کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7154447 | 1462580 | 2018 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bifurcation & chaos in nonlinear structural dynamics: Novel & highly efficient optimal-feedback accelerated Picard iteration algorithms
ترجمه فارسی عنوان
دوگانگی و هرج و مرج در دینامیک ساختاری غیر خطی: الگوریتم تکرار پیکارد تسریع نوشتاری و بازده مطلوب بهینه
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کلمات کلیدی
روش متغیر روش تکرار پیکارد، روش همبستگی، ارتعاشات ساختاری، دینامیک غیر خطی،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
A new class of algorithms for solving nonlinear structural dynamical problems are derived in the present paper, as being based on optimal-feedback-accelerated Picard iteration, wherein the solution vectors for the displacements and velocities at any time t in a finitely large time interval tiâ¤tâ¤ti+1 are corrected by a weighted (with a matrix λ) integral of the error from ti to t. We present 3 approximations to solve the Euler-Lagrange equations for the optimal weighting functions λ; thus we present 3 algorithms denoted as Optimal-Feedback-Accelerated Picard Iteration (OFAPI) algorithms-1, 2, 3. The interval (ti+1âti) in the 3 OFAPI algorithms can be several hundred times larger than the increment (Ît) required in the finite difference based implicit or explicit methods, for the same stability and accuracy. Moreover, the OFAPI algorithms-2, 3 do not require the inversion of the tangent stiffness matrix, as is required in finite difference based implicit methods. It is found that OFAPI algorithms-1, 2, 3 (especially OFAPI algorithm-2) require several orders of magnitude of less computational time than the currently popular implicit and explicit finite difference methods, and provide better accuracy and convergence.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 65, December 2018, Pages 54-69
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 65, December 2018, Pages 54-69
نویسندگان
Wang Xuechuan, Pei Weicheng, Atluri Satya N.,