کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
784057 1465407 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal shape of a vertical rotating column
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Optimal shape of a vertical rotating column
چکیده انگلیسی

We determine the shape of the lightest rotating column that is stable against buckling, positioned in a constant gravity field, oriented along the column axis. In deriving the optimality conditions, the Pontryagin's principle was used. Optimal cross-sectional area is obtained from the solution of a non-linear boundary value problem. For this problem a variational principle and a first integral are formulated. Also a priori estimates of the cross-sectional area at the lower end are presented. The procedure is illustrated by three concrete examples. The problem treated here may be considered as a step in the dynamic optimization procedure of a heavy rotating column.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 42, Issue 1, January 2007, Pages 172–179
نویسندگان
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