Stability of nanobeams under nonconservative surface loading

Abstract

AbstractA universal algorithm for analyzing the stability of Euler–Bernoulli nanobeams with any support conditions, subjected to arbitrary conservative and nonconservative loads, has been shown. The analysis was carried out using exact solutions in each of the prismatic nanobeam segments. The study of the determinant of a homogeneous system of equations resulting from boundary conditions and continuity conditions at the contact points of the nanobeam elements was the basis for the analysis of its critical loads. The presented general algorithm was used to analyze the impact on critical loads of prestress nanobeams caused by conservative and nonconservative external surface loads.