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Analytical modeling for the determination of nonlocal resonance frequencies of perforated nanobeams subjected to temperature-induced loads |
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| Institution: | 1. Laboratory FUNDAPL, Faculty of science, University of Blida, Blida BP. 270 09000, Algeria;2. Institute FEMTO-ST, Université de Franche-Comté, CNRS, F-25044 Besancon, Cedex, France;1. Institute of Theoretical Physics and Astronomy, Vilnius University, A. Gostauto 12, LT-01108 Vilnius, Lithuania;2. Research Institute for Applied Physics, University of Tabriz, Tabriz, Iran;2. US Department of Commerce, National Oceanic and Atmospheric Administration, Northeast Fisheries Science Center, Narragansett Laboratory, 28 Tarzwell Drive, Narragansett, RI 02882, USA;1. Kobe Advanced ICT Research Institute, National Institute of Information and Communications Technology, 588-2 Iwaoka, Kobe, Hyogo 651-2492, Japan;2. Department of Physics, Kyushu University, Hakozaki, Fukuoka 812-8581, Japan;3. Surface Physics and Structure Unit, National Institute for Materials Science, 3-13 Sakura, Tsukuba 305-0003, Japan |
| Abstract: | This paper is concerned with the investigation of thermal loads and small scale effects on free dynamics vibration of slender simply-supported nanobeams perforated with periodic square holes network and subjected to temperature-induced loads. The Euler–Bernoulli beam model (EBM) and shear beam model (SBM) developed for the determination of resonance frequency are derived by modifying the standard Timoshenko beam equations. The small scale effect is included by using the Eringen's nonlocal elasticity theory while the thermal loads effect is included by considering the additional axial thermal force in the standard differential equations. Numerical results are shown that the resonance frequency change, the thermal loads and the small scale effects are depended on size and number of holes. Thus, numerical results are discussed in detail for a properly investigation of the dynamic behavior of perforated nanobeams which are of interest in the development of resonant devices integrated in micro/nanoelectromichanical systems (M(N)EMS). |
| Keywords: | Periodic square holes Shear distortion Equivalent parameters Nonlocal elasticity Temperature change |
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