Nonlinear vibration and buckling of functionally graded porous nanoscaled beams

作者：Mirjavadi Seyed Sajad; Afshari Behzad Mohasel; Khezel Mohammad; Shafiei Navvab^*; Rabby Samira; Kordnejad Morteza

来源：Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018, 40(7): UNSP 352.

DOI：10.1007/s40430-018-1272-8

• Nonlinear vibration
• Functionally graded
• Nonlocal nanobeam
• Porous
• GDQM

Although many researchers have studied the vibration and buckling behavior of porous materials, the behavior of porous nanobeams is still a needed issue to be studied. This paper is focused on the buckling and nonlinear vibration of functionally graded (FG) porous nanobeam for the first time. Nonlinear Von Karman strains are put into consideration to study the nonlinear behavior of nanobeam based on the Euler-Bernoulli beam theory. The nonlocal Eringen's theory is used to study the size effects. The mechanical properties of ceramic and metal are used to model the functionally graded material through thickness, and the boundary conditions are considered as clamped-clamped (CC) and simply supported-simply supported (SS). The generalized differential quadrature method (GDQM) is used in conjunction with the iterative method to solve the equations. The parametric study is done to examine the effects of nonlinearity, porosity, sized effect, FG index, etc., on the vibration and buckling of porous nanobeam.

• 出版日期2018-7