کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7174641 | 1465337 | 2014 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Physically and geometrically non-linear vibrations of thin rectangular plates
ترجمه فارسی عنوان
ارتعاشات فیزیکی و هندسی غیر خطی صفحات نازک مستطیلی
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کلمات کلیدی
قانون نئو هوکین، تئوری پلیت، ارتعاشات غیر خطی، غیر خطی فیزیکی، غیر خطی هندسی، بیش فعالی،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
Static deflection as well as free and forced large-amplitude vibrations of thin rectangular rubber plates under uniformly distributed pressure are investigated. Both physical, through a neo-Hookean constitutive law to describe the non-linear elastic deformation of the material, and geometrical non-linearities are accounted for. The deflections of a thin initially flat plate are described by the von Kármán non-linear plate theory. A method for building a local model, which approximates the plate behavior around a deformed configuration, is proposed. This local model takes the form of a system of ordinary differential equations with quadratic and cubic non-linearities. The corresponding results are compared to the exact solution and are found to be accurate. Two models reflecting both physical and geometrical non-linearities and geometrical non-linearities only are compared. It is found that the sensitivity of the deflection to the physically induced non-linearities at moderate strains is significant.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 58, January 2014, Pages 30-40
Journal: International Journal of Non-Linear Mechanics - Volume 58, January 2014, Pages 30-40
نویسندگان
Ivan D. Breslavsky, Marco Amabili, Mathias Legrand,