کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7174640 | 1465337 | 2014 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analysis of subcombination internal resonances in a non-linear cantilever beam of varying orientation with tip mass
ترجمه فارسی عنوان
تجزیه و تحلیل رزونانس داخلی ترکیبی در یک پرتو کانال غیر خطی جهت گوناگون با توده نوک
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کلمات کلیدی
پرتوهای کانتینری، جرم نیت، رزونانس داخلی ترکیبی،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
In this study, sub-combination internal resonance of a uniform cantilever beam of varying orientation with a tip mass under vertical base excitation was investigated. The Euler-Bernoulli theory for the slender beam was used to derive the governing non-linear partial differential equation. The governing equation, which retains the cubic non-linearities of geometric and inertial type, was discretised using Galerkin's method. The resulting second-order temporal differential equation was then reduced by the method of multiple scales to a set of first order six non-linear ordinary-differential equations, governing the amplitudes and phases of the three interacting modes. Both frequency-response and force-response curves were plotted for the case ΩâÏ4=1/2(Ï2+Ï5). Two possible responses occurred: single-mode and three-mode responses. The single-mode periodic response was observed to undergo supercritical and subcritical pitchfork bifurcations, which caused three-mode interactions. In the event of three-mode responses, there are conditions for which the low-frequency mode becomes effective over the response, resulting in high-amplitude oscillations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 58, January 2014, Pages 22-29
Journal: International Journal of Non-Linear Mechanics - Volume 58, January 2014, Pages 22-29
نویسندگان
Mustafa Yaman,