Analytical Solution for Free Vibration of a Variable Cross-section Nonlocal Nanobeam
محل انتشار: ماهنامه بین المللی مهندسی، دوره: 29، شماره: 5
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 515
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شناسه ملی سند علمی:
JR_IJE-29-5_013
تاریخ نمایه سازی: 12 دی 1395
چکیده مقاله:
In this article, small scale effects on free vibration analysis of non-uniform nanobeams is discussed. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width among the beams length with constant thickness. Analytical solution is achieved for free vibration with different boundary conditions. It is shown that section variation accompanying small scale effects has a noticeable effect on natural frequencies of non-uniform beams at nano scale. First, five natural frequencies of single-layered graphene nanoribbons (GNRs) with various boundary conditions are obtained for different nonlocal and nonuniform parameters which shows a great sensitivity to non-uniformity in different shape modes.
کلیدواژه ها:
Free VibrationAnalytical SolutionNonlocalNanobeamVariable Cross Section
نویسندگان
S Hosseini Hashemi
School of Mechanical Engineering, Iran University of Science and Technology, Iran
H Bakhshi Khaniki
School of Mechanical Engineering, Iran University of Science and Technology, Iran