کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707257 1012526 2007 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The equivalence of the refined theory and the decomposition theorem of rectangular beams
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The equivalence of the refined theory and the decomposition theorem of rectangular beams
چکیده انگلیسی

This paper presents the decomposition theorem of rectangular beams and indicates that the general state of stress of beams can be decomposed into two parts: the interior state and the Papkovich–Fadle state (shortened form the P–F state). The refined theory of beams is derived by using Papkovich–Neuber solution (shortened form the P–N solution) and Lur’e method without ad hoc assumptions. It is shown that the displacements and stresses of the beam can be represented by the angle of rotation and the deflection of the neutral surface. Based on the refined beam theory, the exact equations for the beam without transverse surface loadings are derived and consist of two governing differential equations: the fourth-order equation and the transcendental equation. It is then proved that the refined beam theory and the decomposition beam theorem are equivalent, i.e., the fourth-order equation and the transcendental equation are equivalent to the interior state and the P–F state, respectively.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 31, Issue 3, March 2007, Pages 551–563
نویسندگان
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