Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory

Abstract

Buckling of axially loaded cantilever nanobeams with intermediate support have been studied in the current study. Higher order size dependent strain gradient theory has been utilized to capture the scale effect in nano dimension. Minimum total potential energy formulation has been used in modeling of nanobeam. Approximate Ritz method has been applied to the energy formulation for obtaining critical buckling loads. Position of the intermediate support has been varied and its effect on the critical buckling load has been investigated in the analysis. Mode shapes in critical buckling loads have been shown for various intermediate support positions. Present results could be useful in design of carbon nanotube resonators.

Accurate Small Sized Load Bearing Components Displacement Analysis

“…Setting up a new laboratory to perform nano sized analyzes can reach astronomical costs while the cost is lower in millimeter scaled engineering. Due to the ease of perform multiple analyzes at same time and no need to laboratory, researchers prefer to perform analyzes using classical mechanic [6][7][8][9] which leads to give non-accurate results, taking the size effect into consideration using higher order continuum theories such as strain gradient [10][11][12][13], modified strain gradient [12], couple stress [11,14,15], modified couple stress [16,17], nonlocal elasticity [18][19][20][21], surface elasticity [22][23][24][25][26] etc. Also, finite element [27,28] and DSC method [29][30][31][32][33][34] methods were also used to perform analyzes.…”

Critical Buckling Load of SiCNTs: A Molecular Dynamics Study on Gas Sensing

“…As setting up a new laboratory to perform nano sized analyzes can reach astronomical costs, researchers prefer to perform analyzes using classical mechanic [16][17][18][19] which leads to give non-accurate results, higher order continuum mechanics theories such as strain gradient [20][21][22][23], couple stress [21,[24][25][26], nonlocal elasticity [27][28][29][30], surface elasticity [31][32][33][34][35] etc. Furthermore, finite element [36,37] and DSC method [38][39][40][41][42][43] methods were also used to perform analyzes without the need of a lab.…”