerkin method in higher approximations and the 4th and 6th order FDM. The Cauchy problem obtained by the FDM is eventually solved using the 4th-order Runge-Kutta methods. The numerical experiment yielded, for a certain set of parameters, the non-symmetric vibration modes/forms with and without white noise. In particular, it has been illustrated and discussed that action of white noise on chaotic vibrations implies quasi-periodicity, whereas the previously non-symmetric vibration modes are closer to symmetric ones.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 423, 9 June 2018, Pages 212-229
نویسندگان
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