کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
509803 865713 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the analysis of thin-walled beams based on Hamiltonian formalism
ترجمه فارسی عنوان
در تجزیه و تحلیل تیرهای نازک دیواره بر اساس فرمالیزم همیلتون
کلمات کلیدی
پرتو نازک دیواره، مشکل سنت ونانت، فرمالیزم همیلتون راه حل های مرکزی، راه حل های افراطی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی


• The Hamiltonian approach is generalized to beams consisting of thin-walled panels.
• The proposed approach can handle curved sectional geometries.
• Closed-form central and extremity solutions are found.
• Correct boundary conditions based on the weak form formulation are derived.
• The beam’s 6 × 6 sectional stiffness matrix is a by-product of the analysis.

In this paper, the Hamiltonian approach developed for beam with solid cross-section is generalized to deal with beams consisting of thin-walled panels. The governing equations of plates and cylindrical shells for the panels are cast into Hamiltonian canonical equations and closed-form central and extremity solutions are found. Typically, the end-effect zones for thin-walled beams are much larger than those for beams with solid cross-sections. Consequently, extremity solutions affect the solution significantly. Correct boundary conditions based on the weak form formulation are derived. Numerical examples are presented to demonstrate the capabilities of the analysis. Predictions are found to be in good agreement with those of plate and shell FEM analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Structures - Volume 170, 1 July 2016, Pages 37–48
نویسندگان
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