Identifying the mechanical properties of chromium nanobeams with artificial bee colony optimization method based on large deflection analysis with surface effects

In this research, by using an artificial bee colony optimization algorithm, the mechanical properties of chromium nanobeams have been identified in such a way that the error of the mathematical model in the interpretation of the experimental results be minimized. Since conventional continuous medium theories cannot correctly simulate the behavior of structures in the nanoscale, also, large deflections in nano dimensions are not far from expected, therefore, the mathematical modeling of the large deflections of the beam based on surface effects is considered to predict the behavior of chromium nanobeams. The mechanical properties of chromium nanobeam have been considered the value of elastic modulus, the value of residual surface stress and the values of support properties, that is, the value of initial slope of the beam at the support and the value of bending spring coefficient of the support. In this research, the effects of mechanical properties have been investigated separately and simultaneously on the behavior of nanobeams. It has been determined that all four parameters must be considered to simulate the exact behavior of the nanobeam. In addition, among the investigated mechanical properties, removing the support properties in the prediction of experimental deflections causes the most errors, and removing the surface effects causes the least errors. Furthermore, the error has been reduced by far compared to previous works.