کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627855 | 1631819 | 2014 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position](/preview/png/4627855.png)
چکیده انگلیسی
This paper presents a methodology to investigate the free vibration of nonlinear material graduations of a nanobeam based on the nonlocal Timoshenko theory using finite element method. The non-classical nonlocal Eringen nanobeam model considers the length scale parameter, which captures the small scale effect. The material properties of the functionally graded (FG) nanobeam are assumed to vary nonlinearly in the thickness direction. The location of neutral axis is determined and the kinematic fit conditions of the nanobeam are proposed according to super convergent Timoshenko beam. A numerical solution of the equation of motion is obtained through the finite element method (FEM). The developed methodology is applied to detect the free vibration response of different nano-Timoshenko beams with different boundary conditions, material exponents, and nonlocality parameters. The obtained numerical results are reflected the significant effect of neutral axis position, material distribution profile, and the nonlocality parameter on the fundamental frequencies of nano-Timoshenko beams.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 235, 25 May 2014, Pages 512-529
Journal: Applied Mathematics and Computation - Volume 235, 25 May 2014, Pages 512-529
نویسندگان
M.A. Eltaher, A.A. Abdelrahman, A. Al-Nabawy, M. Khater, A. Mansour,