کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638969 1632029 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of penalty formulations for constrained mechanical systems using heterogeneous multiscale methods
ترجمه فارسی عنوان
حل عددی فرمول های مجاز برای سیستم های مکانیکی محدود با استفاده از روش های چندمتغیره ناهمگن
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The heterogeneous multiscale methods (HMM) extend the classical methods of averaging to a purely numerical approach for the solution of problems involving multiple scales. Especially for highly oscillatory ordinary differential equations HMM were recently seen to be competitive with usual time integration schemes. We study this hypothesis in the special case of penalty formulations for index-three differential-algebraic equations arising in multibody dynamics which have the particular property of solution-dependent oscillations with variable frequencies. First we motivate some additional assumptions on the structure of the proposed problems and give error estimates extending the results of Engquist et al. Limitations of the considered approach will be illustrated by means of the seven body mechanism benchmark.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 262, 15 May 2014, Pages 193–204
نویسندگان
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