Abstract
To investigate the surface effects on thermomechanical vibration and buckling of embedded circular curved nanosize beams, nonlocal elasticity model is used in combination with surface properties including surface elasticity, surface tension, and surface density for modeling the nanoscale effect. The governing equations are determined via the energy method. Analytically Navier method is utilized to solve the governing equations for simply supported nanobeam at both ends. Solving these equations enables us to estimate the natural frequency and critical buckling load for circular curved nanobeam including Winkler and Pasternak elastic foundations and under the effect of a uniform temperature change. The results determined are verified by comparing the results with available ones in literature. The effects of various parameters such as nonlocal parameter, surface properties, Winkler and Pasternak elastic foundations, temperature, and opening angle of circular curved nanobeam on the natural frequency and critical buckling load are successfully studied. The results reveal that the natural frequency and critical buckling load of circular curved nanobeam are significantly influenced by these effects.
Highlights
Nanomaterials are attracting many researchers over the recent years due to their improvement of the quality properties
The nonlinear vibration of the piezoelectric nanobeams based on the Timoshenko beam theory and nonlocal modeling has been investigated by Ke et al [7]
Numerical results are presented for the vibration and buckling of circular curved nanobeam embedded in an elastic medium with surface properties
Summary
Nanomaterials are attracting many researchers over the recent years due to their improvement of the quality properties. Atomistic modeling and experimental researches show that the size effect gains important when the dimensions of structures become very small. Due to this fact, the size effect plays an important role on the mechanical behavior of microand nanostructures [1]. Reddy [4] has investigated nonlocal theories for bending, buckling, and vibration of beams. A nonlocal beam theory is presented by Thai [6], in this research; bending, buckling, and vibration of nanobeams have been investigated. The nonlinear vibration of the piezoelectric nanobeams based on the Timoshenko beam theory and nonlocal modeling has been investigated by Ke et al [7]. In addition Murmu and Adhikari [8] have investigated the nonlocal transverse vibration of double-nanobeam-system
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