کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10136149 | 1645679 | 2019 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the detection of artifacts in Harmonic Balance solutions of nonlinear oscillators
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the detection of artifacts in Harmonic Balance solutions of nonlinear oscillators On the detection of artifacts in Harmonic Balance solutions of nonlinear oscillators](/preview/png/10136149.png)
چکیده انگلیسی
Harmonic Balance is a very popular semi-analytic method in nonlinear dynamics. It is easy to apply and is known to produce good results for numerous examples. Adding an error criterion taking into account the neglected terms allows an evaluation of the results. Looking on the therefore determined error for increasing ansatz orders, it can be evaluated whether a solution really exists or is an artifact. For the low-error solutions additionally a stability analysis is performed which allows the classification of the solutions in three types, namely in large error solutions, low error stable solutions and low error unstable solution. Examples considered in this paper are the classical Duffing oscillator and an extended Duffing oscillator with nonlinear damping and excitation. Compared to numerical integration, the proposed procedure offers a faster calculation of existing multiple solutions and their character.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 65, January 2019, Pages 408-414
Journal: Applied Mathematical Modelling - Volume 65, January 2019, Pages 408-414
نویسندگان
U. von Wagner, L. Lentz,