کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6748671 | 1430213 | 2015 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the solution of Almansi-Michell's problem
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
This paper develops a Hamiltonian formalism for the solution of Almansi-Michell's problem that generalizes the corresponding solution of Saint-Venant's problem. Saint-Venant's and Almansi-Michell's problems can be represented as homogenous and non-homogenous Hamiltonian systems, respectively. The solution of Almansi-Michell's problem is determined by the coefficients of the Hamiltonian matrix but also by the distribution pattern of the applied loading. The solution proceeds in two steps: first, for the homogenous problem, a projective transformation is constructed based on a symplectic matrix and second, the effects of the external loading are taken into account by augmenting this projection. With the help of this projection, the three-dimensional governing equations of Almansi-Michell's problem are reduced to a set of one-dimensional beam-like equations, leading to a recursive solution process. Furthermore, the three-dimensional displacement, strain, and stress fields can be recovered from the one-dimensional solution. Numerical examples show that the predictions of the proposed approach are in excellent agreement with exact solutions of two-dimensional elasticity and three-dimensional FEM analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volumes 75â76, 1 December 2015, Pages 156-171
Journal: International Journal of Solids and Structures - Volumes 75â76, 1 December 2015, Pages 156-171
نویسندگان
Shilei Han, Olivier A. Bauchau,