کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
568483 876402 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reducing sparse nonlinear eigenproblems by automated multi-level substructuring
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
پیش نمایش صفحه اول مقاله
Reducing sparse nonlinear eigenproblems by automated multi-level substructuring
چکیده انگلیسی

The automated multi-level substructuring method (AMLS) was recently suggested as an alternative to iterative projection methods for computing eigenpairs of huge matrix eigenproblems in the context of structural engineering. Taking advantage of a substructuring on several levels the method constructs a projected problem of much smaller dimension which still yields satisfactory accuracy over a wide frequency range of interest. In this paper we generalise the AMLS method to certain classes of nonlinear eigenvalue problems which can be partitioned into an essential linear and positive definite pencil and a small residual. The efficiency of the method is demonstrated by numerical examples modeling damped vibrations of a structure with nonproportional damping, a gyroscopic eigenproblem, and a rational eigenproblem governing free vibrations of a fluid–solid structure.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volume 39, Issue 10, October 2008, Pages 828–838
نویسندگان
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