کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10415153 | 897227 | 2005 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Periodic behavior of a nonlinear third order vibrating system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Periodic behavior of a nonlinear third order vibrating system Periodic behavior of a nonlinear third order vibrating system](/preview/png/10415153.png)
چکیده انگلیسی
A theorem is proved to show that the third order differential equation xâ´+f(t,x,xâ²,xâ³)=0 has nontrivial solutions characterized by xâ²(0)=xâ²(Ï)=0 when x,xâ²,xâ³ and f(t,x,xâ²,xâ³) are bounded. A second condition is introduced to prove the existence of periodic solution for this equation. It is shown that the equation has a Ï-periodic solution if f(t,x,xâ²,xâ³) is an even function with respect to xâ². The existence and periodicity conditions would be applied to third order systems such as viscoelastic mechanical vibration isolator system. The concepts of Green's function and the Schauder's fixed-point theorem have been used for proving the third-order-existence theorem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 10, Issue 4, June 2005, Pages 441-450
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 10, Issue 4, June 2005, Pages 441-450
نویسندگان
Gholamreza Nakhaie Jazar, Mohammad Mahinfalah, Mohammad H. Alimi, Ali Khazaei,