کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473002 698761 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of a generalized Senator–Bapat perturbation technique to nonlinear dynamical systems with an irrational restoring force
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Application of a generalized Senator–Bapat perturbation technique to nonlinear dynamical systems with an irrational restoring force
چکیده انگلیسی

This paper presents an alternative approach for mathematical modeling of an oscillating system with an irrational restoring force. Such a model corresponds to the oscillation of an elastic wire or string. A generalized Senator–Bapat perturbation technique is employed to deal with this nonlinear system. Unlike the conventional perturbation method, it not only solves the nonlinear problem without the requirement of small parameters, but also provides highly accurate solutions for small as well as large amplitudes of motion. Illustrative examples are selected and demonstrated for verifying the accuracy of this approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 60, Issue 7, October 2010, Pages 2078–2086
نویسندگان
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