کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897092 1533986 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A principle of similarity for nonlinear vibration absorbers
ترجمه فارسی عنوان
یک اصل شباهت برای جذب لرزش غیر خطی
کلمات کلیدی
اصل شباهت؛ رزونانس غیر خطی؛ روش برابر اوج؛ جاذب ارتعاش
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی


• Adopting a principle of similarity, a nonlinear vibration absorber is defined.
• The vibration absorber should have the same functional form of the primary system.
• The absorber generalizes Den Hartog’s equal-peak method for nonlinear systems.
• A compact analytical formula for optimal tuning is defined.
• If more nonlinearities are present the formula exploiting a principle of additivity.

This paper develops a principle of similarity for the design of a nonlinear absorber, the nonlinear tuned vibration absorber (NLTVA), attached to a nonlinear primary system. Specifically, for effective vibration mitigation, we show that the NLTVA should feature a nonlinearity possessing the same mathematical form as that of the primary system. A compact analytical formula for the nonlinear coefficient of the absorber is then derived. The formula, valid for any polynomial nonlinearity in the primary system, is found to depend only on the mass ratio and on the nonlinear coefficient of the primary system. When the primary system comprises several polynomial nonlinearities, we demonstrate that the NLTVA obeys a principle of additivity, i.e., each nonlinear coefficient can be calculated independently of the other nonlinear coefficients using the proposed formula.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 332, 1 October 2016, Pages 1–8
نویسندگان
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