کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
511858 865937 2006 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A mathematical model for non-linear dynamics of conservative systems with non-homogeneous boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A mathematical model for non-linear dynamics of conservative systems with non-homogeneous boundary conditions
چکیده انگلیسی

In this work a transition into a chaotic dynamics of plates with unmovable boundary conditions along a plate contour and subjected to a longitudinal impact action modeled as a rectangular type loading of infinite length in time is studied. The well-known T. von Kármán equations governing behaviour of flexible isotropic plates have been applied. Finite-difference approximation of order O(h4) allowed to transform the problem from PDEs to ODEs. We have shown and discussed how the investigated plate vibrations are transmitted into chaotic dynamics through a period doubling bifurcation. Furthermore, essential influence of boundary conditions on bifurcations number is illustrated, and for all investigated problems the Feigenbaum constant estimation is reported.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Structures - Volume 84, Issues 29–30, November 2006, Pages 1918–1924
نویسندگان
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