Static analysis of tapered nanowires based on nonlocal Euler-Bernoulli beam theory via differential quadrature method

Abstract

As a first endeavor, bending analysis of tapered nano wires with circular cross section is investigated. In this research, nonlocal elasticity theory based on Euler-Bernoulli beam theory is used to formulate the equations. Differential quadrature method (DQM) is employed to solve the governing equations. Different parameters such as nonlocal parameter, length and radius of tapered nano wires are also considered. The results of present work can be used as bench marks for future works.

Tapered nanowires; Nonlocal Euler-Bernoulli beam theory; Differential quadrature method; Static analysis