Vibration and Dynamic Analysis of a Micro/Nano Beam Made of Functionally Graded Materials Subjected to an External Load Using the Non-Local Theory

Please enable javascript in your browser.

Moheimani, Reza | 2012

933 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42891 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Ahmadian, Mohammad Taghi; Zohoor, Hassan
Abstract:
Nowadays functionally graded materials (FGM's) are widely used in different engineering applications such as aerospace, solid mechanics And biomechanics among others. FGM's are inhomogeneous composites made of two different materials, usually a metal and a ceramic with continuous variation of properties. Recently these materials according to their special characteristics are used in micro and nano electro mechanical systems. As size decreases in mechanical systems due to interatomic forces, energy balance law won't be valid locally and therefore classical equations of elasticity may not be used anymore. To overcome this problem,nonlocal theories of elasticity were initiated in works of Eringen and completed by Eringen and others. In this study free vibration a beam with size of micron to nano scale made of functionally graded materials is investigated utilizing nonlocal theories. Different boundary conditions are considered and nonlocal effect is on the natural frequencies and mode shapes are studied. Results indicate that implementation of nonlocal theories may affect the vibrational characteristics, specially in the case of nanobeams
Keywords:
Euler-Bernoulli Beam ; Nonlocal Theory ; Functionally Graded Materials (FGM) ; Mode-Summation Method ; Nano/Micro Beams