کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
511858 | 865937 | 2006 | 7 صفحه PDF | دانلود رایگان |
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.
Journal: Computers & Structures - Volume 84, Issues 29–30, November 2006, Pages 1918–1924