کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6915705 | 1447405 | 2018 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A primal-dual predictor-corrector interior point method for non-smooth contact dynamics
ترجمه فارسی عنوان
یک روش پیش بینی کننده داخلی دو طرفه برای اصلاح نقطه داخلی برای پویایی تماس نامناسب
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Time-stepping methods for non-smooth dynamics are based on the solution of multiple complementarity problems: solving this class of problems represents a major numerical bottleneck, especially when dealing with near-singular and ill-posed systems such as those which feature large mass ratios between mechanical parts. To overcome these difficulties, we propose the adoption of a log-barrier method whose convergence properties outperform classical methods used in literature. This leads to a primal-dual interior point method, based on a custom Mehrotra predictor-corrector scheme, that is able to operate on the typical sparse matrices of multibody dynamics and that can accommodate tangent stiffness matrices arising from flexible bodies, if any. Although our original method addresses unilateral constraints only, it is possible to formulate it in order to include equality constraints, for example when adding joints. We implemented the algorithm in C++ in the open-source Project Chrono. Results show that the method converges to small residuals even in ill-posed scenarios that downgrade the convergence of other methods. Finally, for the sake of high efficiency, we tested different options for the linear solvers used in the inner iteration.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 330, 1 March 2018, Pages 351-367
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 330, 1 March 2018, Pages 351-367
نویسندگان
Dario Mangoni, Alessandro Tasora, Rinaldo Garziera,